{"id":2342,"date":"2026-05-30T18:35:39","date_gmt":"2026-05-30T10:35:39","guid":{"rendered":"http:\/\/www.preluna.xyz\/?p=2342"},"modified":"2026-05-31T18:25:11","modified_gmt":"2026-05-31T10:25:11","slug":"%e6%b5%ae%e7%82%b9%e6%95%b0%ef%bc%8c%e6%95%b0%e7%ac%a6%e3%80%81%e9%98%b6%e7%a0%81%e3%80%81%e9%98%b6%e7%ac%a6%e3%80%81%e5%b0%be%e6%95%b0%e5%88%86%e5%88%ab%e6%98%af%e4%bb%80%e4%b9%88","status":"publish","type":"post","link":"http:\/\/www.preluna.xyz\/index.php\/2026\/05\/30\/%e6%b5%ae%e7%82%b9%e6%95%b0%ef%bc%8c%e6%95%b0%e7%ac%a6%e3%80%81%e9%98%b6%e7%a0%81%e3%80%81%e9%98%b6%e7%ac%a6%e3%80%81%e5%b0%be%e6%95%b0%e5%88%86%e5%88%ab%e6%98%af%e4%bb%80%e4%b9%88\/preluna\/text\/","title":{"rendered":"\u6d6e\u70b9\u6570\uff0c\u6570\u7b26\u3001\u9636\u7801\u3001\u9636\u7b26\u3001\u5c3e\u6570\u5206\u522b\u662f\u4ec0\u4e48"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u6d6e\u70b9\u6570\u7684\u57fa\u672c\u601d\u60f3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u4e0d\u662f\u76f4\u63a5\u628a\u6240\u6709\u4e8c\u8fdb\u5236\u4f4d\u90fd\u62ff\u6765\u8868\u793a\u4e00\u4e2a\u5b9a\u70b9\u5c0f\u6570\uff0c\u800c\u662f\u628a\u4e00\u4e2a\u6570\u62c6\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6d6e\u70b9\u6570\u771f\u503c = \u6570\u7b26 \u00d7 \u5c3e\u6570 \u00d7 \u57fa\u6570^\u9636\u7801\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u66f4\u5e38\u89c1\u5730\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>N = (-1)^S \u00d7 M \u00d7 R^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>S<\/code> \u662f\u6570\u7b26\uff0c\u7528\u6765\u8868\u793a\u6574\u4e2a\u6570\u7684\u6b63\u8d1f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>M<\/code> \u662f\u5c3e\u6570\uff0c\u4e5f\u53eb\u6709\u6548\u6570\u3001\u6709\u6548\u6570\u5b57\u90e8\u5206\uff0c\u4e3b\u8981\u51b3\u5b9a\u8fd9\u4e2a\u6570\u201c\u6709\u591a\u7cbe\u7ec6\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>R<\/code> \u662f\u57fa\u6570\uff0c\u4e8c\u8fdb\u5236\u8ba1\u7b97\u673a\u4e2d\u901a\u5e38\u662f <code>2<\/code>\uff0c\u6240\u4ee5\u4e00\u822c\u5199\u6210 <code>2^E<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>E<\/code> \u662f\u9636\u7801\uff0c\u4e5f\u5c31\u662f\u6307\u6570\uff0c\u4e3b\u8981\u51b3\u5b9a\u5c0f\u6570\u70b9\u79fb\u52a8\u5230\u54ea\u91cc\uff0c\u56e0\u6b64\u4e3b\u8981\u51b3\u5b9a\u8868\u793a\u8303\u56f4\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u4e8c\u8fdb\u5236\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>101.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.01101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc <code>1.01101\u2082<\/code> \u5c31\u662f\u5c3e\u6570\u90e8\u5206\uff0c<code>2<\/code> \u662f\u57fa\u6570\uff0c<code>2<\/code> \u4e0a\u9762\u7684\u6307\u6570 <code>2<\/code> \u662f\u9636\u7801\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u6570\u7b26\u3001\u9636\u7801\u3001\u9636\u7b26\u3001\u5c3e\u6570\u5206\u522b\u662f\u4ec0\u4e48<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u8ba1\u7ec4\u6559\u6750\u91cc\uff0c\u6d6e\u70b9\u6570\u683c\u5f0f\u901a\u5e38\u88ab\u62c6\u6210\u51e0\u6bb5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26 | \u9636\u7801 | \u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6216\u8005\u66f4\u7ec6\u4e00\u70b9\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26 | \u9636\u7b26 | \u9636\u7801\u6570\u503c\u90e8\u5206 | \u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u8981\u6ce8\u610f\uff0c\u6709\u4e9b\u6559\u6750\u4e2d\u7684\u201c\u9636\u7801\u201d\u4f1a\u5305\u542b\u201c\u9636\u7b26\u201d\uff0c\u6709\u4e9b\u6559\u6750\u4f1a\u628a\u201c\u9636\u7b26\u201d\u548c\u201c\u9636\u7801\u6570\u503c\u201d\u5206\u5f00\u8bb2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u7b26\u8868\u793a\u6574\u4e2a\u6d6e\u70b9\u6570\u7684\u6b63\u8d1f\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26 = 0\uff0c\u8868\u793a\u6b63\u6570\n\u6570\u7b26 = 1\uff0c\u8868\u793a\u8d1f\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u8868\u793a\u6307\u6570\u3002\u5b83\u7684\u4f5c\u7528\u4e0d\u662f\u8868\u793a\u6570\u672c\u8eab\u6709\u591a\u5c11\u6709\u6548\u6570\u5b57\uff0c\u800c\u662f\u8868\u793a\u5c0f\u6570\u70b9\u79fb\u52a8\u7684\u4f4d\u7f6e\u3002\u9636\u7801\u8d8a\u5927\uff0c\u6570\u503c\u8303\u56f4\u901a\u5e38\u8d8a\u5927\uff1b\u9636\u7801\u8d8a\u5c0f\uff0c\u6570\u503c\u8d8a\u63a5\u8fd1 0\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u6559\u6750\u91c7\u7528\u201c\u9636\u7b26 + \u9636\u7801\u6570\u503c\u201d\u7684\u8868\u793a\u65b9\u5f0f\uff0c\u90a3\u4e48\u9636\u7b26\u8868\u793a\u6307\u6570\u7684\u6b63\u8d1f\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7b26 = 0\uff0c\u8868\u793a\u9636\u7801\u4e3a\u6b63\n\u9636\u7b26 = 1\uff0c\u8868\u793a\u9636\u7801\u4e3a\u8d1f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u5728 IEEE 754 \u6807\u51c6\u6d6e\u70b9\u6570\u4e2d\uff0c\u4e00\u822c\u4e0d\u7528\u5355\u72ec\u7684\u9636\u7b26\uff0c\u800c\u662f\u7528\u79fb\u7801\uff0c\u4e5f\u53eb\u504f\u7f6e\u7801\uff0c\u6765\u8868\u793a\u9636\u7801\u3002\u4f8b\u5982\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u7684\u9636\u7801\u5b57\u6bb5\u6709 8 \u4f4d\uff0c\u504f\u7f6e\u503c\u662f 127\uff0c\u771f\u5b9e\u9636\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u771f\u5b9e\u9636\u7801 = \u9636\u7801\u5b57\u6bb5\u503c - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u8868\u793a\u6709\u6548\u6570\u5b57\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.01101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u91cc\u9762\u7684 <code>1.01101\u2082<\/code> \u662f\u5c3e\u6570\uff0c<code>2\u00b2<\/code> \u8d1f\u8d23\u628a\u5c0f\u6570\u70b9\u6574\u4f53\u79fb\u52a8\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u57fa\u6570\u5c31\u662f\u6307\u6570\u8fd0\u7b97\u7684\u5e95\u6570\u3002\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u7684\u57fa\u6570\u901a\u5e38\u662f <code>2<\/code>\uff0c\u6240\u4ee5\u6d6e\u70b9\u6570\u4e00\u822c\u5f62\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u00b1M \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u8003\u8bd5\u9898\u91cc\uff0c\u57fa\u6570\u901a\u5e38\u662f\u9690\u542b\u7684\uff0c\u4e0d\u4e00\u5b9a\u5355\u72ec\u5360\u673a\u5668\u4f4d\u3002\u6bd4\u5982 IEEE 754 \u7684\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0c\u673a\u5668\u5b57\u4e2d\u5b58\u6570\u7b26\u3001\u9636\u7801\u3001\u5c3e\u6570\u5b57\u6bb5\uff0c\u4f46\u57fa\u6570\u9ed8\u8ba4\u5c31\u662f 2\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u5c3e\u6570\u548c\u9636\u7801\u7684\u5206\u5de5\uff1a\u4e00\u4e2a\u7ba1\u7cbe\u5ea6\uff0c\u4e00\u4e2a\u7ba1\u8303\u56f4<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c3e\u6570\u51b3\u5b9a\u6709\u6548\u6570\u5b57\n\u9636\u7801\u51b3\u5b9a\u5c0f\u6570\u70b9\u4f4d\u7f6e\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\u5341\u8fdb\u5236\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3.14159 \u00d7 10\u00b3 = 3141.59\n3.14159 \u00d7 10\u207b\u00b3 = 0.00314159\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e24\u4e2a\u6570\u7684\u5c3e\u6570\u90fd\u662f <code>3.14159<\/code>\uff0c\u6240\u4ee5\u5b83\u4eec\u4fdd\u7559\u7684\u6709\u6548\u6570\u5b57\u6570\u91cf\u4e00\u6837\uff1b\u4f46\u662f\u9636\u7801\u4e0d\u540c\uff0c\u6240\u4ee5\u5c0f\u6570\u70b9\u4f4d\u7f6e\u4e0d\u540c\uff0c\u6570\u503c\u8303\u56f4\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u540c\u7406\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.10101\u2082 \u00d7 2\u2075\n1.10101\u2082 \u00d7 2\u207b\u2075\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8005\u5c3e\u6570\u76f8\u540c\uff0c\u7cbe\u5ea6\u76f8\u540c\uff0c\u4f46\u6570\u91cf\u7ea7\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8003\u7814\u9898\u91cc\u7ecf\u5e38\u8bf4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u4f4d\u6570\u5f71\u54cd\u8868\u793a\u8303\u56f4\n\u5c3e\u6570\u4f4d\u6570\u5f71\u54cd\u8868\u793a\u7cbe\u5ea6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u53e5\u8bdd\u975e\u5e38\u91cd\u8981\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7cbe\u5ea6\u4e0d\u662f\u7b80\u5355\u6307\u201c\u5c0f\u6570\u70b9\u540e\u6709\u51e0\u4f4d\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u6700\u5bb9\u6613\u8bef\u89e3\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u7684\u7cbe\u5ea6\u4e0d\u662f\u6307\u201c\u5c0f\u6570\u70b9\u540e\u9762\u80fd\u6709\u51e0\u4f4d\u201d\uff0c\u800c\u662f\u6307\u201c\u5c3e\u6570\u80fd\u8868\u793a\u591a\u5c11\u4f4d\u6709\u6548\u6570\u5b57\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u5b9a\u70b9\u5c0f\u6570\u6765\u8bf4\uff0c\u786e\u5b9e\u53ef\u4ee5\u8bf4\u5c0f\u6570\u70b9\u540e\u6709\u51e0\u4f4d\uff0c\u56e0\u4e3a\u5c0f\u6570\u70b9\u4f4d\u7f6e\u56fa\u5b9a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u6d6e\u70b9\u6570\u7684\u5c0f\u6570\u70b9\u4f4d\u7f6e\u662f\u6d6e\u52a8\u7684\uff0c\u7531\u9636\u7801\u63a7\u5236\u3002\u5c3e\u6570\u4e2d\u4fdd\u5b58\u7684\u662f\u6709\u6548\u6570\u5b57\uff0c\u4e0d\u662f\u56fa\u5b9a\u610f\u4e49\u4e0a\u7684\u201c\u5c0f\u6570\u70b9\u540e\u82e5\u5e72\u4f4d\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u5341\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.2345 \u00d7 10\u00b2 = 123.45\n1.2345 \u00d7 10\u207b\u00b2 = 0.012345\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5c3e\u6570\u53ea\u80fd\u4fdd\u5b58 5 \u4f4d\u6709\u6548\u6570\u5b57\uff0c\u90a3\u4e48\u5b83\u4eec\u90fd\u53ea\u6709 5 \u4f4d\u6709\u6548\u6570\u5b57\u7cbe\u5ea6\u3002\u4e0d\u80fd\u8bf4\u7b2c\u4e00\u4e2a\u6570\u201c\u5c0f\u6570\u70b9\u540e\u53ea\u6709 2 \u4f4d\u6240\u4ee5\u7cbe\u5ea6\u4f4e\u201d\uff0c\u4e5f\u4e0d\u80fd\u8bf4\u7b2c\u4e8c\u4e2a\u6570\u201c\u5c0f\u6570\u70b9\u540e\u6709 6 \u4f4d\u6240\u4ee5\u7cbe\u5ea6\u9ad8\u201d\u3002\u771f\u6b63\u51b3\u5b9a\u7cbe\u5ea6\u7684\u662f\u5c3e\u6570\u91cc\u7684\u6709\u6548\u6570\u5b57\u4f4d\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u4e5f\u662f\u4e00\u6837\u3002\u5982\u679c\u5c3e\u6570\u6709\u6548\u4f4d\u6570\u662f 24 \u4f4d\uff0c\u90a3\u4e48\u5b83\u5927\u7ea6\u80fd\u63d0\u4f9b 24 \u4f4d\u4e8c\u8fdb\u5236\u6709\u6548\u7cbe\u5ea6\uff0c\u6362\u7b97\u6210\u5341\u8fdb\u5236\u5927\u7ea6\u662f 7 \u4f4d\u6709\u6548\u6570\u5b57\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u66f4\u51c6\u786e\u7684\u8bf4\u6cd5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6d6e\u70b9\u6570\u7cbe\u5ea6 = \u5c3e\u6570\u80fd\u4fdd\u5b58\u7684\u6709\u6548\u4f4d\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u4e0d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6d6e\u70b9\u6570\u7cbe\u5ea6 = \u5c0f\u6570\u70b9\u540e\u6709\u51e0\u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\u5728 IEEE 754 \u4e2d\uff0c\u5c3e\u6570\u5b57\u6bb5\u770b\u8d77\u6765\u786e\u5b9e\u662f\u201c\u5c0f\u6570\u70b9\u540e\u7684\u90e8\u5206\u201d\uff0c\u4f8b\u5982\u89c4\u683c\u5316\u6570\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.f \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>f<\/code> \u662f\u5b58\u50a8\u7684 fraction \u5b57\u6bb5\uff0c\u4e5f\u5c31\u662f\u5c0f\u6570\u70b9\u540e\u7684\u5c3e\u6570\u5b57\u6bb5\u3002\u4f46\u6709\u6548\u7cbe\u5ea6\u4e0d\u53ea\u5305\u62ec <code>f<\/code>\uff0c\u8fd8\u5305\u62ec\u524d\u9762\u90a3\u4e2a\u9ed8\u8ba4\u7684\u9690\u85cf <code>1<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c3e\u6570\u5b57\u6bb5 = 23 \u4f4d\n\u9690\u85cf\u4f4d = 1 \u4f4d\n\u5b9e\u9645\u6709\u6548\u7cbe\u5ea6 = 24 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e5f\u662f\u201c\u9690\u85cf 1\u201d\u5e26\u6765\u7684\u597d\u5904\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4ec0\u4e48\u662f\u89c4\u683c\u5316\u6d6e\u70b9\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\u7684\u76ee\u7684\uff0c\u662f\u8ba9\u540c\u4e00\u4e2a\u6570\u53ea\u6709\u4e00\u79cd\u6807\u51c6\u8868\u793a\u5f62\u5f0f\uff0c\u5e76\u4e14\u8ba9\u5c3e\u6570\u5c3d\u91cf\u4fdd\u7559\u6709\u6548\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\u5341\u8fdb\u5236\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>123.45 = 12.345 \u00d7 10\u00b9\n123.45 = 1.2345 \u00d7 10\u00b2\n123.45 = 0.12345 \u00d7 10\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u540c\u4e00\u4e2a\u6570\u53ef\u4ee5\u6709\u5f88\u591a\u79cd\u8868\u793a\u3002\u5982\u679c\u4e0d\u89c4\u5b9a\u7edf\u4e00\u683c\u5f0f\uff0c\u673a\u5668\u8868\u793a\u4f1a\u6df7\u4e71\uff0c\u4e5f\u4f1a\u6d6a\u8d39\u6709\u6548\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u79d1\u5b66\u8ba1\u6570\u6cd5\u901a\u5e38\u89c4\u5b9a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u2264 \u5c3e\u6570 &lt; 10\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f <code>123.45<\/code> \u7684\u89c4\u683c\u5316\u8868\u793a\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.2345 \u00d7 10\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8fdb\u5236\u4e2d\uff0c\u89c4\u683c\u5316\u601d\u60f3\u7c7b\u4f3c\u3002\u975e\u96f6\u4e8c\u8fdb\u5236\u6570\u89c4\u683c\u5316\u540e\uff0c\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f <code>1<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e38\u89c1\u6709\u4e24\u79cd\u5199\u6cd5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e00\u79cd\u662f IEEE 754 \u5e38\u7528\u5199\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxxxx\u2082 \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u2264 M &lt; 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e8c\u79cd\u662f\u4e00\u4e9b\u8ba1\u7ec4\u6559\u6750\u8bb2\u673a\u5668\u6d6e\u70b9\u6570\u65f6\u5e38\u7528\u7684\u7eaf\u5c0f\u6570\u5c3e\u6570\u5199\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1xxxxx\u2082 \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1\/2 \u2264 |M| &lt; 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e24\u79cd\u5199\u6cd5\u672c\u8d28\u7b49\u4ef7\uff0c\u53ea\u662f\u5c0f\u6570\u70b9\u653e\u7684\u4f4d\u7f6e\u4e0d\u540c\uff0c\u9636\u7801\u4f1a\u76f8\u5e94\u5dee 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101\u2082 \u00d7 2\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u53ef\u4ee5\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1101\u2082 \u00d7 2\u2074\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4eec\u8868\u793a\u7684\u662f\u540c\u4e00\u4e2a\u6570\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u201c\u6700\u5c0f\u89c4\u683c\u5316\u6570\u201d\u662f\u4ec0\u4e48\u610f\u601d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u5c0f\u89c4\u683c\u5316\u6570\uff0c\u901a\u5e38\u6307\u201c\u7edd\u5bf9\u503c\u6700\u5c0f\u7684\u6b63\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u8ba9\u4e00\u4e2a\u6b63\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u5c3d\u53ef\u80fd\u5c0f\uff0c\u9700\u8981\u540c\u65f6\u6ee1\u8db3\u4e24\u4e2a\u6761\u4ef6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u53d6\u6700\u5c0f\u503c\n\u5c3e\u6570\u53d6\u89c4\u683c\u5316\u6761\u4ef6\u4e0b\u7684\u6700\u5c0f\u503c\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u91c7\u7528 IEEE 754 \u7684\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxxxx\u2082 \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\u89c4\u683c\u5316\u5c3e\u6570\u6700\u5c0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00000...\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u5c0f\u6b63\u89c4\u683c\u5316\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00000...\u2082 \u00d7 2^Emin\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>Emin<\/code> \u662f\u5141\u8bb8\u7684\u6700\u5c0f\u771f\u5b9e\u9636\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u91c7\u7528\u6559\u6750\u4e2d\u5e38\u89c1\u7684\u7eaf\u5c0f\u6570\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1xxxxx\u2082 \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\u89c4\u683c\u5316\u5c3e\u6570\u6700\u5c0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.10000...\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u5c0f\u6b63\u89c4\u683c\u5316\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.10000...\u2082 \u00d7 2^Emin\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u4e0d\u8981\u6b7b\u8bb0\u67d0\u4e00\u79cd\u5f62\u5f0f\uff0c\u8981\u5148\u770b\u9898\u76ee\u91c7\u7528\u7684\u662f\u54ea\u79cd\u5c3e\u6570\u7ea6\u5b9a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8003\u7814\u91cc\u5e38\u89c1\u5224\u65ad\u65b9\u5f0f\u662f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9898\u76ee\u8bf4\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u5c3e\u6570\u5f62\u5982 <code>1.xxx<\/code>\uff0c\u90a3\u6700\u5c0f\u5c3e\u6570\u662f <code>1.000...<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9898\u76ee\u8bf4\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u5c3e\u6570\u662f\u7eaf\u5c0f\u6570\u5f62\u5f0f\uff0c\u5f62\u5982 <code>0.1xxx<\/code>\uff0c\u90a3\u6700\u5c0f\u5c3e\u6570\u662f <code>0.100...<\/code>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3a\u4ec0\u4e48\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u53ef\u4ee5\u9690\u85cf\u6700\u9ad8\u4f4d\u7684 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f IEEE 754 \u91cc\u7684\u4e00\u4e2a\u5173\u952e\u8bbe\u8ba1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u975e\u96f6\u7684\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u6570\uff0c\u5b83\u7684\u5c3e\u6570\u4e00\u5b9a\u53ef\u4ee5\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxxxx\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u4e8c\u8fdb\u5236\u4e2d\u975e\u96f6\u6570\u7684\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f <code>1<\/code>\u3002\u89c4\u683c\u5316\u4e4b\u540e\uff0c\u6700\u9ad8\u6709\u6548\u4f4d\u88ab\u79fb\u52a8\u5230\u5c0f\u6570\u70b9\u5de6\u8fb9\uff0c\u6240\u4ee5\u4e00\u5b9a\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u53ef\u80fd\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.xxxx\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u4e0d\u53ef\u80fd\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2.xxxx\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u4e8c\u8fdb\u5236\u6bcf\u4e00\u4f4d\u53ea\u80fd\u662f 0 \u6216 1\uff0c\u89c4\u683c\u5316\u4ee5\u540e\u5c3e\u6570\u8303\u56f4\u56fa\u5b9a\u5728\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u2264 M &lt; 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u9ad8\u4f4d\u8fd9\u4e2a <code>1<\/code> \u5bf9\u6240\u6709\u975e\u96f6\u89c4\u683c\u5316\u6570\u6765\u8bf4\u90fd\u662f\u5fc5\u7136\u5b58\u5728\u7684\u3002\u65e2\u7136\u4e00\u5b9a\u662f <code>1<\/code>\uff0c\u673a\u5668\u5c31\u6ca1\u6709\u5fc5\u8981\u628a\u5b83\u5b58\u4e0b\u6765\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f IEEE 754 \u53ea\u5b58\u5c0f\u6570\u70b9\u540e\u7684\u90e8\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5b9e\u9645\u5c3e\u6570\uff1a1.f\n\u673a\u5668\u53ea\u5b58\uff1af\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u6ca1\u6709\u5b58\u50a8\u3001\u4f46\u9ed8\u8ba4\u5b58\u5728\u7684\u6700\u9ad8\u4f4d <code>1<\/code>\uff0c\u5c31\u53eb\u9690\u85cf\u4f4d\uff0c\u4e5f\u53eb\u9690\u542b\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u67d0\u4e2a\u89c4\u683c\u5316\u5c3e\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101011\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u673a\u5668\u4e2d\u5c3e\u6570\u5b57\u6bb5\u53ea\u5b58\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>101011\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bfb\u53d6\u65f6\uff0c\u786c\u4ef6\u81ea\u52a8\u5728\u524d\u9762\u8865\u4e0a\u9690\u85cf\u7684 <code>1<\/code>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101011\u2082\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u9690\u85cf 1 \u4e3a\u4ec0\u4e48\u80fd\u201c\u591a\u8868\u793a\u4e00\u4f4d\u6709\u6548\u503c\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\u5c3e\u6570\u5b57\u6bb5\u6709 23 \u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u4e0d\u9690\u85cf\u6700\u9ad8\u4f4d\uff0c\u90a3\u4e48 23 \u4f4d\u5b57\u6bb5\u8981\u5b8c\u6574\u4fdd\u5b58\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxxxxxxxxxxxxxxxxxxxxx\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u6700\u9ad8\u4f4d\u7684 <code>1<\/code> \u4e5f\u8981\u5360\u4e00\u4e2a\u5b58\u50a8\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u7531\u4e8e\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u6570\u6700\u9ad8\u4f4d\u5fc5\u5b9a\u662f <code>1<\/code>\uff0c\u6240\u4ee5\u53ef\u4ee5\u4e0d\u5b58\u5b83\uff0c\u628a\u8fd9 1 \u4f4d\u7a7a\u95f4\u7701\u4e0b\u6765\uff0c\u7528\u6765\u4fdd\u5b58\u540e\u9762\u66f4\u591a\u7684\u6709\u6548\u5c3e\u6570\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5b58\u50a8\u5c3e\u6570\u5b57\u6bb5\uff1a23 \u4f4d\n\u5b9e\u9645\u6709\u6548\u5c3e\u6570\uff1a1 \u4f4d\u9690\u85cf\u4f4d + 23 \u4f4d\u663e\u5f0f\u5c3e\u6570\n\u5b9e\u9645\u7cbe\u5ea6\uff1a24 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u201c\u4e3a\u4e86\u4f7f\u5c3e\u6570\u591a\u8868\u793a\u4e00\u4f4d\u6709\u6548\u503c\uff0c\u6240\u4ee5\u5c06\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u6700\u9ad8\u4f4d\u7684 1 \u9690\u85cf\u201d\u7684\u542b\u4e49\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4e0d\u662f\u8bf4\u6570\u503c\u51ed\u7a7a\u53d8\u591a\uff0c\u800c\u662f\u8bf4\u540c\u6837\u7684\u5b58\u50a8\u4f4d\u6570\u4e0b\uff0c\u80fd\u591a\u4fdd\u7559\u4e00\u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u4f4d\uff0c\u4ece\u800c\u63d0\u9ad8\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5 IEEE 754 \u5355\u7cbe\u5ea6\u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26\uff1a1 \u4f4d\n\u9636\u7801\uff1a8 \u4f4d\n\u5c3e\u6570\u5b57\u6bb5\uff1a23 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u89c4\u683c\u5316\u6570\u7684\u5b9e\u9645\u5c3e\u6570\u7cbe\u5ea6\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>24 \u4f4d = \u9690\u85cf\u7684 1 \u4f4d + \u663e\u5f0f\u5b58\u50a8\u7684 23 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48\u7ecf\u5e38\u8bf4 IEEE 754 \u5355\u7cbe\u5ea6\u6709\u6548\u7cbe\u5ea6\u7ea6\u4e3a 24 \u4f4d\u4e8c\u8fdb\u5236\u4f4d\uff0c\u5927\u7ea6\u7b49\u4ef7\u4e8e 7 \u4f4d\u5341\u8fdb\u5236\u6709\u6548\u6570\u5b57\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u9690\u85cf 1 \u53ea\u9002\u7528\u4e8e\u89c4\u683c\u5316\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e00\u70b9\u4e5f\u5f88\u5bb9\u6613\u8003\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9690\u85cf 1 \u7684\u524d\u63d0\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8be5\u6570\u662f\u975e\u96f6\u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u53ea\u6709\u89c4\u683c\u5316\u6570\u624d\u80fd\u4fdd\u8bc1\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f <code>1<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u975e\u89c4\u683c\u5316\u6570\uff0c\u4e5f\u53eb denormal \u6216 subnormal number\uff0c\u5c3e\u6570\u901a\u5e38\u4e0d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u65f6\u6700\u9ad8\u4f4d\u4e0d\u80fd\u9ed8\u8ba4\u8865 1\uff0c\u5426\u5219\u6570\u503c\u5c31\u9519\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 IEEE 754 \u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u89c4\u683c\u5316\u6570\uff1a\u5c3e\u6570\u4e3a 1.f\uff0c\u6709\u9690\u85cf 1\n\u975e\u89c4\u683c\u5316\u6570\uff1a\u5c3e\u6570\u4e3a 0.f\uff0c\u6ca1\u6709\u9690\u85cf 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u96f6\u3001\u65e0\u7a77\u5927\u3001NaN \u8fd9\u4e9b\u7279\u6b8a\u503c\u4e5f\u4e0d\u4f7f\u7528\u666e\u901a\u89c4\u683c\u5316\u6570\u7684\u9690\u85cf 1 \u89c4\u5219\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">408 \u505a\u9898\u65f6\u7684\u5feb\u901f\u5224\u65ad<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u505a\u6d6e\u70b9\u6570\u8868\u793a\u7c7b\u9898\u76ee\u65f6\uff0c\u5148\u4e0d\u8981\u6025\u7740\u7b97\uff0c\u5148\u5224\u65ad\u9898\u76ee\u4f7f\u7528\u7684\u662f\u54ea\u5957\u683c\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9898\u76ee\u662f\u4e00\u822c\u6559\u6750\u683c\u5f0f\uff0c\u53ef\u80fd\u4f1a\u51fa\u73b0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26 | \u9636\u7b26 | \u9636\u7801 | \u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b64\u65f6\u8981\u770b\u5c3e\u6570\u662f\u539f\u7801\u3001\u8865\u7801\u8fd8\u662f\u53cd\u7801\uff0c\u89c4\u683c\u5316\u6761\u4ef6\u4e5f\u8981\u6309\u6559\u6750\u89c4\u5b9a\u5224\u65ad\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9898\u76ee\u660e\u786e\u662f IEEE 754\uff0c\u5219\u9ed8\u8ba4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5355\u7cbe\u5ea6\uff1a1 \u4f4d\u6570\u7b26 + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n\u53cc\u7cbe\u5ea6\uff1a1 \u4f4d\u6570\u7b26 + 11 \u4f4d\u9636\u7801 + 52 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e76\u4e14\u89c4\u683c\u5316\u6570\u7684\u771f\u5b9e\u5f62\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^S \u00d7 1.f \u00d7 2^(E - bias)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u5355\u7cbe\u5ea6 bias \u662f 127\uff0c\u53cc\u7cbe\u5ea6 bias \u662f 1023\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u7684\u6838\u5fc3\u89c4\u5f8b\u53ef\u4ee5\u8bb0\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26\u51b3\u5b9a\u6b63\u8d1f\n\u9636\u7801\u51b3\u5b9a\u8303\u56f4\n\u5c3e\u6570\u51b3\u5b9a\u7cbe\u5ea6\n\u57fa\u6570\u901a\u5e38\u9ed8\u8ba4\u662f 2\n\u89c4\u683c\u5316\u4fdd\u8bc1\u6700\u9ad8\u6709\u6548\u4f4d\u56fa\u5b9a\n\u9690\u85cf 1 \u7528\u56fa\u5b9a\u7684\u6700\u9ad8\u4f4d\u6362\u6765\u591a 1 \u4f4d\u6709\u6548\u7cbe\u5ea6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u91cd\u8981\u7684\u662f\u4e0d\u8981\u628a\u201c\u5c3e\u6570\u5b57\u6bb5\u4f4d\u6570\u201d\u76f4\u63a5\u7b49\u540c\u4e8e\u201c\u5b9e\u9645\u7cbe\u5ea6\u201d\u3002\u5728 IEEE 754 \u89c4\u683c\u5316\u6570\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5b9e\u9645\u6709\u6548\u7cbe\u5ea6 = \u5c3e\u6570\u5b57\u6bb5\u4f4d\u6570 + 1 \u4e2a\u9690\u85cf\u4f4d\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u63d0\u5230\u4e8c\u8fdb\u5236\u4e2d\u975e\u96f6\u6570\u7684\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f\u4e00\uff0c\u90a3\u4e48\u5982\u679c\u6b64\u65f6\u8fd9\u4e2a\u6570\u4e3a\u8d1f\u6570\u7684\u65f6\u5019\uff0c\u662f\u8fd9\u4e2a\u6570\u7684\u7b26\u53f7\u4e3a\u4e00\uff0c\u90a3\u4e48\u6b64\u65f6\u6700\u9ad8\u6709\u6548\u4f4d\u5e94\u8be5\u662f\u96f6\u554a\uff0c\u6240\u4ee5\u8bf4\u5173\u4e8e\u8fd9\u4e2aIEEE 754\u8fd8\u662f\u4e0d\u592a\u7406\u89e3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u8fd9\u91cc\u7684\u56f0\u60d1\u975e\u5e38\u5173\u952e\uff1a<strong>IEEE 754 \u91cc\u7684\u201c\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f 1\u201d\uff0c\u8bf4\u7684\u662f\u201c\u5c3e\u6570\u7edd\u5bf9\u503c\u90e8\u5206\u201d\u7684\u6700\u9ad8\u6709\u6548\u4f4d\uff0c\u4e0d\u662f\u6574\u4e2a\u673a\u5668\u7801\u7684\u6700\u9ad8\u4f4d\uff0c\u4e5f\u4e0d\u662f\u7b26\u53f7\u4f4d\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6362\u53e5\u8bdd\u8bf4\uff0cIEEE 754 \u4e0d\u662f\u7528\u8865\u7801\u65b9\u5f0f\u76f4\u63a5\u8868\u793a\u6574\u4e2a\u6d6e\u70b9\u6570\uff0c\u800c\u662f\u628a\u4e00\u4e2a\u6570\u62c6\u6210\u4e09\u5757\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S | \u9636\u7801 E | \u5c3e\u6570\u5b57\u6bb5 fraction\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u7684\u771f\u503c\u5f62\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^S \u00d7 1.f \u00d7 2^(E - bias)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684 <code>S<\/code> \u5355\u72ec\u51b3\u5b9a\u6b63\u8d1f\uff1b<code>1.f<\/code> \u8868\u793a\u8fd9\u4e2a\u6570\u7684\u6709\u6548\u6570\u5b57\u90e8\u5206\uff0c\u4e5f\u5c31\u662f\u5c3e\u6570\u7684\u7edd\u5bf9\u503c\u90e8\u5206\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5bf9\u4e8e\u8d1f\u6570\u6765\u8bf4\uff0c\u4e0d\u662f\u628a\u6574\u4e2a\u6570\u53d8\u6210\u8865\u7801\uff0c\u4e5f\u4e0d\u662f\u8ba9\u5c3e\u6570\u6700\u9ad8\u4f4d\u53d8\u6210 0\uff0c\u800c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\n\u5c3e\u6570\u4ecd\u7136\u6309\u6b63\u7684\u6709\u6548\u6570\u6765\u5b58\n\u9636\u7801\u4ecd\u7136\u8868\u793a\u6307\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u5341\u8fdb\u5236\u6570 <code>-6.5<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u4e0d\u770b\u6b63\u8d1f\uff0c\u53ea\u770b\u5b83\u7684\u7edd\u5bf9\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>6.5\u2081\u2080 = 110.1\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>110.1\u2082 = 1.101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-6.5 = (-1)^1 \u00d7 1.101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 IEEE 754 \u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\n\u771f\u5b9e\u9636\u7801 = 2\n\u5c3e\u6570\u6709\u6548\u5f62\u5f0f = 1.101\u2082\n\u673a\u5668\u4e2d\u53ea\u5b58\u5c0f\u6570\u70b9\u540e\u7684 101...\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u8d1f\u53f7\u7531\u6700\u524d\u9762\u7684\u7b26\u53f7\u4f4d\u8868\u793a\uff0c\u800c\u5c3e\u6570\u90e8\u5206\u4ecd\u7136\u662f <code>1.101\u2082<\/code>\uff0c\u4e0d\u662f\u8865\u7801\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u201c\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f 1\u201d\u5230\u5e95\u6307\u54ea\u4e00\u4f4d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u9762\u8bf4\u7684\u201c\u975e\u96f6\u4e8c\u8fdb\u5236\u6570\u7684\u6700\u9ad8\u6709\u6548\u4f4d\u4e00\u5b9a\u662f 1\u201d\uff0c\u4e25\u683c\u6765\u8bf4\u662f\u6307\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u975e\u96f6\u6570\u7684\u7edd\u5bf9\u503c\u5199\u6210\u4e8c\u8fdb\u5236\u540e\uff0c\u6700\u9ad8\u6709\u6548\u6570\u5b57\u4e00\u5b9a\u662f 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+6.5 \u7684\u7edd\u5bf9\u503c\uff1a110.1\u2082\uff0c\u6700\u9ad8\u6709\u6548\u4f4d\u662f 1\n-6.5 \u7684\u7edd\u5bf9\u503c\uff1a110.1\u2082\uff0c\u6700\u9ad8\u6709\u6548\u4f4d\u4e5f\u662f 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8d1f\u6570\u7684\u7b26\u53f7\u4e0d\u53c2\u4e0e\u8fd9\u91cc\u7684\u201c\u6700\u9ad8\u6709\u6548\u4f4d\u201d\u5224\u65ad\u3002\u7b26\u53f7\u53ea\u662f\u544a\u8bc9\u673a\u5668\uff1a\u6700\u540e\u7ed3\u679c\u8981\u4e58\u4ee5 <code>-1<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 IEEE 754 \u89c4\u683c\u5316\u540e\u7684\u5c3e\u6570\u7edf\u4e00\u770b\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxxxx\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b63\u6570\u5982\u6b64\uff0c\u8d1f\u6570\u4e5f\u5982\u6b64\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u533a\u522b\u53ea\u5728\u7b26\u53f7\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+6.5 = (-1)^0 \u00d7 1.101\u2082 \u00d7 2\u00b2\n-6.5 = (-1)^1 \u00d7 1.101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u7684\u6709\u6548\u6570\u5b57\u90e8\u5206\u5b8c\u5168\u4e00\u6837\uff0c\u53ea\u6709 <code>S<\/code> \u4e0d\u540c\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">IEEE 754 \u4e0d\u662f\u8865\u7801\u6d6e\u70b9\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u7684\u7591\u60d1\u5f88\u53ef\u80fd\u6765\u81ea\u6574\u6570\u8865\u7801\u7684\u601d\u7ef4\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6574\u6570\u8865\u7801\u4e2d\uff0c\u6700\u9ad8\u4f4d\u901a\u5e38\u65e2\u53c2\u4e0e\u6570\u503c\u7f16\u7801\uff0c\u4e5f\u8868\u793a\u7b26\u53f7\u503e\u5411\u3002\u4f8b\u5982 8 \u4f4d\u8865\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01111111 \u8868\u793a +127\n10000000 \u8868\u793a -128\n11111111 \u8868\u793a -1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6574\u6570\u8865\u7801\u91cc\uff0c\u770b\u5230\u6700\u9ad8\u4f4d\u662f <code>1<\/code>\uff0c\u901a\u5e38\u8bf4\u660e\u8fd9\u4e2a\u6574\u6570\u662f\u8d1f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f IEEE 754 \u6d6e\u70b9\u6570\u4e0d\u662f\u8fd9\u6837\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u6d6e\u70b9\u6570\u66f4\u50cf\u201c\u7b26\u53f7-\u6570\u503c\u201d\u7ed3\u6784\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d\uff1a\u5355\u72ec\u8868\u793a\u6b63\u8d1f\n\u9636\u7801\uff1a\u8868\u793a\u6307\u6570\n\u5c3e\u6570\uff1a\u8868\u793a\u6709\u6548\u6570\u5b57\u7684\u7edd\u5bf9\u503c\u90e8\u5206\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4e0d\u662f\u628a\u6574\u4e2a\u6d6e\u70b9\u6570\u5f53\u6210\u4e00\u4e2a\u8865\u7801\u6574\u6570\u6765\u89e3\u91ca\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e0d\u80fd\u8fd9\u6837\u60f3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8d1f\u6570 \u2192 \u6574\u4e2a\u673a\u5668\u7801\u6309\u8865\u7801\u8868\u793a \u2192 \u5c3e\u6570\u4e5f\u8981\u6309\u8865\u7801\u7406\u89e3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6761\u601d\u8def\u662f\u9519\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e94\u8be5\u8fd9\u6837\u60f3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8d1f\u6570 \u2192 \u7b26\u53f7\u4f4d S = 1\n\u6570\u503c\u5927\u5c0f \u2192 \u7531\u9636\u7801\u548c\u5c3e\u6570\u8868\u793a\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3e\u4e00\u4e2a IEEE 754 \u5355\u7cbe\u5ea6\u7684\u7ed3\u6784\u4f8b\u5b50<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d | 8 \u4f4d\u9636\u7801 | 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u8868\u793a <code>-6.5<\/code>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-6.5 = (-1)^1 \u00d7 1.101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b26\u53f7\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u5b9e\u9636\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\u9636\u7801\u5b57\u6bb5\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2 + 127 = 129 = 10000001\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9690\u85cf\u6700\u9ad8\u4f4d <code>1<\/code>\uff0c\u53ea\u5b58\u5c0f\u6570\u70b9\u540e\u7684\u90e8\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10100000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6574\u4f53\u7ed3\u6784\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 | 10000001 | 10100000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u6700\u5de6\u8fb9\u7684 <code>1<\/code> \u662f\u7b26\u53f7\u4f4d\uff0c\u8868\u793a\u8d1f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u4e2d\u9690\u85cf\u7684\u90a3\u4e2a <code>1<\/code> \u4e0d\u5728\u673a\u5668\u5b57\u4e2d\u663e\u5f0f\u51fa\u73b0\uff0c\u5b83\u662f\u673a\u5668\u89e3\u91ca\u5c3e\u6570\u5b57\u6bb5\u65f6\u81ea\u52a8\u8865\u51fa\u6765\u7684\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u673a\u5668\u5b58\uff1a10100000000000000000000\n\u5b9e\u9645\u5c3e\u6570\uff1a1.10100000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8fd9\u91cc\u6709\u4e24\u4e2a\u5b8c\u5168\u4e0d\u540c\u7684\u201c1\u201d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6700\u5de6\u8fb9\u7684 1\uff1a\u7b26\u53f7\u4f4d\uff0c\u8868\u793a\u8d1f\u53f7\n\u9690\u85cf\u7684 1\uff1a\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d\uff0c\u8868\u793a\u89c4\u683c\u5316\u6709\u6548\u6570\u7684\u6574\u6570\u90e8\u5206\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4eec\u4e0d\u662f\u540c\u4e00\u7c7b\u4e1c\u897f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3a\u4ec0\u4e48\u8d1f\u6570\u7684\u5c3e\u6570\u6700\u9ad8\u4f4d\u4ecd\u7136\u662f 1<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a IEEE 754 \u7684\u5c3e\u6570\u8868\u793a\u7684\u662f\u201c\u6570\u503c\u5927\u5c0f\u201d\u7684\u6709\u6548\u6570\u5b57\uff0c\u800c\u4e0d\u662f\u5e26\u7b26\u53f7\u7684\u8865\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+0.75 = +0.11\u2082\n-0.75 = -0.11\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u628a\u7edd\u5bf9\u503c\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.75 = 0.11\u2082 = 1.1\u2082 \u00d7 2\u207b\u00b9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+0.75 = (-1)^0 \u00d7 1.1\u2082 \u00d7 2\u207b\u00b9\n-0.75 = (-1)^1 \u00d7 1.1\u2082 \u00d7 2\u207b\u00b9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u4f1a\u53d1\u73b0\uff0c\u6b63\u8d1f\u4e24\u4e2a\u6570\u7684\u5c3e\u6570\u90fd\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.1\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ea\u662f\u7b26\u53f7\u4f4d\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u548c\u6574\u6570\u8865\u7801\u5b8c\u5168\u4e0d\u540c\u3002\u6574\u6570\u8865\u7801\u4e2d\uff0c<code>+x<\/code> \u548c <code>-x<\/code> \u7684\u7f16\u7801\u901a\u5e38\u5dee\u522b\u5f88\u5927\uff1b\u800c IEEE 754 \u6d6e\u70b9\u6570\u4e2d\uff0c<code>+x<\/code> \u548c <code>-x<\/code> \u7684\u9636\u7801\u3001\u5c3e\u6570\u5b57\u6bb5\u901a\u5e38\u76f8\u540c\uff0c\u53ea\u662f\u7b26\u53f7\u4f4d\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+6.5\uff1a0 | 10000001 | 10100000000000000000000\n-6.5\uff1a1 | 10000001 | 10100000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9664\u4e86\u7b26\u53f7\u4f4d\uff0c\u540e\u9762\u5b8c\u5168\u4e00\u6837\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u201c\u6700\u9ad8\u6709\u6548\u4f4d\u5e94\u8be5\u662f 0\u201d\u8fd9\u4e2a\u60f3\u6cd5\u9519\u5728\u54ea\u91cc<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u53e5\u8bdd\u9700\u8981\u62c6\u5f00\u770b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u4f60\u8bf4\u7684\u662f\u201c\u8d1f\u6570\u7684\u673a\u5668\u7801\u6700\u9ad8\u4f4d\u201d\uff0c\u90a3\u5728 IEEE 754 \u4e2d\uff0c\u5b83\u786e\u5b9e\u662f <code>1<\/code>\uff0c\u56e0\u4e3a\u6700\u9ad8\u4f4d\u5c31\u662f\u7b26\u53f7\u4f4d\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8d1f\u6570\u7684 IEEE 754 \u6700\u9ad8\u673a\u5668\u4f4d = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u4f60\u8bf4\u7684\u662f\u201c\u5c3e\u6570\u7684\u6700\u9ad8\u6709\u6548\u4f4d\u201d\uff0c\u90a3\u5bf9\u4e8e\u89c4\u683c\u5316\u6570\uff0c\u5b83\u4e00\u5b9a\u662f <code>1<\/code>\uff0c\u4e0d\u8bba\u6b63\u8d1f\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u89c4\u683c\u5316\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u4f60\u8bf4\u7684\u662f\u201c\u8865\u7801\u8d1f\u6570\u7684\u6570\u503c\u90e8\u5206\u201d\uff0c\u90a3\u8fd9\u5df2\u7ecf\u4e0d\u662f IEEE 754 \u7684\u7406\u89e3\u65b9\u5f0f\u4e86\u3002IEEE 754 \u6d6e\u70b9\u6570\u4e0d\u662f\u6574\u4f53\u8865\u7801\uff0c\u4e5f\u4e0d\u662f\u5c3e\u6570\u8865\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8fd9\u4e09\u4e2a\u6982\u5ff5\u4e0d\u80fd\u6df7\u5728\u4e00\u8d77\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u673a\u5668\u5b57\u6700\u9ad8\u4f4d\uff1aIEEE 754 \u4e2d\u662f\u7b26\u53f7\u4f4d\n\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d\uff1a\u89c4\u683c\u5316\u540e\u4e00\u5b9a\u662f 1\n\u6574\u6570\u8865\u7801\u6700\u9ad8\u4f4d\uff1a\u7528\u4e8e\u5224\u65ad\u6574\u6570\u6b63\u8d1f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 IEEE 754 \u4e2d\uff0c\u9690\u85cf\u7684\u662f\u201c\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d\u7684 1\u201d\uff0c\u4e0d\u662f\u9690\u85cf\u7b26\u53f7\u4f4d\uff0c\u4e5f\u4e0d\u662f\u9690\u85cf\u6574\u4e2a\u673a\u5668\u7801\u7684\u6700\u9ad8\u4f4d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u548c\u4e00\u822c\u8ba1\u7ec4\u6559\u6750\u6d6e\u70b9\u683c\u5f0f\u7684\u533a\u522b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">408 \u590d\u4e60\u65f6\u8fd8\u8981\u6ce8\u610f\uff1a\u6559\u6750\u91cc\u8bb2\u6d6e\u70b9\u6570\u65f6\uff0c\u6709\u65f6\u5019\u4e0d\u662f\u76f4\u63a5\u8bb2 IEEE 754\uff0c\u800c\u662f\u8bb2\u4e00\u822c\u6d6e\u70b9\u6570\u683c\u5f0f\uff0c\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u7b26 | \u9636\u7b26 | \u9636\u7801 | \u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u4e9b\u6559\u6750\u8fd8\u4f1a\u89c4\u5b9a\u5c3e\u6570\u7528\u539f\u7801\u3001\u8865\u7801\u6216\u53cd\u7801\u8868\u793a\u3002\u8fd9\u65f6\u5019\u89c4\u683c\u5316\u5224\u65ad\u4f1a\u7a0d\u5fae\u590d\u6742\u4e00\u4e9b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u7684\u6838\u5fc3\u89c4\u5219\u975e\u5e38\u660e\u786e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d\u5355\u72ec\u8868\u793a\u6b63\u8d1f\uff1b\n\u9636\u7801\u7528\u79fb\u7801\u8868\u793a\uff1b\n\u5c3e\u6570\u7528\u539f\u7801\u601d\u60f3\u8868\u793a\u6709\u6548\u6570\u5b57\uff1b\n\u89c4\u683c\u5316\u6570\u9ed8\u8ba4\u5c3e\u6570\u6700\u9ad8\u4f4d\u4e3a 1\uff1b\n\u673a\u5668\u4e2d\u4e0d\u5b58\u8fd9\u4e2a\u6700\u9ad8\u4f4d 1\uff0c\u6240\u4ee5\u53eb\u9690\u85cf\u4f4d\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5728 IEEE 754 \u4e2d\uff0c\u4e0d\u80fd\u7528\u201c\u8865\u7801\u8d1f\u6570\u201d\u7684\u601d\u8def\u53bb\u89e3\u91ca\u5c3e\u6570\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u9002\u5408\u505a\u9898\u65f6\u8bb0\u4f4f\u7684\u7ed3\u8bba<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u6d6e\u70b9\u6570\u53ef\u4ee5\u76f4\u63a5\u8bb0\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6d6e\u70b9\u6570\u771f\u503c = (-1)^S \u00d7 1.f \u00d7 2^(\u9636\u7801\u5b57\u6bb5\u503c - \u504f\u7f6e\u503c)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u89c4\u683c\u5316\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S = 0\uff0c\u8868\u793a\u6b63\u6570\nS = 1\uff0c\u8868\u793a\u8d1f\u6570\n\n1.f \u4e2d\u7684 1 \u662f\u9690\u85cf\u4f4d\nf \u662f\u673a\u5668\u4e2d\u771f\u6b63\u5b58\u50a8\u7684\u5c3e\u6570\u5b57\u6bb5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+N \u548c -N \u7684 IEEE 754 \u7f16\u7801\u901a\u5e38\u53ea\u6709\u7b26\u53f7\u4f4d\u4e0d\u540c\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+6.5\uff1a0 | 10000001 | 10100000000000000000000\n-6.5\uff1a1 | 10000001 | 10100000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u5173\u952e\u7684\u4e00\u53e5\u8bdd\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>IEEE 754 \u4e2d\uff0c\u8d1f\u53f7\u7531\u7b26\u53f7\u4f4d\u5355\u72ec\u8868\u793a\uff1b\u5c3e\u6570\u8868\u793a\u7edd\u5bf9\u503c\u7684\u6709\u6548\u6570\u5b57\uff0c\u6240\u4ee5\u89c4\u683c\u5316\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d\u4ecd\u7136\u662f 1\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u65e2\u7136\u6d6e\u70b9\u6570\u7c7b\u578b\u4e2d\uff0cint\u548cfloat double\u548clong\u90fd\u662f\u957f\u5ea6\u4e00\u6837\u7684\uff0c\u90a3\u4e48\u5b83\u4eec\u4fe9\u7684\u533a\u522b\u662f\u4ec0\u4e48\uff1f\u4ee5\u53ca\u6d6e\u70b9\u5143\u7d20\u7c7b\u578b\u53ca\u8f6c\u5316\u4e2d\uff0c\u8c01\u5728\u8f6c\u5316\u7387\u8fc5\u901f\u66f4\u9ad8\uff0c\u5e94\u5728\u8fdb\u884c\u6bd4\u8f83\u7684\u65f6\u5019\uff0c\u5e94\u8be5\u662f\u671d\u90a3\u91cc\u8fdb\u884c\u8f6c\u5316\uff0c\u6211\u8fd8\u662f\u4e0d\u592a\u7406\u89e3\u6d6e\u70b9\u6570\u4e2d\u7684\u4e0a\u610f\u548c\u4e0b\u610f\uff0c\u8fd9\u79cd\u60c5\u51b5\u5c31\u662f\u8bf4\u8fd9\u4e2a0.1xx\u6216\u800510.0xx\u5230\u5e95\u662f\u600e\u4e48\u5f04\u51fa\u6765\u7684\uff1f<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u8fd9\u91cc\u5176\u5b9e\u628a\u4e09\u4e2a\u5bb9\u6613\u6df7\u5728\u4e00\u8d77\u7684\u70b9\u653e\u5230\u4e86\u4e00\u8d77\uff1a<strong>\u7c7b\u578b\u957f\u5ea6\u76f8\u540c\u4e0d\u4ee3\u8868\u8868\u793a\u65b9\u6cd5\u76f8\u540c\uff1b\u6df7\u5408\u8fd0\u7b97\u65f6\u4e0d\u662f\u770b\u8c01\u201c\u5feb\u201d\uff0c\u800c\u662f\u770b\u7c7b\u578b\u8f6c\u6362\u7b49\u7ea7\uff1b\u6d6e\u70b9\u6570\u7684\u4e0a\u6ea2\u3001\u4e0b\u6ea2\u548c\u89c4\u683c\u5316\u5f62\u5f0f\uff0c\u90fd\u662f\u7531\u9636\u7801\u8303\u56f4\u548c\u5c3e\u6570\u89c4\u683c\u51b3\u5b9a\u7684\u3002<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e00\u3001int\u3001float\u3001double\u3001long \u4f4d\u6570\u4e00\u6837\uff0c\u4e3a\u4ec0\u4e48\u8fd8\u4e0d\u4e00\u6837\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u7ea0\u6b63\u4e00\u4e2a\u524d\u63d0\uff1a<code>int<\/code>\u3001<code>float<\/code>\u3001<code>double<\/code>\u3001<code>long<\/code> \u4e0d\u4e00\u5b9a\u957f\u5ea6\u90fd\u4e00\u6837\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 408 \u6216\u8ba1\u7ec4\u9898\u76ee\u4e2d\uff0c\u5e38\u89c1\u9ed8\u8ba4\u7406\u89e3\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int    \u901a\u5e38 32 \u4f4d\nfloat  \u901a\u5e38 32 \u4f4d\ndouble \u901a\u5e38 64 \u4f4d\nlong   \u4e0d\u540c\u73af\u5883\u53ef\u80fd\u662f 32 \u4f4d\u6216 64 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 C \u8bed\u8a00\u6807\u51c6\u91cc\uff0c\u5e76\u6ca1\u6709\u5f3a\u5236\u89c4\u5b9a <code>int<\/code> \u4e00\u5b9a 32 \u4f4d\u3001<code>long<\/code> \u4e00\u5b9a 64 \u4f4d\u3002\u8003\u8bd5\u9898\u5982\u679c\u4e25\u683c\u8003\uff0c\u4e00\u822c\u4f1a\u7ed9\u51fa\u673a\u5668\u5b57\u957f\u6216\u7c7b\u578b\u957f\u5ea6\u3002\u6ca1\u6709\u7ed9\u65f6\uff0c\u5f88\u591a\u9898\u9ed8\u8ba4\u6309\u5e38\u89c1\u5e73\u53f0\u7406\u89e3\uff1a<code>int<\/code> \u548c <code>float<\/code> \u90fd\u662f 32 \u4f4d\uff0c<code>double<\/code> \u662f 64 \u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u91cd\u70b9\u662f\uff1a<strong>\u957f\u5ea6\u76f8\u540c\uff0c\u4e0d\u4ee3\u8868\u542b\u4e49\u76f8\u540c\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982 <code>int<\/code> \u548c <code>float<\/code> \u90fd\u53ef\u80fd\u662f 32 \u4f4d\uff0c\u4f46\u5b83\u4eec\u7684 32 \u4f4d\u5206\u914d\u65b9\u5f0f\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>int<\/code> \u901a\u5e38\u6309\u8865\u7801\u8868\u793a\u6574\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>32 \u4f4d int\uff1a\n1 \u4f4d\u7b26\u53f7\u503e\u5411 + 31 \u4f4d\u6570\u503c\u6743\u91cd\n\u8868\u793a\u8303\u56f4\u7ea6\u4e3a -2\u00b3\u00b9 \u5230 2\u00b3\u00b9 - 1\n\u6574\u6570\u8303\u56f4\u5185\u9010\u4e2a\u8fde\u7eed\u3001\u7cbe\u786e\u8868\u793a\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>float<\/code> \u6309 IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>32 \u4f4d float\uff1a\n1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5\n\u5b9e\u9645\u6709\u6548\u7cbe\u5ea6\u7ea6\u4e3a 24 \u4f4d\u4e8c\u8fdb\u5236\u6709\u6548\u4f4d\n\u8868\u793a\u8303\u56f4\u5f88\u5927\uff0c\u4f46\u4e0d\u662f\u6240\u6709\u6574\u6570\u548c\u5c0f\u6570\u90fd\u80fd\u7cbe\u786e\u8868\u793a\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u540c\u6837\u662f 32 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int   \u8303\u56f4\u8f83\u5c0f\uff0c\u4f46\u8303\u56f4\u5185\u6574\u6570\u901a\u5e38\u7cbe\u786e\u3001\u8fde\u7eed\nfloat \u8303\u56f4\u5f88\u5927\uff0c\u4f46\u7cbe\u5ea6\u6709\u9650\uff0c\u5f88\u591a\u6570\u53ea\u80fd\u8fd1\u4f3c\u8868\u793a\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u6700\u6838\u5fc3\u533a\u522b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int \u53ef\u4ee5\u7cbe\u786e\u8868\u793a 16777217\nfloat \u4e0d\u80fd\u7cbe\u786e\u8868\u793a 16777217\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u5355\u7cbe\u5ea6 <code>float<\/code> \u7684\u6709\u6548\u7cbe\u5ea6\u53ea\u6709 24 \u4f4d\u4e8c\u8fdb\u5236\u6709\u6548\u4f4d\u3002\u8d85\u8fc7 <code>2\u00b2\u2074<\/code> \u9644\u8fd1\u4ee5\u540e\uff0c\u5e76\u4e0d\u662f\u6bcf\u4e00\u4e2a\u6574\u6570\u90fd\u80fd\u88ab <code>float<\/code> \u7cbe\u786e\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e0d\u80fd\u8bf4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>32 \u4f4d int \u548c 32 \u4f4d float \u90fd\u662f 32 \u4f4d\uff0c\u6240\u4ee5\u80fd\u529b\u4e00\u6837\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e94\u8be5\u8bf4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f4d\u6570\u4e00\u6837\uff0c\u4f46\u7f16\u7801\u65b9\u5f0f\u4e0d\u540c\uff0c\u8868\u793a\u8303\u56f4\u3001\u7cbe\u5ea6\u3001\u7528\u9014\u90fd\u4e0d\u540c\u3002\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e8c\u3001float \u548c double \u7684\u533a\u522b\u662f\u4ec0\u4e48\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><code>float<\/code> \u662f\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0c<code>double<\/code> \u662f\u53cc\u7cbe\u5ea6\u6d6e\u70b9\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e38\u89c1 IEEE 754 \u683c\u5f0f\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7c7b\u578b<\/th><th>\u603b\u4f4d\u6570<\/th><th>\u7b26\u53f7\u4f4d<\/th><th>\u9636\u7801\u4f4d<\/th><th>\u5c3e\u6570\u5b57\u6bb5\u4f4d<\/th><th>\u5b9e\u9645\u6709\u6548\u7cbe\u5ea6<\/th><\/tr><\/thead><tbody><tr><td>float<\/td><td>32 \u4f4d<\/td><td>1 \u4f4d<\/td><td>8 \u4f4d<\/td><td>23 \u4f4d<\/td><td>24 \u4f4d<\/td><\/tr><tr><td>double<\/td><td>64 \u4f4d<\/td><td>1 \u4f4d<\/td><td>11 \u4f4d<\/td><td>52 \u4f4d<\/td><td>53 \u4f4d<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684\u201c\u5b9e\u9645\u6709\u6548\u7cbe\u5ea6\u201d\u6bd4\u5c3e\u6570\u5b57\u6bb5\u591a 1 \u4f4d\uff0c\u662f\u56e0\u4e3a\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u6709\u9690\u85cf\u4f4d <code>1<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float  \u8303\u56f4\u8f83\u5c0f\uff0c\u7cbe\u5ea6\u8f83\u4f4e\ndouble \u8303\u56f4\u66f4\u5927\uff0c\u7cbe\u5ea6\u66f4\u9ad8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u505a\u9898\u4e2d\u53ef\u4ee5\u76f4\u63a5\u8bb0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float \u7ea6\u6709 7 \u4f4d\u5341\u8fdb\u5236\u6709\u6548\u6570\u5b57\ndouble \u7ea6\u6709 15~16 \u4f4d\u5341\u8fdb\u5236\u6709\u6548\u6570\u5b57\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ce8\u610f\uff0c\u8fd9\u91cc\u7684\u201c7 \u4f4d\u201d\u201c15~16 \u4f4d\u201d\u8bf4\u7684\u662f<strong>\u6709\u6548\u6570\u5b57\u4f4d\u6570<\/strong>\uff0c\u4e0d\u662f\u5c0f\u6570\u70b9\u540e\u51e0\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1234567.0\n0.000001234567\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8005\u5c0f\u6570\u70b9\u4f4d\u7f6e\u4e0d\u540c\uff0c\u4f46\u5982\u679c\u90fd\u4fdd\u7559 7 \u4f4d\u6709\u6548\u6570\u5b57\uff0c\u7cbe\u5ea6\u610f\u4e49\u662f\u7c7b\u4f3c\u7684\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u3001long \u548c float \/ double \u7684\u533a\u522b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><code>long<\/code> \u662f\u6574\u6570\u7c7b\u578b\uff0c\u4e0d\u662f\u6d6e\u70b9\u7c7b\u578b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u67d0\u4e2a\u5e73\u53f0\u4e0a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>long \u662f 64 \u4f4d\ndouble \u4e5f\u662f 64 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4eec\u4e5f\u5b8c\u5168\u4e0d\u662f\u4e00\u56de\u4e8b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">64 \u4f4d <code>long<\/code> \u901a\u5e38\u8868\u793a\u6574\u6570\uff0c\u8303\u56f4\u5927\u7ea6\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-2\u2076\u00b3 \u5230 2\u2076\u00b3 - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u5728\u8fd9\u4e2a\u6574\u6570\u8303\u56f4\u5185\u662f\u9010\u4e2a\u7cbe\u786e\u8868\u793a\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">64 \u4f4d <code>double<\/code> \u8868\u793a\u6d6e\u70b9\u6570\uff0c\u683c\u5f0f\u5927\u81f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 11 \u4f4d\u9636\u7801 + 52 \u4f4d\u5c3e\u6570\u5b57\u6bb5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>double<\/code> \u7684\u8303\u56f4\u8fdc\u8fdc\u5927\u4e8e 64 \u4f4d <code>long<\/code>\uff0c\u53ef\u4ee5\u8868\u793a\u5230\u7ea6 <code>10\u00b3\u2070\u2078<\/code> \u91cf\u7ea7\uff0c\u4f46\u5b83\u4e0d\u80fd\u7cbe\u786e\u8868\u793a\u6240\u6709 64 \u4f4d\u6574\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>double<\/code> \u80fd\u8fde\u7eed\u7cbe\u786e\u8868\u793a\u7684\u6574\u6570\u5927\u7ea6\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2\u2075\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8d85\u8fc7 <code>2\u2075\u00b3<\/code> \u540e\uff0c\u5f88\u591a\u76f8\u90bb\u6574\u6570\u5df2\u7ecf\u65e0\u6cd5\u533a\u5206\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>long\uff1a\u6574\u6570\u7cbe\u786e\uff0c\u8303\u56f4\u76f8\u5bf9\u6709\u9650\ndouble\uff1a\u8303\u56f4\u6781\u5927\uff0c\u4f46\u7cbe\u5ea6\u6709\u9650\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48\u7a0b\u5e8f\u91cc\u4e0d\u80fd\u968f\u4fbf\u628a\u5f88\u5927\u7684\u6574\u6570\u8f6c\u6210 <code>double<\/code> \u540e\u518d\u6bd4\u8f83\uff0c\u56e0\u4e3a\u53ef\u80fd\u4e22\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u56db\u3001\u6df7\u5408\u8fd0\u7b97\u548c\u6bd4\u8f83\u65f6\uff0c\u5e94\u8be5\u671d\u8c01\u8f6c\u6362\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u8bf4\u7684\u201c\u8c01\u8f6c\u5316\u7387\u66f4\u9ad8\u201d\uff0c\u8fd9\u91cc\u66f4\u51c6\u786e\u5e94\u7406\u89e3\u4e3a\uff1a<strong>\u7c7b\u578b\u8f6c\u6362\u7b49\u7ea7\u8c01\u66f4\u9ad8\uff0c\u6df7\u5408\u8fd0\u7b97\u65f6\u5411\u54ea\u4e2a\u7c7b\u578b\u8f6c\u6362\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 C \u8bed\u8a00\u548c 408 \u5e38\u89c1\u9898\u91cc\uff0c\u6df7\u5408\u8fd0\u7b97\u5927\u81f4\u9075\u5faa\u8fd9\u4e2a\u65b9\u5411\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f4e\u7b49\u7ea7\u7c7b\u578b \u2192 \u9ad8\u7b49\u7ea7\u7c7b\u578b\n\u6574\u6570 \u2192 \u6d6e\u70b9\u6570\nfloat \u2192 double \u2192 long double\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u7c97\u7565\u8bb0\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>long double &gt; double &gt; float &gt; \u6574\u578b\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u8868\u8fbe\u5f0f\u4e2d\u540c\u65f6\u6709\u6574\u6570\u548c\u6d6e\u70b9\u6570\u65f6\uff0c\u901a\u5e38\u628a\u6574\u6570\u8f6c\u6210\u6d6e\u70b9\u6570\u518d\u8fd0\u7b97\u6216\u6bd4\u8f83\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int a = 3;\nfloat b = 2.5f;\n\na + b\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8ba1\u7b97\u65f6\uff0c<code>a<\/code> \u4f1a\u5148\u8f6c\u6210 <code>float<\/code>\uff0c\u7136\u540e\u8fdb\u884c\u6d6e\u70b9\u8fd0\u7b97\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 \u2192 3.0f\n3.0f + 2.5f = 5.5f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int a = 3;\ndouble b = 2.5;\n\na + b\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5219 <code>a<\/code> \u8f6c\u6210 <code>double<\/code>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 \u2192 3.0\n3.0 + 2.5 = 5.5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u8f83\u8fd0\u7b97\u4e5f\u662f\u7c7b\u4f3c\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int a = 3;\ndouble b = 3.0;\n\na == b\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u8f83\u524d\uff0c<code>a<\/code> \u4f1a\u8f6c\u6362\u6210 <code>double<\/code>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 \u2192 3.0\n3.0 == 3.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u679c\u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u5982\u679c\u6574\u6570\u5f88\u5927\uff0c\u5c31\u53ef\u80fd\u51fa\u95ee\u9898\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int a = 16777217;\nfloat b = 16777216.0f;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u6bd4\u8f83\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>a == b\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6bd4\u8f83\u65f6\uff0c<code>a<\/code> \u53ef\u80fd\u88ab\u8f6c\u6362\u6210 <code>float<\/code>\u3002\u800c <code>16777217<\/code> \u8d85\u8fc7\u4e86 <code>float<\/code> \u80fd\u8fde\u7eed\u7cbe\u786e\u8868\u793a\u6574\u6570\u7684\u8303\u56f4\uff0c\u8f6c\u6210 <code>float<\/code> \u540e\u53ef\u80fd\u53d8\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>16777217 \u2192 16777216.0f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\u6bd4\u8f83\u53ef\u80fd\u5f97\u5230\u770b\u8d77\u6765\u53cd\u76f4\u89c9\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u672c\u8d28\u8003\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7c7b\u578b\u8f6c\u6362\u53ef\u80fd\u5bfc\u81f4\u7cbe\u5ea6\u4e22\u5931\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u505a\u9898\u65f6\u4e0d\u8981\u53ea\u8bb0\u201c\u5411\u9ad8\u7c7b\u578b\u8f6c\u6362\u201d\uff0c\u8fd8\u8981\u8865\u4e00\u53e5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5411\u6d6e\u70b9\u7c7b\u578b\u8f6c\u6362\u540e\uff0c\u8303\u56f4\u53ef\u80fd\u53d8\u5927\uff0c\u4f46\u6574\u6570\u7cbe\u5ea6\u53ef\u80fd\u4e22\u5931\u3002\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e94\u3001\u4e3a\u4ec0\u4e48\u6bd4\u8f83\u65f6\u901a\u5e38\u671d\u6d6e\u70b9\u6570\u8f6c\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u6d6e\u70b9\u6570\u80fd\u8868\u793a\u5c0f\u6570\uff0c\u6574\u6570\u7c7b\u578b\u4e0d\u80fd\u76f4\u63a5\u8868\u793a\u5c0f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int a = 3;\nfloat b = 3.5f;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u628a <code>b<\/code> \u8f6c\u6210 <code>int<\/code>\uff0c\u5c31\u4f1a\u4e22\u6389\u5c0f\u6570\u90e8\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3.5f \u2192 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u663e\u7136\u4f1a\u4e25\u91cd\u6539\u53d8\u6570\u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6df7\u5408\u8fd0\u7b97\u4e00\u822c\u628a\u6574\u6570\u8f6c\u6210\u6d6e\u70b9\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 \u2192 3.0f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6837\u81f3\u5c11\u53ef\u4ee5\u4fdd\u7559\u5c0f\u6570\u8fd0\u7b97\u7684\u8bed\u4e49\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u8fd9\u5e76\u4e0d\u4ee3\u8868\u6d6e\u70b9\u6570\u4e00\u5b9a\u201c\u66f4\u7cbe\u786e\u201d\u3002\u8fd9\u53e5\u8bdd\u5f88\u91cd\u8981\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6d6e\u70b9\u6570\u8868\u793a\u8303\u56f4\u66f4\u5927\uff0c\u4f46\u4e0d\u4e00\u5b9a\u6bd4\u6574\u6570\u66f4\u7cbe\u786e\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982 32 \u4f4d <code>int<\/code> \u53ef\u4ee5\u7cbe\u786e\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>16777217\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 32 \u4f4d <code>float<\/code> \u4e0d\u80fd\u7cbe\u786e\u8868\u793a\u8fd9\u4e2a\u6574\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5728\u8003\u9898\u91cc\u8981\u5206\u6e05\u4e24\u4e2a\u6982\u5ff5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8868\u793a\u8303\u56f4\uff1a\u80fd\u8868\u793a\u591a\u5927\u6216\u591a\u5c0f\u7684\u6570\n\u8868\u793a\u7cbe\u5ea6\uff1a\u80fd\u628a\u6570\u8868\u793a\u5f97\u591a\u7ec6\u3001\u591a\u51c6\u786e\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u8303\u56f4\u5927\uff0c\u4e0d\u7b49\u4e8e\u6240\u6709\u6570\u90fd\u7cbe\u786e\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u516d\u3001\u4ec0\u4e48\u662f\u6d6e\u70b9\u6570\u7684\u4e0a\u6ea2\u548c\u4e0b\u6ea2\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u8bf4\u7684\u201c\u4e0a\u610f\u548c\u4e0b\u610f\u201d\uff0c\u5e94\u8be5\u662f\u201c\u4e0a\u6ea2\u201d\u548c\u201c\u4e0b\u6ea2\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u771f\u503c\u4e00\u822c\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>N = \u00b1M \u00d7 R^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>M \u662f\u5c3e\u6570\uff0c\u51b3\u5b9a\u7cbe\u5ea6\nE \u662f\u9636\u7801\uff0c\u51b3\u5b9a\u8303\u56f4\nR \u662f\u57fa\u6570\uff0c\u4e8c\u8fdb\u5236\u4e2d\u901a\u5e38\u4e3a 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u6709\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u3002\u56e0\u4e3a\u9636\u7801\u5b57\u6bb5\u4f4d\u6570\u6709\u9650\uff0c\u6240\u4ee5\u6307\u6570\u4e0d\u80fd\u65e0\u9650\u5927\uff0c\u4e5f\u4e0d\u80fd\u65e0\u9650\u5c0f\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u4e0a\u6ea2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u4e00\u4e2a\u6570\u592a\u5927\uff0c\u8d85\u8fc7\u6d6e\u70b9\u6570\u80fd\u8868\u793a\u7684\u6700\u5927\u8303\u56f4\uff0c\u5c31\u53eb\u4e0a\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u771f\u5b9e\u7ed3\u679c\u7684\u7edd\u5bf9\u503c &gt; \u6700\u5927\u53ef\u8868\u793a\u6d6e\u70b9\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u4e00\u4e2a\u7cfb\u7edf\u6700\u591a\u53ea\u80fd\u8868\u793a\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.111... \u00d7 2^Emax\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u8fd0\u7b97\u7ed3\u679c\u9700\u8981\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxx \u00d7 2^(Emax + 1)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u9636\u7801\u5df2\u7ecf\u4e0d\u591f\u7528\u4e86\uff0c\u5c31\u662f\u4e0a\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 IEEE 754 \u4e2d\uff0c\u4e0a\u6ea2\u901a\u5e38\u4f1a\u5f97\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+\u221e \u6216 -\u221e\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u4e00\u822c\u8ba1\u7ec4\u9898\u4e2d\uff0c\u4e5f\u53ef\u80fd\u8bf4\u201c\u53d1\u751f\u6ea2\u51fa\uff0c\u673a\u5668\u65e0\u6cd5\u8868\u793a\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">408 \u91cc\u53ef\u4ee5\u8bb0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4e0a\u6ea2\uff1a\u9636\u7801\u592a\u5927\uff0c\u6570\u503c\u7edd\u5bf9\u503c\u592a\u5927\u3002\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u4e0b\u6ea2<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f53\u4e00\u4e2a\u975e\u96f6\u6570\u592a\u63a5\u8fd1 0\uff0c\u5c0f\u5230\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u65e0\u6cd5\u8868\u793a\uff0c\u5c31\u53eb\u4e0b\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 &lt; |\u771f\u5b9e\u7ed3\u679c| &lt; \u6700\u5c0f\u53ef\u8868\u793a\u6b63\u89c4\u683c\u5316\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u6700\u5c0f\u6b63\u89c4\u683c\u5316\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.000... \u00d7 2^Emin\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u7ed3\u679c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxx \u00d7 2^(Emin - 1)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6309\u89c4\u683c\u5316\u8981\u6c42\u5df2\u7ecf\u65e0\u6cd5\u7528\u66f4\u5c0f\u9636\u7801\u8868\u793a\uff0c\u5c31\u53d1\u751f\u4e0b\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u4e3a\u4e86\u7f13\u89e3\u8fd9\u4e2a\u95ee\u9898\uff0c\u5f15\u5165\u4e86\u975e\u89c4\u683c\u5316\u6570\uff0c\u4e5f\u53eb\u975e\u6b63\u89c4\u6570\u3001subnormal number\uff0c\u4f7f\u4e00\u90e8\u5206\u66f4\u63a5\u8fd1 0 \u7684\u6570\u8fd8\u80fd\u88ab\u8868\u793a\u3002\u4f46\u5728\u5f88\u591a 408 \u57fa\u7840\u9898\u91cc\uff0c\u82e5\u4e0d\u8ba8\u8bba\u975e\u89c4\u683c\u5316\u6570\uff0c\u53ef\u4ee5\u76f4\u63a5\u7406\u89e3\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4e0b\u6ea2\uff1a\u9636\u7801\u592a\u5c0f\uff0c\u975e\u96f6\u6570\u592a\u63a5\u8fd1 0\uff0c\u65e0\u6cd5\u89c4\u683c\u5316\u8868\u793a\u3002\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e03\u3001<code>0.1xxx<\/code> \u548c <code>1.xxx<\/code> \u5230\u5e95\u662f\u600e\u4e48\u5f04\u51fa\u6765\u7684\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u95ee\u9898\u672c\u8d28\u662f\uff1a<strong>\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u7684\u5c0f\u6570\u70b9\u5e94\u8be5\u653e\u5728\u54ea\u91cc\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u540c\u6559\u6750\u6709\u4e24\u79cd\u5e38\u89c1\u5199\u6cd5\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5199\u6cd5\u4e00\uff1aIEEE 754 \u5e38\u7528\u7684 <code>1.xxx \u00d7 2^E<\/code><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u89c4\u683c\u5316\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u91c7\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxx \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u610f\u601d\u662f\u628a\u4e8c\u8fdb\u5236\u6570\u79fb\u52a8\u5c0f\u6570\u70b9\uff0c\u4f7f\u6700\u9ad8\u6709\u6548\u4f4d\u653e\u5728\u5c0f\u6570\u70b9\u5de6\u8fb9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10110.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u628a\u5c0f\u6570\u70b9\u5411\u5de6\u79fb\u52a8 4 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10110.01\u2082 = 1.011001\u2082 \u00d7 2\u2074\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4ec0\u4e48\u662f <code>2\u2074<\/code>\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u5c0f\u6570\u70b9\u5411\u5de6\u79fb\u52a8\u4e86 4 \u4f4d\uff0c\u6570\u503c\u53d8\u5c0f\u4e86 <code>2\u2074<\/code> \u500d\u3002\u4e3a\u4e86\u4fdd\u6301\u539f\u503c\u4e0d\u53d8\uff0c\u9700\u8981\u4e58\u56de <code>2\u2074<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u770b\u4e00\u4e2a\u5c0f\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.001101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u9ad8\u6709\u6548\u4f4d\u662f\u4ece\u5de6\u5f80\u53f3\u7b2c\u4e00\u4e2a <code>1<\/code>\u3002\u628a\u5b83\u8c03\u6574\u6210 <code>1.xxx<\/code>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.001101\u2082 = 1.101\u2082 \u00d7 2\u207b\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u5c0f\u6570\u70b9\u5411\u53f3\u79fb\u52a8\u4e86 3 \u4f4d\uff0c\u5c3e\u6570\u53d8\u5927\u4e86 <code>2\u00b3<\/code> \u500d\u3002\u4e3a\u4e86\u4fdd\u6301\u539f\u503c\u4e0d\u53d8\uff0c\u8981\u4e58\u4ee5 <code>2\u207b\u00b3<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u89c4\u5f8b\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4e8c\u8fdb\u5236\u6570\u89c4\u683c\u5316\u6210 1.xxx \u00d7 2^E\n\u5c0f\u6570\u70b9\u5de6\u79fb\u51e0\u4f4d\uff0cE \u5c31\u52a0\u51e0\n\u5c0f\u6570\u70b9\u53f3\u79fb\u51e0\u4f4d\uff0cE \u5c31\u51cf\u51e0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1101.01\u2082 = 1.10101\u2082 \u00d7 2\u00b3\n0.01011\u2082 = 1.011\u2082 \u00d7 2\u207b\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f IEEE 754 \u4e2d <code>1.xxx<\/code> \u7684\u6765\u6e90\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u5199\u6cd5\u4e8c\uff1a\u67d0\u4e9b\u8ba1\u7ec4\u6559\u6750\u5e38\u7528\u7684 <code>0.1xxx \u00d7 2^E<\/code><\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6709\u4e9b\u6559\u6750\u8bb2\u4e00\u822c\u6d6e\u70b9\u683c\u5f0f\u65f6\uff0c\u559c\u6b22\u628a\u5c3e\u6570\u5199\u6210\u7eaf\u5c0f\u6570\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1xxx \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u5199\u6cd5\u8981\u6c42\u5c3e\u6570\u6ee1\u8db3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1\/2 \u2264 |M| &lt; 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u4e8c\u8fdb\u5236\u5c3e\u6570\u7684\u5c0f\u6570\u70b9\u540e\u7b2c\u4e00\u4f4d\u5fc5\u987b\u662f <code>1<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10110.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u53ef\u4ee5\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1011001\u2082 \u00d7 2\u2075\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4ec0\u4e48\u662f <code>2\u2075<\/code>\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1011001\u2082 \u00d7 2\u2075\n= 10110.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u5c0f\u6570\u70b9\u4ece <code>0.1011001<\/code> \u79fb\u5230 <code>10110.01<\/code>\uff0c\u76f8\u5f53\u4e8e\u5411\u53f3\u79fb\u52a8 5 \u4f4d\uff0c\u6240\u4ee5\u4e58 <code>2\u2075<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u540c\u4e00\u4e2a\u6570\u8fd8\u53ef\u4ee5\u7528 IEEE 754 \u98ce\u683c\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.011001\u2082 \u00d7 2\u2074\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e24\u79cd\u5199\u6cd5\u8868\u793a\u7684\u662f\u540c\u4e00\u4e2a\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.011001\u2082 \u00d7 2\u2074 = 0.1011001\u2082 \u00d7 2\u2075\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5dee\u522b\u53ea\u662f\u5c3e\u6570\u5f62\u5f0f\u4e0d\u540c\uff0c\u9636\u7801\u76f8\u5dee 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u603b\u7ed3\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxx \u00d7 2^E       \u662f IEEE 754 \u5e38\u7528\u89c4\u683c\u5316\u5f62\u5f0f\n0.1xxx \u00d7 2^(E+1)  \u662f\u67d0\u4e9b\u6559\u6750\u7684\u7eaf\u5c0f\u6570\u5c3e\u6570\u5f62\u5f0f\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u516b\u3001<code>10.0xx<\/code> \u662f\u4e0d\u662f\u89c4\u683c\u5316\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u6309 IEEE 754 \u7684\u89c4\u683c\u5316\u89c4\u5219\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.xxx \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48 <code>10.0xx \u00d7 2^E<\/code> \u4e0d\u662f\u89c4\u683c\u5316\u5f62\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u5c3e\u6570 <code>10.0xx\u2082<\/code> \u7684\u5927\u5c0f\u81f3\u5c11\u662f <code>2<\/code>\uff0c\u4e0d\u6ee1\u8db3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u2264 M &lt; 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e94\u8be5\u7ee7\u7eed\u79fb\u52a8\u5c0f\u6570\u70b9\uff0c\u628a\u5b83\u53d8\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00xx \u00d7 2^(E+1)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10.01\u2082 \u00d7 2\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u662f IEEE 754 \u7684\u89c4\u683c\u5316\u5f62\u5f0f\u3002\u5e94\u8be5\u6539\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.001\u2082 \u00d7 2\u2074\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u6309\u6559\u6750\u4e2d\u7684\u7eaf\u5c0f\u6570\u5c3e\u6570\u89c4\u5219\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1xxx \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48 <code>10.0xx<\/code> \u66f4\u4e0d\u662f\u89c4\u683c\u5316\u5c3e\u6570\uff0c\u56e0\u4e3a\u5c3e\u6570\u6839\u672c\u4e0d\u662f\u7eaf\u5c0f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u505a\u9898\u5224\u65ad\u89c4\u683c\u5316\u65f6\uff0c\u5148\u770b\u9898\u76ee\u89c4\u5b9a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5982\u679c\u89c4\u5b9a\u5c3e\u6570\u5f62\u5f0f\u662f 1.xxx\uff0c\u5219\u89c4\u683c\u5316\u5c3e\u6570\u5fc5\u987b\u6ee1\u8db3 1 \u2264 M &lt; 2\u3002\n\u5982\u679c\u89c4\u5b9a\u5c3e\u6570\u5f62\u5f0f\u662f 0.1xxx\uff0c\u5219\u89c4\u683c\u5316\u5c3e\u6570\u5fc5\u987b\u6ee1\u8db3 1\/2 \u2264 |M| &lt; 1\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>10.xxx<\/code> \u4e00\u822c\u90fd\u4e0d\u662f\u89c4\u683c\u5316\u5c3e\u6570\uff0c\u8fd8\u8981\u7ee7\u7eed\u8c03\u6574\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e5d\u3001\u628a <code>0.1xxx<\/code> \u548c <code>1.xxx<\/code> \u5bf9\u7167\u7406\u89e3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\u6709\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>110.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528 IEEE 754 \u98ce\u683c\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>110.101\u2082 = 1.10101\u2082 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528\u7eaf\u5c0f\u6570\u5c3e\u6570\u98ce\u683c\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>110.101\u2082 = 0.110101\u2082 \u00d7 2\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e24\u4e2a\u90fd\u5bf9\uff0c\u5173\u952e\u770b\u9898\u76ee\u8981\u6c42\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u6bd4\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.001011\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u98ce\u683c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.001011\u2082 = 1.011\u2082 \u00d7 2\u207b\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7eaf\u5c0f\u6570\u5c3e\u6570\u98ce\u683c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.001011\u2082 = 0.1011\u2082 \u00d7 2\u207b\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u770b\u5230\uff0c\u4e24\u79cd\u5f62\u5f0f\u7684\u5c3e\u6570\u5c0f\u6570\u70b9\u4f4d\u7f6e\u5dee 1 \u4f4d\uff0c\u6240\u4ee5\u9636\u7801\u4e5f\u5dee 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6b63\u662f\u5f88\u591a\u9898\u5bb9\u6613\u6df7\u4e71\u7684\u5730\u65b9\uff1a\u4e0d\u662f\u7b97\u9519\u4e86\uff0c\u800c\u662f\u91c7\u7528\u7684\u89c4\u683c\u5316\u7ea6\u5b9a\u4e0d\u540c\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u5341\u3001\u505a\u9898\u65f6\u6700\u7a33\u7684\u5224\u65ad\u6d41\u7a0b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9047\u5230\u6d6e\u70b9\u6570\u7c7b\u578b\u4e0e\u8f6c\u6362\u9898\uff0c\u5148\u5224\u65ad\u6570\u636e\u7c7b\u578b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int \/ long\uff1a\u6574\u6570\u7c7b\u578b\uff0c\u901a\u5e38\u7cbe\u786e\u8868\u793a\u6574\u6570\nfloat \/ double\uff1a\u6d6e\u70b9\u7c7b\u578b\uff0c\u8303\u56f4\u5927\u4f46\u7cbe\u5ea6\u6709\u9650\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9047\u5230\u6df7\u5408\u8fd0\u7b97\u6216\u6bd4\u8f83\u9898\uff0c\u5148\u5224\u65ad\u8f6c\u6362\u65b9\u5411\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6709 double\uff0c\u901a\u5e38\u8f6c double\n\u6709 float \u4e14\u65e0 double\uff0c\u901a\u5e38\u8f6c float\n\u6574\u6570\u548c\u6d6e\u70b9\u6df7\u5408\uff0c\u901a\u5e38\u6574\u6570\u8f6c\u6d6e\u70b9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u7acb\u523b\u8ffd\u95ee\u81ea\u5df1\u4e00\u53e5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8f6c\u6362\u540e\u4f1a\u4e0d\u4f1a\u4e22\u7cbe\u5ea6\uff1f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c24\u5176\u662f\u5927\u6574\u6570\u8f6c <code>float<\/code> \u6216 <code>double<\/code> \u65f6\uff0c\u5bb9\u6613\u4e22\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9047\u5230\u6d6e\u70b9\u6570\u89c4\u683c\u5316\u9898\uff0c\u5148\u770b\u9898\u76ee\u91c7\u7528\u54ea\u79cd\u5c3e\u6570\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>IEEE 754\uff1a1.xxx \u00d7 2^E\n\u4e00\u822c\u6559\u6750\u7eaf\u5c0f\u6570\u5c3e\u6570\uff1a0.1xxx \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u79fb\u52a8\u5c0f\u6570\u70b9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c0f\u6570\u70b9\u5de6\u79fb\uff0c\u9636\u7801\u589e\u52a0\n\u5c0f\u6570\u70b9\u53f3\u79fb\uff0c\u9636\u7801\u51cf\u5c11\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9047\u5230\u4e0a\u6ea2\u3001\u4e0b\u6ea2\u9898\uff0c\u6293\u4f4f\u9636\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4e0a\u6ea2\uff1a\u9636\u7801\u592a\u5927\uff0c\u6570\u592a\u5927\n\u4e0b\u6ea2\uff1a\u9636\u7801\u592a\u5c0f\uff0c\u6570\u592a\u63a5\u8fd1 0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u540e\u628a\u8fd9\u51e0\u53e5\u8bdd\u8bb0\u4f4f\uff0c\u57fa\u672c\u80fd\u8986\u76d6 408 \u91cc\u5927\u591a\u6570\u6d6e\u70b9\u6570\u57fa\u7840\u9898\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f4d\u6570\u76f8\u540c\uff0c\u4e0d\u4ee3\u8868\u7c7b\u578b\u76f8\u540c\u3002\n\u6574\u6570\u7c7b\u578b\u91cd\u5728\u7cbe\u786e\u8868\u793a\u6574\u6570\u3002\n\u6d6e\u70b9\u7c7b\u578b\u91cd\u5728\u6269\u5927\u8868\u793a\u8303\u56f4\uff0c\u4f46\u7cbe\u5ea6\u6709\u9650\u3002\n\u9636\u7801\u51b3\u5b9a\u8303\u56f4\uff0c\u5c3e\u6570\u51b3\u5b9a\u7cbe\u5ea6\u3002\n\u6df7\u5408\u8fd0\u7b97\u901a\u5e38\u5411\u66f4\u9ad8\u7b49\u7ea7\u7c7b\u578b\u8f6c\u6362\uff0c\u6574\u6570\u9047\u5230\u6d6e\u70b9\u901a\u5e38\u8f6c\u6d6e\u70b9\u3002\n\u89c4\u683c\u5316\u7684\u76ee\u7684\uff0c\u662f\u8ba9\u5c3e\u6570\u6700\u9ad8\u6709\u6548\u4f4d\u56fa\u5b9a\uff0c\u4ece\u800c\u51cf\u5c11\u5197\u4f59\u3001\u63d0\u9ad8\u6709\u6548\u7cbe\u5ea6\u3002\nIEEE 754 \u89c4\u683c\u5316\u5c3e\u6570\u662f 1.xxx\uff0c\u4e00\u822c\u6559\u6750\u4e5f\u53ef\u80fd\u5199\u6210 0.1xxx\u3002\n\u4e0a\u6ea2\u662f\u592a\u5927\uff0c\u4e0b\u6ea2\u662f\u592a\u5c0f\u4e14\u63a5\u8fd1 0\u3002\n<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/1314-1024x452.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"452\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/1314-1024x452.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2343\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c13\u9898\u7b54\u6848\uff1aA\u3002<br>\u7b2c14\u9898\u7b54\u6848\uff1aB\uff0c\u5373 <code>3F8C CCCD<\/code>\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c13\u9898\uff1a\u6d6e\u70b9\u52a0\u6cd5\u4e2d\u7684\u201c\u5bf9\u9636\u201d\u600e\u4e48\u505a<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>x = -126<\/code>\uff0c<code>y = 15.75<\/code>\uff0c\u4e8c\u8005\u90fd\u662f IEEE 754 \u5355\u7cbe\u5ea6 float\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S\uff1a1 \u4f4d\n\u9636\u7801 E\uff1a8 \u4f4d\uff0c\u504f\u7f6e\u503c\u4e3a 127\n\u5c3e\u6570 M\uff1a23 \u4f4d\uff0c\u89c4\u683c\u5316\u6570\u9ed8\u8ba4\u9690\u85cf\u6700\u9ad8\u4f4d 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u5206\u522b\u5199\u6210\u4e8c\u8fdb\u5236\u89c4\u683c\u5316\u5f62\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>x = -126<\/code><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>126 = 1111110\u2082 = 1.111110\u2082 \u00d7 2\u2076\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x \u7684\u7b26\u53f7\u4f4d = 1\nx \u7684\u771f\u5b9e\u9636\u7801 = 6\nx \u7684\u79fb\u7801\u9636\u7801 = 6 + 127 = 133 = 10000101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>y = 15.75<\/code><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>15.75 = 1111.11\u2082 = 1.111110\u2082 \u00d7 2\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>y \u7684\u7b26\u53f7\u4f4d = 0\ny \u7684\u771f\u5b9e\u9636\u7801 = 3\ny \u7684\u79fb\u7801\u9636\u7801 = 3 + 127 = 130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u52a0\u6cd5\u65f6\uff0c\u7b2c\u4e00\u6b65\u662f\u5bf9\u9636\u3002\u5bf9\u9636\u539f\u5219\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c0f\u9636\u5411\u5927\u9636\u5bf9\u9f50\uff0c\u9636\u7801\u5c0f\u7684\u90a3\u4e2a\u6570\u5c3e\u6570\u53f3\u79fb\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x \u7684\u771f\u5b9e\u9636\u7801 = 6\ny \u7684\u771f\u5b9e\u9636\u7801 = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5e94\u8be5\u4fdd\u6301 <code>x<\/code> \u4e0d\u53d8\uff0c\u8ba9 <code>y<\/code> \u5411 <code>x<\/code> \u5bf9\u9f50\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u5dee\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>6 - 3 = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 <code>y<\/code> \u7684\u5c3e\u6570\u53f3\u79fb 3 \u4f4d\uff0c\u9636\u7801\u53d8\u6210\u548c <code>x<\/code> \u4e00\u6837\u7684 <code>10000101<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>y<\/code> \u539f\u6765\u7684\u6709\u6548\u5c3e\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.111110... \u00d7 2\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u9f50\u5230 <code>2\u2076<\/code> \u540e\u53d8\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.001111110... \u00d7 2\u2076\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5bf9\u9636\u540e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x \u4e0d\u53d8\ny \u7684\u7b26\u53f7\u4f4d\u4ecd\u4e3a 0\ny \u7684\u9636\u7801\u53d8\u4e3a 10000101\ny \u7684\u5c3e\u6570\u53f3\u79fb\u4e3a 0.001111110...0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u9009\u9879 A\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x \u4e0d\u53d8\uff0cy \u4e3a 010000101, 0.00111110...0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u524d\u9762\u7684 <code>010000101<\/code> \u53ef\u4ee5\u7406\u89e3\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 | 10000101\n\u7b26\u53f7\u4f4d | \u9636\u7801\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c13\u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u5bb9\u6613\u9519\u5728\u628a\u201c\u6570\u503c\u6b63\u8d1f\u201d\u4e0e\u201c\u9636\u7801\u5927\u5c0f\u201d\u6df7\u5728\u4e00\u8d77\u3002<code>x<\/code> \u867d\u7136\u662f\u8d1f\u6570\uff0c\u4f46\u5bf9\u9636\u6bd4\u8f83\u7684\u662f\u6307\u6570\u90e8\u5206\uff0c\u4e5f\u5c31\u662f\u6570\u91cf\u7ea7\uff0c\u4e0d\u662f\u6bd4\u8f83\u4ee3\u6570\u5927\u5c0f\u3002\u56e0\u4e3a <code>|-126|<\/code> \u7684\u6570\u91cf\u7ea7\u6bd4 <code>15.75<\/code> \u5927\uff0c\u6240\u4ee5\u5e94\u8ba9 <code>y<\/code> \u5411 <code>x<\/code> \u5bf9\u9f50\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c14\u9898\uff1a1 + 0.1 \u7684 IEEE 754 \u5355\u7cbe\u5ea6\u8868\u793a<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = 1\ny = 0.1\n0.1 \u7684\u4e8c\u8fdb\u5236\u8868\u793a\u4e3a 0.0001100110011...\n\u91cd\u590d\u56e0\u5b50\u4e3a 0011\n\u91c7\u7528 IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u548c\u5c31\u8fd1\u820d\u5165\u65b9\u5f0f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u6c42 <code>x + y<\/code> \u7684\u7ed3\u679c\u7528\u5341\u516d\u8fdb\u5236\u673a\u5668\u6570\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u5b66\u4e0a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x + y = 1 + 0.1 = 1.1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f <code>0.1<\/code> \u4e0d\u80fd\u7528\u4e8c\u8fdb\u5236\u6709\u9650\u4f4d\u7cbe\u786e\u8868\u793a\uff0c\u6240\u4ee5\u7ed3\u679c\u8981\u6309 IEEE 754 \u5355\u7cbe\u5ea6\u8fdb\u884c\u820d\u5165\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>1.1<\/code> \u7684\u4e8c\u8fdb\u5236\u5f62\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.1\u2081\u2080 = 1.0001100110011001100110011...\u2082 \u00d7 2\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 0\n\u771f\u5b9e\u9636\u7801 = 0\n\u79fb\u7801\u9636\u7801 E = 0 + 127 = 127 = 01111111\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u63a5\u4e0b\u6765\u53d6 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c0f\u6570\u70b9\u540e\u7684\u4e8c\u8fdb\u5236\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0001100110011001100110011...\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d 23 \u4f4d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00011001100110011001100\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 24 \u4f4d\u662f <code>1<\/code>\uff0c\u540e\u9762\u8fd8\u6709\u975e\u96f6\u4f4d\uff0c\u6240\u4ee5\u6309\u201c\u5c31\u8fd1\u820d\u5165\u201d\u8981\u5411\u4e0a\u8fdb 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5c3e\u6570\u5b57\u6bb5\u53d8\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00011001100110011001101\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\u5b8c\u6574\u7684 32 \u4f4d IEEE 754 \u5355\u7cbe\u5ea6\u673a\u5668\u6570\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 01111111 00011001100110011001101\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6309 4 \u4f4d\u4e00\u7ec4\u8f6c\u6210\u5341\u516d\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0011 1111 1000 1100 1100 1100 1100 1101\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5373\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3F8C CCCD\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c14\u9898\u9009 B\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9009\u9879 C <code>3F8C CCCC<\/code> \u5f88\u6709\u8ff7\u60d1\u6027\uff0c\u5b83\u76f8\u5f53\u4e8e\u53ea\u622a\u65ad\u3001\u4e0d\u8fdb\u4f4d\uff1b\u4f46\u9898\u76ee\u660e\u786e\u8bf4\u201c\u5c31\u8fd1\u820d\u5165\u201d\uff0c\u6240\u4ee5\u6700\u540e\u4e00\u4f4d\u8981\u4ece <code>C<\/code> \u8fdb\u5230 <code>D<\/code>\u3002\u9009\u9879 A <code>3F80 0000<\/code> \u662f <code>1.0<\/code>\uff0c\u53ea\u6709\u5f53 <code>0.1<\/code> \u5728\u5bf9\u9636\u540e\u5b8c\u5168\u88ab\u4e22\u6389\u65f6\u624d\u53ef\u80fd\u51fa\u73b0\uff0c\u4f46\u8fd9\u91cc\u9636\u5dee\u4e0d\u5927\uff0c\u4e0d\u80fd\u4e22\u6389\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/1517-579x1024.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"579\" height=\"1024\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/1517-579x1024.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2344\"  sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">15\uff5e17\u9898\u7b54\u6848\u4f9d\u6b21\u4e3a\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">15\uff1aA<br>16\uff1aC<br>17\uff1aB<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7b2c15\u9898\uff1aIEEE 754 \u4e2d\u975e\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u600e\u4e48\u8868\u793a\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u9009 <strong>A\uff1a\u9636\u7801\u4e3a 0\uff0c\u5c3e\u6570\u4e3a\u4efb\u610f\u975e 0 \u7684\u4e8c\u8fdb\u5236\u6570<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u4e2d\uff0c32 \u4f4d\u683c\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S\uff1a1 \u4f4d\n\u9636\u7801 E\uff1a8 \u4f4d\n\u5c3e\u6570\u5b57\u6bb5 M\uff1a23 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u7684\u7279\u6b8a\u7f16\u7801\u89c4\u5219\u8981\u8bb0\u4f4f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u9636\u7801\u5b57\u6bb5<\/th><th>\u5c3e\u6570\u5b57\u6bb5<\/th><th>\u8868\u793a\u542b\u4e49<\/th><\/tr><\/thead><tbody><tr><td>E = 0\uff0cM = 0<\/td><td>\u5168 0<\/td><td>\u00b10<\/td><\/tr><tr><td>E = 0\uff0cM \u2260 0<\/td><td>\u975e 0<\/td><td>\u975e\u89c4\u683c\u5316\u6570<\/td><\/tr><tr><td>0 &lt; E &lt; 255<\/td><td>\u4efb\u610f<\/td><td>\u89c4\u683c\u5316\u6570<\/td><\/tr><tr><td>E = 255\uff0cM = 0<\/td><td>\u5168 0<\/td><td>\u00b1\u221e<\/td><\/tr><tr><td>E = 255\uff0cM \u2260 0<\/td><td>\u975e 0<\/td><td>NaN<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u975e\u89c4\u683c\u5316\u6570\u7684\u5224\u65ad\u6761\u4ef6\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5168 0\uff0c\u5c3e\u6570\u5b57\u6bb5\u975e 0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ce8\u610f\u8fd9\u91cc\u7684\u201c\u5c3e\u6570\u4e3a\u4efb\u610f\u975e 0 \u7684\u4e8c\u8fdb\u5236\u6570\u201d\uff0c\u66f4\u4e25\u683c\u5730\u8bf4\u662f\u201c\u5c3e\u6570\u5b57\u6bb5\u975e 0\u201d\u3002\u975e\u89c4\u683c\u5316\u6570\u6ca1\u6709\u9690\u85cf\u7684\u524d\u5bfc 1\uff0c\u5b83\u7684\u6709\u6548\u6570\u5f62\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.M \u00d7 2^(1-bias)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u89c4\u683c\u5316\u6570\u624d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.M \u00d7 2^(E-bias)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u7b2c15\u9898\u9009 <strong>A<\/strong>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7b2c16\u9898\uff1a\u5bf9\u9636\u65f6\uff0c\u9690\u85cf\u7684\u524d\u5bfc 1 \u600e\u4e48\u5904\u7406\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u9009 <strong>C\uff1a\u5bf9\u9636\u79fb\u4f4d\u524d\uff0c\u9700\u5148\u5c06\u9690\u542b\u7684\u201c1\u201d\u6062\u590d\u5230\u5c3e\u6570\u9ad8\u4f4d\uff0c\u518d\u6574\u4f53\u53f3\u79fb<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u89c4\u683c\u5316\u6570\u7684\u5c3e\u6570\u5e76\u4e0d\u662f\u53ea\u770b 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5\u3002\u5bf9\u4e8e\u89c4\u683c\u5316\u6570\uff0c\u771f\u5b9e\u53c2\u4e0e\u8fd0\u7b97\u7684\u6709\u6548\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.M\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u6700\u9ad8\u4f4d\u7684 <code>1<\/code> \u4e0d\u5b58\u50a8\u5728\u673a\u5668\u6570\u4e2d\uff0c\u800c\u662f\u9690\u542b\u5b58\u5728\u7684\uff0c\u8fd9\u5c31\u662f\u6240\u8c13\u201c\u9690\u85cf\u4f4d\u201d\u6216\u201c\u9690\u542b\u7684\u524d\u5bfc 1\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u52a0\u51cf\u6cd5\u7684\u4e00\u822c\u6d41\u7a0b\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0. \u64cd\u4f5c\u6570\u62c6\u5206\uff1a\u7b26\u53f7\u4f4d\u3001\u9636\u7801\u3001\u5c3e\u6570\n1. \u5bf9\u9636\uff1a\u5c0f\u9636\u5411\u5927\u9636\u770b\u9f50\n2. \u5c3e\u6570\u52a0\u51cf\n3. \u89c4\u683c\u5316\n4. \u820d\u5165\n5. \u5224\u65ad\u6ea2\u51fa\/\u4e0b\u6ea2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u5bf9\u9636\u9636\u6bb5\uff0c\u5982\u679c\u4e24\u4e2a\u6570\u9636\u7801\u4e0d\u540c\uff0c\u5c31\u8981\u628a\u9636\u7801\u8f83\u5c0f\u7684\u90a3\u4e2a\u6570\u7684\u5c3e\u6570\u53f3\u79fb\u3002\u5173\u952e\u662f\uff1a\u53f3\u79fb\u7684\u4e0d\u662f\u5355\u7eaf\u7684 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5\uff0c\u800c\u662f\u771f\u5b9e\u6709\u6548\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u89c4\u683c\u5316\u6570\u7684\u5c3e\u6570\u5b57\u6bb5\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>M = 010100...\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u5b9e\u53c2\u4e0e\u8fd0\u7b97\u7684\u5c3e\u6570\u5e94\u5148\u8fd8\u539f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.010100...\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5b83\u7684\u9636\u7801\u6bd4\u53e6\u4e00\u4e2a\u6570\u5c0f 3\uff0c\u5c31\u8981\u53f3\u79fb 3 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.010100... \u53f3\u79fb 3 \u4f4d\n= 0.001010100...\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u9690\u85cf\u7684 <code>1<\/code> \u4f1a\u53c2\u4e0e\u53f3\u79fb\uff0c\u800c\u4e0d\u662f\u6c38\u8fdc\u56fa\u5b9a\u5728\u6700\u9ad8\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9010\u9879\u5224\u65ad\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A \u9519\u3002\u9690\u85cf\u7684 <code>1<\/code> \u4e0d\u4f1a\u59cb\u7ec8\u4fdd\u7559\u5728\u6700\u9ad8\u4f4d\uff0c\u5bf9\u9636\u53f3\u79fb\u65f6\u5b83\u53ef\u80fd\u88ab\u79fb\u5230\u5c0f\u6570\u70b9\u540e\u66f4\u4f4e\u7684\u4f4d\u7f6e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B \u9519\u3002\u4e0d\u80fd\u4e3a\u4e86\u201c\u4fdd\u6301\u89c4\u683c\u5316\u5f62\u5f0f\u201d\u5728\u5bf9\u9636\u540e\u5f3a\u884c\u628a\u6700\u9ad8\u4f4d\u91cd\u7f6e\u4e3a 1\u3002\u5bf9\u9636\u9636\u6bb5\u53ea\u662f\u4e3a\u4e86\u7edf\u4e00\u9636\u7801\uff0c\u4e0d\u8981\u6c42\u6bcf\u4e2a\u53c2\u4e0e\u8fd0\u7b97\u7684\u4e34\u65f6\u5c3e\u6570\u4ecd\u7136\u4fdd\u6301\u89c4\u683c\u5316\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C \u5bf9\u3002\u89c4\u683c\u5316\u6570\u5728\u53c2\u4e0e\u5c3e\u6570\u8fd0\u7b97\u524d\uff0c\u5e94\u5148\u628a\u9690\u542b\u7684\u524d\u5bfc <code>1<\/code> \u6062\u590d\u51fa\u6765\uff0c\u7136\u540e\u6574\u4f53\u53f3\u79fb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D \u9519\u3002\u975e\u89c4\u683c\u5316\u6570\u6ca1\u6709\u9690\u542b\u7684\u524d\u5bfc <code>1<\/code>\uff0c\u5b83\u7684\u6709\u6548\u6570\u662f <code>0.M<\/code>\uff0c\u4e0d\u662f <code>1.M<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u7b2c16\u9898\u9009 <strong>C<\/strong>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u7b2c17\u9898\uff1a\u9636\u7801\u5dee\u591a\u5927\u65f6\uff0c\u5c0f\u6570\u53ef\u4ee5\u76f4\u63a5\u5ffd\u7565\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u9009 <strong>B\uff1a25<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u7684\u6709\u6548\u4f4d\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u9690\u85cf\u4f4d + 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5 = 24 \u4f4d\u6709\u6548\u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u7684\u7cbe\u5ea6\u662f 24 \u4f4d\u4e8c\u8fdb\u5236\u6709\u6548\u6570\u5b57\uff0c\u800c\u4e0d\u662f 23 \u4f4d\u300223 \u4f4d\u53ea\u662f\u663e\u5f0f\u5b58\u50a8\u7684\u5c3e\u6570\u5b57\u6bb5\uff0c\u9690\u85cf\u7684\u524d\u5bfc <code>1<\/code> \u4e5f\u8981\u7b97\u8fdb\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u52a0\u51cf\u6cd5\u5bf9\u9636\u65f6\uff0c\u9636\u7801\u5c0f\u7684\u6570\u8981\u53f3\u79fb\u3002\u5047\u8bbe\u4e24\u4e2a\u6570\u7684\u9636\u7801\u5dee\u4e3a \u0394E\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u0394E = |E1 - E2|\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c \u0394E \u5f88\u5927\uff0c\u9636\u7801\u8f83\u5c0f\u7684\u6570\u53f3\u79fb\u592a\u591a\uff0c\u5b83\u7684\u6709\u6548\u4f4d\u4f1a\u88ab\u79fb\u5230\u7ed3\u679c\u4fdd\u7559\u7cbe\u5ea6\u4e4b\u5916\uff0c\u5bf9\u6700\u7ec8\u7ed3\u679c\u6ca1\u6709\u5f71\u54cd\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u6709 24 \u4f4d\u6709\u6548\u4f4d\u3002\u91c7\u7528\u5c31\u8fd1\u820d\u5165\u65f6\uff0c\u5224\u65ad\u4e00\u4e2a\u5f88\u5c0f\u7684\u6570\u662f\u5426\u8fd8\u80fd\u5f71\u54cd\u7ed3\u679c\uff0c\u8981\u770b\u5b83\u662f\u5426\u8fbe\u5230\u201c\u5927\u6570\u6700\u4f4e\u6709\u6548\u4f4d\u7684\u4e00\u534a\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u5355\u7cbe\u5ea6\u4e2d\uff0c\u5982\u679c\u9636\u7801\u5dee\u8fbe\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u0394E \u2265 25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\u5c0f\u9636\u6570\u6700\u5927\u4e5f\u5c0f\u4e8e\u5927\u9636\u6570\u5f53\u524d\u7cbe\u5ea6\u4e0b\u7684\u534a\u4e2a\u6700\u4f4e\u6709\u6548\u4f4d\uff0c\u56e0\u6b64\u5728\u5c31\u8fd1\u820d\u5165\u4e0b\u4e0d\u4f1a\u6539\u53d8\u6700\u7ec8\u7ed3\u679c\uff0c\u53ef\u4ee5\u76f4\u63a5\u53d6\u9636\u7801\u8f83\u5927\u7684\u90a3\u4e2a\u64cd\u4f5c\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u672c\u9898\u9009 <strong>B\uff1a25<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u6700\u5bb9\u6613\u9519\u7684\u662f\u9009 A\uff1a24\u3002\u56e0\u4e3a\u5f88\u591a\u4eba\u8bb0\u4f4f\u201c\u5355\u7cbe\u5ea6\u6709\u6548\u4f4d\u6570\u662f 24 \u4f4d\u201d\uff0c\u4e8e\u662f\u76f4\u63a5\u8ba4\u4e3a\u9636\u5dee\u5927\u4e8e\u7b49\u4e8e 24 \u5c31\u53ef\u4ee5\u5ffd\u7565\u3002\u4f46\u91c7\u7528\u5c31\u8fd1\u820d\u5165\u65f6\uff0c\u9636\u5dee\u4e3a 24 \u7684\u5c0f\u6570\u4ecd\u53ef\u80fd\u6b63\u597d\u8fbe\u5230\u534a\u4e2a\u6700\u4f4e\u6709\u6548\u4f4d\uff0c\u53ef\u80fd\u5f71\u54cd\u820d\u5165\u7ed3\u679c\uff0c\u56e0\u6b64\u4e0d\u80fd\u4fdd\u8bc1\u65e0\u5f71\u54cd\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u8fd9\u6837\u8bb0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5355\u7cbe\u5ea6\u6709\u6548\u4f4d\u6570 p = 24\n\u5c31\u8fd1\u820d\u5165\u4e0b\uff0c\u9636\u5dee \u0394E \u2265 p + 1 \u65f6\uff0c\u5c0f\u6570\u4e00\u5b9a\u65e0\u5f71\u54cd\n\u6240\u4ee5 \u0394E \u2265 25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u662f\u53cc\u7cbe\u5ea6\uff0c\u5219\u6709\u6548\u4f4d\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u9690\u85cf\u4f4d + 52 \u4f4d\u5c3e\u6570\u5b57\u6bb5 = 53 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u7684\u7c7b\u4f3c\u5224\u65ad\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u0394E \u2265 54\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e09\u9898\u603b\u7ed3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e09\u9898\u672c\u8d28\u90fd\u5728\u8003 IEEE 754 \u7684\u51e0\u4e2a\u56fa\u5b9a\u89c4\u5219\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c15\u9898\u8003\u7279\u6b8a\u7f16\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5168 0\uff0c\u5c3e\u6570\u975e 0 \u2192 \u975e\u89c4\u683c\u5316\u6570\n\u9636\u7801\u5168 0\uff0c\u5c3e\u6570\u5168 0 \u2192 0\n\u9636\u7801\u5168 1\uff0c\u5c3e\u6570\u5168 0 \u2192 \u65e0\u7a77\u5927\n\u9636\u7801\u5168 1\uff0c\u5c3e\u6570\u975e 0 \u2192 NaN\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c16\u9898\u8003\u9690\u85cf\u4f4d\u662f\u5426\u53c2\u4e0e\u8fd0\u7b97\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u89c4\u683c\u5316\u6570\u53c2\u4e0e\u8fd0\u7b97\u524d\uff0c\u8981\u628a\u9690\u85cf\u7684 1 \u6062\u590d\u51fa\u6765\n\u5bf9\u9636\u65f6\uff0c\u6574\u4e2a\u6709\u6548\u6570\u4e00\u8d77\u53f3\u79fb\n\u975e\u89c4\u683c\u5316\u6570\u6ca1\u6709\u9690\u85cf\u7684 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c17\u9898\u8003\u5355\u7cbe\u5ea6\u6709\u6548\u4f4d\u6570\u548c\u820d\u5165\u5f71\u54cd\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5355\u7cbe\u5ea6\u6709\u6548\u4f4d\u6570 = 24 \u4f4d\n\u91c7\u7528\u5c31\u8fd1\u820d\u5165\u65f6\uff0c\u9636\u5dee \u0394E \u2265 25\uff0c\u5c0f\u9636\u6570\u5bf9\u7ed3\u679c\u65e0\u5f71\u54cd\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u7ec8\u7b54\u6848\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>15. A\n16. C\n17. B\n<\/code><\/pre>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/20-254x1024.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"254\" height=\"1024\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/20-254x1024.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2345\"\/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u4f55\u7406\u89e3\u8fd9\u53e5\uff1a\u5f53\u4e24\u6d6e\u70b9\u6570\u9636\u7801\u76f8\u5dee\u8d85\u8fc7\u5c3e\u6570\u4f4d\u5bbd(24153\u4f4d)\u65f6\uff0c\u5c0f\u9636\u64cd\u4f5c\u6570\u5728\u53f3\u79fb\u540e\u6709\u6548\u4f4d\u5168\u90e8\u4e22\u5931\uff0c\u5bfc\u81f4\u52a0\u6cd5\u7ed3\u679c\u7b49\u4e8e\u5927\u9636\u64cd\u4f5c\u6570<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u53e5\u8bdd\u672c\u8d28\u4e0a\u662f\u5728\u89e3\u91ca\u6d6e\u70b9\u52a0\u6cd5\u4e2d\u7684<strong>\u5bf9\u9636<\/strong>\u8fc7\u7a0b\uff0c\u4e5f\u5c31\u662f\u4e3a\u4ec0\u4e48\u4f1a\u51fa\u73b0\u201c<strong>\u5927\u6570\u5403\u5c0f\u6570<\/strong>\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u628a\u7ed3\u8bba\u653e\u524d\u9762\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6d6e\u70b9\u52a0\u6cd5\u4e2d\uff0c\u4e24\u4e2a\u6570\u76f8\u52a0\u524d\u5fc5\u987b\u5148\u628a\u9636\u7801\u8c03\u6210\u4e00\u6837\u3002\u9636\u7801\u5c0f\u7684\u90a3\u4e2a\u6570\uff0c\u5176\u5c3e\u6570\u8981\u4e0d\u65ad\u53f3\u79fb\u3002\u5982\u679c\u4e24\u4e2a\u6570\u7684\u9636\u7801\u5dee\u592a\u5927\uff0c\u5c0f\u6570\u7684\u6240\u6709\u6709\u6548\u4f4d\u90fd\u4f1a\u88ab\u53f3\u79fb\u5230\u5c3e\u6570\u4f4d\u5bbd\u4e4b\u5916\uff0c\u673a\u5668\u4fdd\u7559\u4e0b\u6765\u7684\u5c3e\u6570\u4e2d\u5df2\u7ecf\u6ca1\u6709\u5b83\u7684\u6709\u6548\u4fe1\u606f\uff0c\u4e8e\u662f\u52a0\u6cd5\u7ed3\u679c\u5c31\u7b49\u4e8e\u90a3\u4e2a\u5927\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5927\u6570 + \u6781\u5c0f\u6570 = \u5927\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e0d\u662f\u6570\u5b66\u4e0a\u76f8\u7b49\uff0c\u800c\u662f<strong>\u6d6e\u70b9\u6570\u673a\u5668\u8868\u793a\u7cbe\u5ea6\u4e0d\u591f\u5bfc\u81f4\u7684\u7ed3\u679c<\/strong>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5 IEEE 754 double \u4e3a\u4f8b\uff0c\u4e00\u4e2a double \u7684\u6709\u6548\u7cbe\u5ea6\u662f 53 \u4f4d\u4e8c\u8fdb\u5236\u6709\u6548\u4f4d\uff0c\u5176\u4e2d\u5305\u62ec\u9690\u85cf\u7684\u6700\u9ad8\u4f4d 1\u3002\u5b83\u7684\u5b58\u50a8\u683c\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 11 \u4f4d\u9636\u7801 + 52 \u4f4d\u5c3e\u6570\u5b57\u6bb5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u867d\u7136\u5c3e\u6570\u5b57\u6bb5\u53ea\u5b58 52 \u4f4d\uff0c\u4f46\u89c4\u683c\u5316\u6570\u6700\u9ad8\u4f4d\u7684 1 \u88ab\u9690\u85cf\u4e86\uff0c\u6240\u4ee5\u5b9e\u9645\u6709\u6548\u4f4d\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 + 52 = 53 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64 double \u80fd\u7cbe\u786e\u8868\u793a\u6240\u6709\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc7 253 \u7684\u6574\u6570\u300232 \u4f4d int \u7684\u8303\u56f4\u5927\u7ea6\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-2\u00b3\u00b9 ~ 2\u00b3\u00b9 - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u663e\u7136\u8fdc\u5c0f\u4e8e 253\uff0c\u6240\u4ee5\u4efb\u610f int \u8f6c\u6210 double \u90fd\u4e0d\u4f1a\u4e22\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u5728\u91cd\u70b9\u770b\u201c\u5bf9\u9636\u65f6\u5c3e\u6570\u53f3\u79fb\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe\u6709\u4e24\u4e2a\u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A = 1.000000 \u00d7 2\u00b3\u2070\nB = 1.000000 \u00d7 2\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8981\u8ba1\u7b97 A + B\uff0c\u4e0d\u80fd\u76f4\u63a5\u628a\u5c3e\u6570\u76f8\u52a0\uff0c\u56e0\u4e3a\u9636\u7801\u4e0d\u540c\u3002\u5fc5\u987b\u5148\u628a B \u6539\u5199\u6210\u9636\u7801\u4e5f\u662f 30 \u7684\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B = 0.000000000000000000000000000001 \u00d7 2\u00b3\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0cB \u7684\u5c3e\u6570\u8981\u5411\u53f3\u79fb\u52a8 30 \u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u673a\u5668\u5c3e\u6570\u6709\u6548\u4f4d\u8db3\u591f\u591a\uff0c\u90a3\u4e48 B \u7684\u90a3\u4e2a 1 \u8fd8\u80fd\u4fdd\u7559\u4e0b\u6765\uff0c\u7ed3\u679c\u8fd8\u80fd\u4f53\u73b0\u51fa B \u7684\u8d21\u732e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u5982\u679c\u9636\u7801\u5dee\u592a\u5927\uff0c\u6bd4\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A = 1.000000 \u00d7 2\u00b9\u2070\u2070\nB = 1.000000 \u00d7 2\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\u4e3a\u4e86\u5bf9\u9636\uff0cB \u7684\u5c3e\u6570\u8981\u53f3\u79fb 100 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B = 0.000000...0001 \u00d7 2\u00b9\u2070\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u662f double \u53ea\u80fd\u4fdd\u7559\u5927\u7ea6 53 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u4f4d\u3002B \u7684\u6709\u6548\u4f4d\u88ab\u53f3\u79fb 100 \u4f4d\u4ee5\u540e\uff0c\u5df2\u7ecf\u5b8c\u5168\u8dd1\u5230\u53ef\u4fdd\u7559\u5c3e\u6570\u8303\u56f4\u4e4b\u5916\u4e86\uff0c\u673a\u5668\u4fdd\u5b58\u4e0d\u5230\u5b83\uff0c\u6240\u4ee5\u5b83\u5728\u8fd0\u7b97\u4e2d\u76f8\u5f53\u4e8e\u53d8\u6210 0\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A + B \u7684\u6d6e\u70b9\u7ed3\u679c = A\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u201c<strong>\u5c0f\u9636\u64cd\u4f5c\u6570\u5728\u53f3\u79fb\u540e\u6709\u6548\u4f4d\u5168\u90e8\u4e22\u5931\uff0c\u5bfc\u81f4\u52a0\u6cd5\u7ed3\u679c\u7b49\u4e8e\u5927\u9636\u64cd\u4f5c\u6570<\/strong>\u201d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u7528\u5341\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u7c7b\u6bd4\u3002\u5047\u8bbe\u673a\u5668\u53ea\u80fd\u4fdd\u7559 5 \u4f4d\u6709\u6548\u6570\u5b57\uff0c\u73b0\u5728\u8ba1\u7b97\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.2345 \u00d7 10\u2078 + 1.0000 \u00d7 10\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u9636\u540e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.2345 \u00d7 10\u2078\n0.00000001 \u00d7 10\u2078\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u53ea\u80fd\u4fdd\u7559 5 \u4f4d\u6709\u6548\u6570\u5b57\uff0c\u7b2c\u4e8c\u4e2a\u6570\u7684 1 \u8fdc\u8fdc\u6392\u5728\u7b2c 5 \u4f4d\u4e4b\u540e\uff0c\u76f4\u63a5\u88ab\u820d\u6389\uff0c\u6240\u4ee5\u7ed3\u679c\u8fd8\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.2345 \u00d7 10\u2078\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6570\u5b66\u4e0a\u5b83\u4eec\u5f53\u7136\u4e0d\u76f8\u7b49\uff0c\u4f46\u5728\u6709\u9650\u7cbe\u5ea6\u673a\u5668\u91cc\uff0c\u5c0f\u6570\u88ab\u201c\u5927\u6570\u5403\u6389\u201d\u4e86\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u56de\u5230\u8fd9\u9053\u9898\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u4e2d\u6709\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int x, y, z;\nsizeof(int) = 4;\ndouble \u4f7f\u7528 IEEE 754 \u53cc\u7cbe\u5ea6\u683c\u5f0f;\n\ndouble dx = (double)x;\ndouble dy = (double)y;\ndouble dz = (double)z;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bf4\u6cd5 I \u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>dx + dy == (double)(x + y)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u4e0d\u6c38\u771f\u3002\u539f\u56e0\u4e0d\u662f double \u52a0\u6cd5\u6709\u95ee\u9898\uff0c\u800c\u662f\u53f3\u8fb9\u7684 <code>x + y<\/code> \u5148\u6309\u7167 int \u8fd0\u7b97\u3002\u5982\u679c <code>x + y<\/code> \u5728 32 \u4f4d int \u4e2d\u6ea2\u51fa\uff0c\u90a3\u4e48\u53f3\u8fb9\u5f97\u5230\u7684\u662f\u6ea2\u51fa\u540e\u7684 int \u7ed3\u679c\uff0c\u518d\u8f6c\u6362\u6210 double\uff1b\u800c\u5de6\u8fb9\u662f\u5148\u628a x\u3001y \u8f6c\u6210 double\uff0c\u518d\u76f8\u52a0\uff0c\u4e0d\u4f1a\u53d1\u751f int \u6ea2\u51fa\u3002\u6240\u4ee5\u4e24\u8fb9\u53ef\u80fd\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\u76f4\u89c2\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = 2147483647\ny = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5de6\u8fb9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>dx + dy = 2147483648.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53f3\u8fb9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(int)(x + y) \u5148\u53d1\u751f 32 \u4f4d\u6709\u7b26\u53f7\u6574\u6570\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u7ed3\u679c\u53ef\u80fd\u4e0d\u7b49\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bf4\u6cd5 II \u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(dx + dy) + dz == dx + (dy + dz)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9053\u9898\u91cc\u5b83\u6c38\u771f\uff0c\u5173\u952e\u539f\u56e0\u662f\uff1a<code>dx\u3001dy\u3001dz<\/code> \u90fd\u6765\u81ea 32 \u4f4d int\uff0c\u800c double \u7684\u7cbe\u5ea6\u8db3\u591f\u5927\uff0c\u80fd\u591f\u7cbe\u786e\u8868\u793a\u5b83\u4eec\u4ee5\u53ca\u5b83\u4eec\u4e24\u4e24\u76f8\u52a0\u3001\u4e09\u8005\u76f8\u52a0\u7684\u7ed3\u679c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u5927\u60c5\u51b5\u4e0b\uff0c\u4e09\u4e2a 32 \u4f4d int \u7684\u548c\u7684\u7edd\u5bf9\u503c\u4e5f\u53ea\u662f 2\u00b3\u00b3 \u91cf\u7ea7\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>|x + y + z| &lt; 3 \u00d7 2\u00b3\u00b9 &lt; 2\u00b3\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c double \u80fd\u7cbe\u786e\u8868\u793a\u4e0d\u8d85\u8fc7 253 \u7684\u6574\u6570\uff0c\u6240\u4ee5\u8fd9\u4e9b\u4e2d\u95f4\u7ed3\u679c\u90fd\u4e0d\u4f1a\u820d\u5165\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u8fd9\u91cc\u867d\u7136\u5f62\u5f0f\u4e0a\u662f\u6d6e\u70b9\u52a0\u6cd5\uff0c\u6309\u4e00\u822c\u89c4\u5f8b\u6d6e\u70b9\u52a0\u6cd5\u201c\u4e0d\u4e00\u5b9a\u6ee1\u8db3\u7ed3\u5408\u5f8b\u201d\uff0c\u4f46\u672c\u9898\u7684\u64cd\u4f5c\u6570\u8303\u56f4\u592a\u5c0f\uff0cdouble \u7cbe\u5ea6\u8db3\u591f\uff0c\u6240\u6709\u7ed3\u679c\u90fd\u80fd\u7cbe\u786e\u8868\u793a\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(dx + dy) + dz\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u548c<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>dx + (dy + dz)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90fd\u4f1a\u7cbe\u786e\u5f97\u5230\u540c\u4e00\u4e2a\u6570\u5b66\u6574\u6570\u7ed3\u679c\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b98\u65b9\u7b54\u6848\u4e2d\u90a3\u53e5\u201c\u5bf9\u9636\u65f6\u5c3e\u6570\u79fb\u52a8\u4f4d\u6570\u4e0d\u4f1a\u8d85\u8fc7 52 \u4f4d\uff0c\u56e0\u6b64\u5c3e\u6570\u4e0d\u4f1a\u820d\u5165\uff0c\u4e0d\u4f1a\u53d1\u751f\u5927\u6570\u5403\u5c0f\u6570\u201d\uff0c\u610f\u601d\u662f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u4e2d\u7684\u6570\u90fd\u6765\u81ea 32 \u4f4d int\uff0c\u8f6c\u6362\u6210 double \u540e\uff0c\u6307\u6570\u8303\u56f4\u5927\u81f4\u4e0d\u4f1a\u8d85\u8fc7 31 \u6216 32 \u8fd9\u4e2a\u91cf\u7ea7\u3002\u5373\u4f7f\u4e2d\u95f4\u7ed3\u679c\u53c2\u4e0e\u4e0b\u4e00\u6b21\u52a0\u6cd5\uff0c\u4e5f\u53ea\u5230 33 \u4f4d\u5de6\u53f3\u3002\u800c double \u6709 53 \u4f4d\u6709\u6548\u7cbe\u5ea6\uff0c\u6240\u4ee5\u5c0f\u9636\u6570\u5728\u5bf9\u9636\u53f3\u79fb\u65f6\uff0c\u4e0d\u4f1a\u88ab\u6574\u4f53\u79fb\u51fa\u6709\u6548\u5c3e\u6570\u8303\u56f4\u3002\u5b83\u7684\u6709\u6548\u4f4d\u8fd8\u80fd\u88ab\u4fdd\u7559\u4e0b\u6765\uff0c\u56e0\u6b64\u4e0d\u4f1a\u51fa\u73b0\u201c\u5927\u6570 + \u5c0f\u6570 = \u5927\u6570\u201d\u7684\u7cbe\u5ea6\u541e\u566c\u73b0\u8c61\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ce8\u610f\u8fd9\u91cc\u66f4\u4e25\u8c28\u5730\u8bf4\uff0cdouble \u7684\u6709\u6548\u5c3e\u6570\u4f4d\u5bbd\u5e94\u7406\u89e3\u4e3a 53 \u4f4d\uff0c\u800c\u4e0d\u662f\u5355\u7eaf\u7684 52 \u4f4d\u300252 \u4f4d\u662f\u663e\u5f0f\u5b58\u50a8\u7684\u5c3e\u6570\u5b57\u6bb5\uff0c\u89c4\u683c\u5316\u6570\u8fd8\u9690\u542b\u4e86\u6700\u9ad8\u4f4d 1\u3002408 \u505a\u9898\u65f6\u7ecf\u5e38\u8981\u8bb0\u4f4f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float\uff1a\u6709\u6548\u7cbe\u5ea6 24 \u4f4d = \u9690\u85cf\u4f4d 1 \u4f4d + \u5c3e\u6570\u5b57\u6bb5 23 \u4f4d\ndouble\uff1a\u6709\u6548\u7cbe\u5ea6 53 \u4f4d = \u9690\u85cf\u4f4d 1 \u4f4d + \u5c3e\u6570\u5b57\u6bb5 52 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u90a3\u53e5\u4e2d\u7684\u201c24153\u4f4d\u201d\u5e94\u8be5\u7406\u89e3\u4e3a\u201cfloat \u662f 24 \u4f4d\u6709\u6548\u7cbe\u5ea6\uff0cdouble \u662f 53 \u4f4d\u6709\u6548\u7cbe\u5ea6\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u7684\u5feb\u901f\u5224\u65ad\u65b9\u6cd5\u662f\uff1a\u5148\u770b\u662f\u4e0d\u662f\u6574\u6570\u5148\u6ea2\u51fa\uff0c\u518d\u770b double \u80fd\u5426\u7cbe\u786e\u8868\u793a\u4e2d\u95f4\u6574\u6570\u7ed3\u679c\u3002\u53ea\u8981\u9898\u4e2d\u662f 32 \u4f4d int \u8f6c double\uff0c\u4e09\u4e2a\u4ee5\u5185\u7684 int \u76f8\u52a0\u90fd\u8fdc\u5c0f\u4e8e 253\uff0c\u56e0\u6b64 double \u52a0\u6cd5\u4e0d\u4f1a\u4e22\u6574\u6570\u7cbe\u5ea6\uff0c\u7ed3\u5408\u5f8b\u5728\u8fd9\u4e2a\u7279\u5b9a\u8303\u56f4\u5185\u6210\u7acb\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/2129-768x1024.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"1024\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/2129-768x1024.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2346\"  sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">21\uff5e29 \u9898\u7b54\u6848\u4f9d\u6b21\u662f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u9898\u53f7<\/th><th>\u7b54\u6848<\/th><\/tr><\/thead><tbody><tr><td>21<\/td><td>A<\/td><\/tr><tr><td>22<\/td><td>D<\/td><\/tr><tr><td>23<\/td><td>A<\/td><\/tr><tr><td>24<\/td><td>D<\/td><\/tr><tr><td>25<\/td><td>B<\/td><\/tr><tr><td>26<\/td><td>D<\/td><\/tr><tr><td>27<\/td><td>B<\/td><\/tr><tr><td>28<\/td><td>A<\/td><\/tr><tr><td>29<\/td><td>D<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u9762\u9010\u9898\u770b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">21 \u9898\uff1a\u4e8c\u7ef4 short \u6570\u7ec4\u3001\u5c0f\u7aef\u3001\u884c\u4f18\u5148\u5b58\u50a8<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>static short b&#91;2]&#91;4] = {{2,9,-1,5},{3,1,-6,2}};\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>short<\/code> \u5360 2 \u5b57\u8282\uff0c\u4e8c\u7ef4\u6570\u7ec4\u5728 C \u8bed\u8a00\u4e2d\u6309\u884c\u4f18\u5148\u5b58\u50a8\uff0c\u5373\u5b58\u50a8\u987a\u5e8f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>b&#91;0]&#91;0], b&#91;0]&#91;1], b&#91;0]&#91;2], b&#91;0]&#91;3], b&#91;1]&#91;0], b&#91;1]&#91;1], b&#91;1]&#91;2], b&#91;1]&#91;3]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9996\u5730\u5740\u662f <code>0x8049820<\/code>\uff0c\u9898\u76ee\u95ee\u5730\u5740 <code>0x804982c<\/code> \u4e2d\u7684\u5185\u5bb9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u7b97\u504f\u79fb\u91cf\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0x804982c - 0x8049820 = 0xC = 12 \u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bcf\u4e2a <code>short<\/code> \u5360 2 \u5b57\u8282\uff0c\u6240\u4ee5\u8fd9\u662f\u7b2c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>12 \/ 2 = 6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e2a short \u5143\u7d20\uff0c\u4ece 0 \u5f00\u59cb\u7f16\u53f7\uff0c\u7f16\u53f7 6 \u5bf9\u5e94\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>b&#91;1]&#91;2]\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>b&#91;1]&#91;2] = -6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">16 \u4f4d\u8865\u7801\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-6 = FFFAH\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c0f\u7aef\u65b9\u5f0f\u5b58\u50a8\u65f6\uff0c\u4f4e\u5b57\u8282\u653e\u5728\u4f4e\u5730\u5740\uff0c\u9ad8\u5b57\u8282\u653e\u5728\u9ad8\u5730\u5740\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740 0x804982c\uff1aFAH\n\u5730\u5740 0x804982d\uff1aFFH\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u672c\u9898\u9009\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A. FAH\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u5173\u952e\u662f\u4e09\u6b65\uff1a\u5148\u884c\u4f18\u5148\u5b9a\u4f4d\u5143\u7d20\uff0c\u518d\u628a\u8d1f\u6570\u5199\u6210\u8865\u7801\uff0c\u6700\u540e\u6309\u5c0f\u7aef\u5224\u65ad\u4f4e\u5730\u5740\u5185\u5bb9\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">22 \u9898\uff1aint \u6570\u636e\u7684\u5c0f\u7aef\u5b58\u50a8<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int i \u7684\u5730\u5740\u4e3a 08000000H\ni \u7684\u673a\u5668\u6570\u4e3a 01234567H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>int<\/code> \u5360 4 \u5b57\u8282\uff0c\u673a\u5668\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01 23 45 67\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u6309\u4ece\u9ad8\u5b57\u8282\u5230\u4f4e\u5b57\u8282\u5199\u51fa\u6765\u7684\u903b\u8f91\u8868\u793a\u3002\u5c0f\u7aef\u65b9\u5f0f\u5b58\u50a8\u65f6\uff0c\u6700\u4f4e\u6709\u6548\u5b57\u8282\u653e\u5728\u6700\u4f4e\u5730\u5740\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5185\u5b58\u4e2d\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>08000000H\uff1a67H\n08000001H\uff1a45H\n08000002H\uff1a23H\n08000003H\uff1a01H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u95ee\u5730\u5740 <code>08000000H<\/code> \u5355\u5143\u7684\u5185\u5bb9\uff0c\u56e0\u6b64\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>67H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>D. 67H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u53ea\u8981\u8bb0\u4f4f\u4e00\u53e5\u8bdd\uff1a\u5c0f\u7aef\uff0c\u4f4e\u5730\u5740\u5b58\u4f4e\u5b57\u8282\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c22\u9898\u91cc\u9762\u6700\u4f4e\u6709\u6548\u5b57\u8282\u662f\u600e\u4e48\u7406\u89e3\u7684\uff1f\u628a\u5b83\u5f53\u6570\u7684\u7ed3\u5c3e<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u628a\u201c\u6700\u4f4e\u6709\u6548\u5b57\u8282\u201d\u7c97\u7565\u7406\u89e3\u6210\u201c\u8fd9\u4e2a\u6570\u5199\u6210\u5341\u516d\u8fdb\u5236\u65f6\u6700\u53f3\u8fb9\u7684\u90a3 1 \u4e2a\u5b57\u8282\u201d\uff0c\u4e5f\u5c31\u662f\u4f60\u8bf4\u7684\u201c\u6570\u7684\u7ed3\u5c3e\u201d\u3002\u4f46\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u5b83\u4e0d\u662f\u201c\u89c6\u89c9\u4e0a\u7684\u7ed3\u5c3e\u201d\uff0c\u800c\u662f<strong>\u6743\u503c\u6700\u4f4e\u3001\u5bf9\u6570\u503c\u5f71\u54cd\u6700\u5c0f\u7684\u90a3\u4e2a\u5b57\u8282<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u7b2c 22 \u9898\u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i \u7684\u673a\u5668\u6570 = 01234567H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u4e00\u4e2a 32 \u4f4d int\uff0c\u5360 4 \u5b57\u8282\u3002\u6bcf 2 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\u662f 1 \u5b57\u8282\uff0c\u6240\u4ee5\u53ef\u4ee5\u62c6\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01   23   45   67\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u6570\u503c\u6743\u503c\u770b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01234567H = 01H \u00d7 16^6 + 23H \u00d7 16^4 + 45H \u00d7 16^2 + 67H \u00d7 16^0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>67H<\/code> \u4e58\u7684\u662f <code>16^0<\/code>\uff0c\u6743\u503c\u6700\u4f4e\uff0c\u6240\u4ee5 <code>67H<\/code> \u5c31\u662f<strong>\u6700\u4f4e\u6709\u6548\u5b57\u8282<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u5730\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01H\uff1a\u6700\u9ad8\u6709\u6548\u5b57\u8282\n67H\uff1a\u6700\u4f4e\u6709\u6548\u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u53ef\u4ee5\u6362\u6210\u5341\u8fdb\u5236\u7c7b\u6bd4\u3002\u6bd4\u5982\u5341\u8fdb\u5236\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>123456\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u6700\u53f3\u8fb9\u7684 <code>6<\/code> \u662f\u4e2a\u4f4d\uff0c\u6743\u503c\u6700\u4f4e\uff1b\u6700\u5de6\u8fb9\u7684 <code>1<\/code> \u662f\u5341\u4e07\u4f4d\uff0c\u6743\u503c\u6700\u9ad8\u3002\u5341\u516d\u8fdb\u5236\u6570\u4e5f\u662f\u4e00\u6837\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01234567H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u53f3\u8fb9\u7684 <code>67H<\/code> \u662f\u6700\u4f4e\u7684 1 \u5b57\u8282\uff0c\u7c7b\u4f3c\u201c\u4e2a\u4f4d\u6240\u5728\u7684\u90e8\u5206\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5bf9\u4e8e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01234567H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u62c6\u5b57\u8282\u540e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9ad8\u5b57\u8282                                  \u4f4e\u5b57\u8282\n01H          23H          45H          67H\n\u6700\u9ad8\u6709\u6548\u5b57\u8282                         \u6700\u4f4e\u6709\u6548\u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u201c\u5c0f\u7aef\u65b9\u5f0f\u201d\u7684\u89c4\u5219\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f4e\u5730\u5740\u5b58\u653e\u6700\u4f4e\u6709\u6548\u5b57\u8282\n\u9ad8\u5730\u5740\u5b58\u653e\u6700\u9ad8\u6709\u6548\u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5185\u5b58\u4e2d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740 08000000H\uff1a67H\n\u5730\u5740 08000001H\uff1a45H\n\u5730\u5740 08000002H\uff1a23H\n\u5730\u5740 08000003H\uff1a01H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c 22 \u9898\u95ee\u5730\u5740 <code>08000000H<\/code> \u5355\u5143\u5185\u5bb9\uff0c\u5c31\u662f <code>67H<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8003\u7814\u9898\u91cc\u53ef\u4ee5\u76f4\u63a5\u8bb0\u6210\u4e00\u53e5\u8bdd\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u5199\u6210\u5341\u516d\u8fdb\u5236\u540e\uff0c\u6700\u53f3\u8fb9\u7684\u4e24\u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\u5c31\u662f\u6700\u4f4e\u6709\u6548\u5b57\u8282\u3002\n\u5c0f\u7aef\uff1a\u6700\u4f4e\u6709\u6548\u5b57\u8282\u653e\u4f4e\u5730\u5740\u3002\n\u5927\u7aef\uff1a\u6700\u9ad8\u6709\u6548\u5b57\u8282\u653e\u4f4e\u5730\u5740\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4f60\u8bf4\u201c\u628a\u5b83\u5f53\u6570\u7684\u7ed3\u5c3e\u201d\u57fa\u672c\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff0c\u4f46\u6700\u597d\u518d\u8865\u4e00\u53e5\uff1a\u8fd9\u4e2a\u201c\u7ed3\u5c3e\u201d\u6307\u7684\u662f<strong>\u6309\u901a\u5e38\u5341\u516d\u8fdb\u5236\u4e66\u5199\u65f6\u6700\u53f3\u8fb9\u7684\u5b57\u8282\uff0c\u4e5f\u5c31\u662f\u6743\u503c\u6700\u4f4e\u7684\u5b57\u8282<\/strong>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">23 \u9898\uff1a\u7ed3\u6784\u4f53\u8fb9\u754c\u5bf9\u9f50<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u6784\u4f53\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct cont_info {\n    char id;\n    unsigned post;\n    char phone;\n} x;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 32 \u4f4d\u673a\u5668\u4e2d\uff0c\u901a\u5e38\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>char \u5360 1 \u5b57\u8282\uff0c\u6309 1 \u5b57\u8282\u5bf9\u9f50\nunsigned int \u5360 4 \u5b57\u8282\uff0c\u6309 4 \u5b57\u8282\u5bf9\u9f50\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5047\u8bbe <code>x<\/code> \u7684\u9996\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0x8049820\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6309\u8fb9\u754c\u5bf9\u9f50\u5206\u914d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>offset 0\uff1achar id\uff0c\u5360 1 \u5b57\u8282\noffset 1~3\uff1a\u586b\u5145 3 \u5b57\u8282\uff0c\u4f7f post \u4ece 4 \u5b57\u8282\u8fb9\u754c\u5f00\u59cb\noffset 4~7\uff1aunsigned post\uff0c\u5360 4 \u5b57\u8282\noffset 8\uff1achar phone\uff0c\u5360 1 \u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 <code>phone<\/code> \u7684\u8d77\u59cb\u504f\u79fb\u91cf\u662f 8\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5730\u5740\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0x8049820 + 8 = 0x8049828\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A. 0x8049828\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u5bb9\u6613\u9519\u5728\u4ee5\u4e3a <code>char id<\/code> \u540e\u9762\u7acb\u523b\u63a5 <code>unsigned post<\/code>\uff0c\u5f97\u5230 <code>0x8049825<\/code> \u6216 <code>0x8049826<\/code>\u3002\u4f46\u7ed3\u6784\u4f53\u6210\u5458\u8981\u6ee1\u8db3\u8fb9\u754c\u5bf9\u9f50\uff0c<code>unsigned<\/code> \u4e0d\u80fd\u968f\u4fbf\u653e\u5728\u4efb\u610f\u5730\u5740\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">24 \u9898\uff1aC \u8bed\u8a00\u7c7b\u578b\u8f6c\u6362\u4e0e\u6d6e\u70b9\u7cbe\u5ea6<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int i = 12345\nfloat f = 1.2345 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5373\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f = 9.876\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u95ee\u54ea\u4e2a\u8868\u8fbe\u5f0f\u7ed3\u679c\u4e3a\u201c\u5047\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9010\u9879\u5224\u65ad\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i == (int)(double)i\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>int<\/code> \u8f6c <code>double<\/code>\uff0c\u518d\u8f6c\u56de <code>int<\/code>\u3002<code>double<\/code> \u6709 53 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u4f4d\uff0c\u53ef\u4ee5\u7cbe\u786e\u8868\u793a 32 \u4f4d int \u4e2d\u7684\u6240\u6709\u6574\u6570\uff0c\u6240\u4ee5 <code>12345<\/code> \u4e0d\u4f1a\u4e22\u5931\u7cbe\u5ea6\u3002A \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f == (float)(double)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>f<\/code> \u672c\u6765\u5c31\u662f\u4e00\u4e2a <code>float<\/code> \u503c\u3002<code>float<\/code> \u8f6c <code>double<\/code> \u662f\u7cbe\u786e\u8f6c\u6362\uff0c\u518d\u8f6c\u56de <code>float<\/code>\uff0c\u4ecd\u7136\u662f\u539f\u6765\u7684 float \u503c\u3002B \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i == (int)(float)i\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>float<\/code> \u6709 24 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u4f4d\uff0c\u53ef\u4ee5\u7cbe\u786e\u8868\u793a\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc7 <code>2^24<\/code> \u7684\u6574\u6570\u3002<code>12345<\/code> \u8fdc\u5c0f\u4e8e <code>2^24<\/code>\uff0c\u6240\u4ee5 <code>int -&gt; float -&gt; int<\/code> \u4e0d\u4f1a\u6539\u53d8\u503c\u3002C \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f == (float)(int)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>f = 9.876<\/code>\uff0c\u5f3a\u5236\u8f6c\u6362\u4e3a <code>int<\/code> \u4f1a\u622a\u65ad\u5c0f\u6570\u90e8\u5206\uff0c\u5f97\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(int)f = 9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u8f6c\u4e3a float\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(float)(int)f = 9.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u663e\u7136\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>9.876 != 9.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 D \u4e3a\u5047\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>D\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u8981\u6293\u4f4f\u4e24\u4e2a\u70b9\uff1a\u6574\u6570\u8f6c float \u662f\u5426\u8d85\u8fc7 <code>2^24<\/code>\uff0c\u6d6e\u70b9\u6570\u8f6c int \u4f1a\u622a\u65ad\u5c0f\u6570\u90e8\u5206\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">25 \u9898\uff1aC \u8868\u8fbe\u5f0f\u6c42\u503c\u4e0e\u6574\u6570\u9664\u6cd5<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee3\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int m = 13;\nfloat a = 12.6, x;\nx = m \/ 2 + a \/ 2;\nprintf(\"%f\\n\", x);\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u91cd\u70b9\u5728\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>m \/ 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a <code>m<\/code> \u662f <code>int<\/code>\uff0c<code>2<\/code> \u4e5f\u662f <code>int<\/code>\uff0c\u6240\u4ee5\u8fd9\u91cc\u662f\u6574\u6570\u9664\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>13 \/ 2 = 6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u662f <code>6.5<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u770b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>a \/ 2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>a<\/code> \u662f <code>float<\/code>\uff0c\u6240\u4ee5 <code>2<\/code> \u4f1a\u8f6c\u6362\u4e3a <code>float<\/code>\uff0c\u505a\u6d6e\u70b9\u9664\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>12.6 \/ 2 = 6.3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = 6 + 6.3 = 12.3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>printf(\"%f\\n\", x)<\/code> \u9ed8\u8ba4\u8f93\u51fa 6 \u4f4d\u5c0f\u6570\uff0c\u6240\u4ee5\u8f93\u51fa\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>12.300000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. 12.300000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u6700\u5bb9\u6613\u9519\u9009 <code>12.800000<\/code>\uff0c\u539f\u56e0\u662f\u628a <code>m \/ 2<\/code> \u9519\u5f53\u6210\u4e86 <code>6.5<\/code>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">26 \u9898\uff1a\u6d6e\u70b9\u52a0\u6cd5\u3001\u89c4\u683c\u5316\u4e0e\u9636\u7801\u6ea2\u51fa<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X = 2^7 \u00d7 29\/32\nY = 2^5 \u00d7 5\/8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u548c\u5c3e\u6570\u5747\u91c7\u7528\u8865\u7801\u8868\u793a\uff0c\u9636\u7801 5 \u4f4d\u3001\u5c3e\u6570 7 \u4f4d\uff0c\u5e76\u4e14\u90fd\u5305\u542b 2 \u4f4d\u7b26\u53f7\u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u628a\u5c3e\u6570\u5199\u6210\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>29\/32 = 0.11101\u2082\n5\/8 = 0.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X = 2^7 \u00d7 0.11101\u2082\nY = 2^5 \u00d7 0.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u505a\u6d6e\u70b9\u52a0\u6cd5\uff0c\u5148\u5bf9\u9636\u3002X \u7684\u9636\u7801\u662f 7\uff0cY \u7684\u9636\u7801\u662f 5\uff0c\u6240\u4ee5\u8981\u628a Y \u7684\u9636\u7801\u63d0\u9ad8\u5230 7\uff0c\u5c3e\u6570\u53f3\u79fb 2 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Y = 2^7 \u00d7 0.00101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u76f8\u52a0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>  0.11101\n+ 0.00101\n= 1.00010\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u7ed3\u679c\u5c3e\u6570\u4e0d\u7b26\u5408\u89c4\u683c\u5316\u8981\u6c42\uff0c\u9700\u8981\u53f3\u89c4\u4e00\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00010 \u00d7 2^7 = 0.10001 \u00d7 2^8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5982\u679c\u53ea\u770b\u6570\u503c\uff0c\u7ed3\u679c\u5e94\u8be5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^8 \u00d7 0.10001\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u9009\u9879 C \u4e2d\u7684\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01000 0010001\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u672c\u9898\u4e0d\u80fd\u9009 C\uff0c\u56e0\u4e3a\u9898\u76ee\u660e\u786e\u8bf4\u9636\u7801 5 \u4f4d\uff0c\u5e76\u4e14\u5305\u542b 2 \u4f4d\u7b26\u53f7\u4f4d\u3002\u4e5f\u5c31\u662f\u8bf4\u9636\u7801\u91c7\u7528\u53d8\u5f62\u8865\u7801\uff0c\u5408\u6cd5\u7684\u6b63\u9636\u7801\u6700\u9ad8\u53ea\u80fd\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00111\uff0c\u5373 +7\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u7ed3\u679c\u9700\u8981\u9636\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176 5 \u4f4d\u5f62\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u4e24\u4f4d\u7b26\u53f7\u4f4d\u662f <code>01<\/code>\uff0c\u4e0d\u662f\u5408\u6cd5\u7684 <code>00<\/code>\uff0c\u8fd9\u8868\u793a\u9636\u7801\u6b63\u6ea2\u51fa\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u7ec8\u7ed3\u679c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u53d1\u751f\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>D\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u5751\u975e\u5e38\u5178\u578b\uff1a\u53ea\u505a\u6570\u503c\u8ba1\u7b97\u4f1a\u5f97\u5230 C\uff0c\u4f46\u8003\u70b9\u5728\u201c\u53cc\u7b26\u53f7\u4f4d\u8865\u7801\u5224\u65ad\u6ea2\u51fa\u201d\u3002\u7ed3\u679c\u9700\u8981\u9636\u7801 8\uff0c\u800c\u672c\u9898\u9636\u7801\u6700\u5927\u53ea\u80fd\u8868\u793a\u5230 7\uff0c\u56e0\u6b64\u6ea2\u51fa\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6211\u60f3\u77e5\u9053\u572826\u9898\u91cc\u9762\uff0c29\/32\u548c5\/8\u8fd9\u4e2a\u5c3e\u6570\u662f\u5982\u4f55\u5199\u6210\u4e8c\u8fdb\u5236\u7684\uff1f\u4ed6\u5230\u4e8c\u8fdb\u5236\u662f\u5e94\u8be5\u5982\u4f55\u8f6c\u6362\uff1f\u4ee5\u53ca\u63d0\u5230\u9636\u7801\u53ea\u6709\u4e94\u4f4d\uff0c\u4f46\u662f\u4f60\u9700\u8981\u516b\u4f4d\u7684\u89e3\u7801\uff0c\u90a3\u4e3a\u4ec0\u4e48\u8fd8\u8981\u5728\u540e\u7eed\u5224\u65ad\u5176\u4e94\u4f4d\u7684\u5f62\u5f0f\u4e2d\u524d\u4e24\u4f4d\u5462\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">26 \u9898\u8fd9\u91cc\u6709\u4e24\u4e2a\u70b9\u5bb9\u6613\u6df7\u5728\u4e00\u8d77\uff1a\u4e00\u4e2a\u662f<strong>\u771f\u503c\u5c0f\u6570\u600e\u4e48\u8f6c\u4e8c\u8fdb\u5236\u5c3e\u6570<\/strong>\uff0c\u53e6\u4e00\u4e2a\u662f<strong>\u53cc\u7b26\u53f7\u4f4d\u8865\u7801\u600e\u4e48\u5224\u65ad\u9636\u7801\u6ea2\u51fa<\/strong>\u3002\u5206\u5f00\u770b\u5c31\u6e05\u695a\u4e86\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. 29\/32 \u600e\u4e48\u5199\u6210\u4e8c\u8fdb\u5236\u5c3e\u6570\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u5206\u6bcd <code>32 = 2^5<\/code>\uff0c\u6240\u4ee5\u8fd9\u662f\u6700\u5bb9\u6613\u8f6c\u4e8c\u8fdb\u5236\u7684\u4e00\u7c7b\u5206\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8fdb\u5236\u5c0f\u6570\u7684\u5404\u4f4d\u6743\u503c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.1\u2082     = 1\/2\n0.01\u2082    = 1\/4\n0.001\u2082   = 1\/8\n0.0001\u2082  = 1\/16\n0.00001\u2082 = 1\/32\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u53ea\u8981\u628a\u5206\u5b50 29 \u5199\u6210 5 \u4f4d\u4e8c\u8fdb\u5236\u5373\u53ef\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>29 = 16 + 8 + 4 + 1\n   = 11101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>29\/32 = 0.11101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.11101\u2082\n= 1\/2 + 1\/4 + 1\/8 + 0\/16 + 1\/32\n= 16\/32 + 8\/32 + 4\/32 + 0\/32 + 1\/32\n= 29\/32\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X = 2^7 \u00d7 29\/32\n  = 2^7 \u00d7 0.11101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684 <code>0.11101\u2082<\/code> \u5c31\u662f X \u7684\u5c3e\u6570\u771f\u503c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. 5\/8 \u600e\u4e48\u5199\u6210\u4e8c\u8fdb\u5236\u5c3e\u6570\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u540c\u7406\uff0c<code>8 = 2^3<\/code>\uff0c\u6240\u4ee5\u53ea\u8981\u628a\u5206\u5b50 5 \u5199\u6210 3 \u4f4d\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>5 = 101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>5\/8 = 0.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u53ef\u4ee5\u6309\u6743\u503c\u9a8c\u8bc1\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.101\u2082\n= 1\/2 + 0\/4 + 1\/8\n= 4\/8 + 0\/8 + 1\/8\n= 5\/8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u9898\u76ee\u8bf4\u5c3e\u6570\u4e00\u5171 7 \u4f4d\uff0c\u5e76\u4e14\u542b 2 \u4f4d\u7b26\u53f7\u4f4d\uff0c\u6240\u4ee5\u5c3e\u6570\u7684\u5c0f\u6570\u90e8\u5206\u5b9e\u9645\u8fd8\u6709 5 \u4f4d\u3002\u4e3a\u4e86\u548c X \u7684\u5c3e\u6570\u4f4d\u6570\u5bf9\u9f50\uff0c\u901a\u5e38\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>5\/8 = 0.10100\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u540e\u9762\u8865 0 \u4e0d\u6539\u53d8\u6570\u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Y = 2^5 \u00d7 5\/8\n  = 2^5 \u00d7 0.10100\u2082\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">3. \u901a\u7528\u65b9\u6cd5\uff1a\u5341\u8fdb\u5236\u5c0f\u6570\u8f6c\u4e8c\u8fdb\u5236\u5c0f\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e <code>29\/32<\/code>\u3001<code>5\/8<\/code> \u8fd9\u79cd\u5206\u6bcd\u662f 2 \u7684\u5e42\u7684\u5206\u6570\uff0c\u76f4\u63a5\u628a\u5206\u5b50\u8f6c\u4e8c\u8fdb\u5236\u6700\u65b9\u4fbf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u5982\u679c\u9047\u5230\u4e00\u822c\u5c0f\u6570\uff0c\u6bd4\u5982 <code>0.625<\/code>\uff0c\u53ef\u4ee5\u7528\u201c\u4e58 2 \u53d6\u6574\u6cd5\u201d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.625 \u00d7 2 = 1.25   \u53d6\u6574\u6570\u90e8\u5206 1\n0.25  \u00d7 2 = 0.5    \u53d6\u6574\u6570\u90e8\u5206 0\n0.5   \u00d7 2 = 1.0    \u53d6\u6574\u6570\u90e8\u5206 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.625 = 0.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.101\u2082 = 1\/2 + 0\/4 + 1\/8 = 0.625\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u4e2d\uff0c\u6700\u5e38\u89c1\u7684\u662f\u5206\u6bcd\u4e3a <code>2^n<\/code> \u7684\u5206\u6570\u3002\u5feb\u901f\u505a\u6cd5\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>a \/ 2^n = 0.(a \u7684 n \u4f4d\u4e8c\u8fdb\u5236\u8868\u793a)\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>29\/32 = 29 \/ 2^5 = 0.11101\u2082\n5\/8   = 5 \/ 2^3  = 0.101\u2082\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">4. \u4e3a\u4ec0\u4e48 X + Y \u4e4b\u540e\u8981\u5bf9\u9636\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u5728\u6709\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X = 2^7 \u00d7 0.11101\u2082\nY = 2^5 \u00d7 0.10100\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u52a0\u6cd5\u4e0d\u80fd\u76f4\u63a5\u52a0\u5c3e\u6570\uff0c\u5fc5\u987b\u5148\u628a\u9636\u7801\u8c03\u6210\u4e00\u6837\u3002\u4e00\u822c\u5411\u5927\u9636\u5bf9\u9f50\uff0c\u6240\u4ee5\u628a Y \u7684\u9636\u7801\u4ece 5 \u8c03\u5230 7\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u589e\u52a0 2\uff0c\u5c3e\u6570\u5c31\u8981\u53f3\u79fb 2 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Y = 2^5 \u00d7 0.10100\u2082\n  = 2^7 \u00d7 0.00101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>X + Y\n= 2^7 \u00d7 0.11101\u2082 + 2^7 \u00d7 0.00101\u2082\n= 2^7 \u00d7 (0.11101\u2082 + 0.00101\u2082)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u76f8\u52a0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>  0.11101\n+ 0.00101\n= 1.00010\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u679c\u5c3e\u6570\u53d8\u6210\u4e86 <code>1.00010\u2082<\/code>\uff0c\u8fd9\u4e0d\u662f\u89c4\u683c\u5316\u7684\u5c0f\u6570\u5c3e\u6570\u5f62\u5f0f\uff0c\u6240\u4ee5\u8981\u53f3\u89c4\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53f3\u89c4\u4e00\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00010\u2082 \u00d7 2^7 = 0.10001\u2082 \u00d7 2^8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4ece\u6570\u5b66\u771f\u503c\u770b\uff0c\u7ed3\u679c\u5e94\u8be5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^8 \u00d7 0.10001\u2082\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">5. \u201c\u9636\u7801\u53ea\u6709 5 \u4f4d\uff0c\u4e3a\u4ec0\u4e48\u8fd8\u8981\u770b\u524d\u4e24\u4f4d\uff1f\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u4e0d\u662f\u8bf4\u201c\u9700\u8981 8 \u4f4d\u9636\u7801\u201d\uff0c\u800c\u662f\u8bf4<strong>\u7ed3\u679c\u7684\u9636\u7801\u771f\u503c\u9700\u8981\u7b49\u4e8e +8<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7ed3\u679c\u9636\u7801\u771f\u503c = +8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u9898\u76ee\u89c4\u5b9a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u4f4d\u6570\u4e3a 5 \u4f4d\uff0c\u4e14\u542b 2 \u4f4d\u7b26\u53f7\u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u53eb\u201c\u53cc\u7b26\u53f7\u4f4d\u8865\u7801\u201d\u6216\u201c\u53d8\u5f62\u8865\u7801\u201d\u3002\u5b83\u4e0d\u662f\u666e\u901a 5 \u4f4d\u8865\u7801\u90a3\u6837\u53ef\u4ee5\u8868\u793a\u5230 <code>+15<\/code>\uff0c\u800c\u662f\u7528\u6700\u9ad8\u4e24\u4f4d\u4e00\u8d77\u4f5c\u4e3a\u7b26\u53f7\u5224\u65ad\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e 5 \u4f4d\u53cc\u7b26\u53f7\u4f4d\u8865\u7801\uff0c\u7ed3\u6784\u53ef\u4ee5\u7406\u89e3\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d \u7b26\u53f7\u4f4d \u6570\u503c\u4f4d \u6570\u503c\u4f4d \u6570\u503c\u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S1 S2 xxx\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5408\u6cd5\u7ed3\u679c\u8981\u6c42\u4e24\u4e2a\u7b26\u53f7\u4f4d\u76f8\u540c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00\uff1a\u6b63\u6570\uff0c\u672a\u6ea2\u51fa\n11\uff1a\u8d1f\u6570\uff0c\u672a\u6ea2\u51fa\n01\uff1a\u6b63\u6ea2\u51fa\n10\uff1a\u8d1f\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a 5 \u4f4d\u91cc\u9762\u6709 2 \u4f4d\u7b26\u53f7\u4f4d\uff0c\u771f\u6b63\u7528\u4e8e\u8868\u793a\u6570\u503c\u8303\u56f4\u7684\u53ea\u6709\u540e\u9762 3 \u4f4d\uff0c\u6240\u4ee5\u9636\u7801\u80fd\u8868\u793a\u7684\u5408\u6cd5\u6b63\u6570\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00000 = 0\n00001 = 1\n00010 = 2\n00011 = 3\n00100 = 4\n00101 = 5\n00110 = 6\n00111 = 7\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u5927\u5408\u6cd5\u6b63\u9636\u7801\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+7 = 00111\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u672c\u9898\u8ba1\u7b97\u540e\u9700\u8981\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801 = +8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u786c\u628a <code>+8<\/code> \u5199\u6210 5 \u4f4d\u4e8c\u8fdb\u5236\u5f62\u5f0f\uff0c\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u5728\u770b\u6700\u9ad8\u4e24\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53cc\u7b26\u53f7\u4f4d\u4e3a <code>01<\/code>\uff0c\u8fd9\u4e0d\u662f\u5408\u6cd5\u6b63\u6570\u7684 <code>00<\/code>\uff0c\u800c\u662f<strong>\u6b63\u6ea2\u51fa<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u672c\u9898\u6700\u7ec8\u4e0d\u80fd\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01000 0010001\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u867d\u7136\u5b83\u4ece\u201c\u6570\u503c\u63a8\u5bfc\u201d\u4e0a\u770b\u50cf\u662f <code>2^8 \u00d7 0.10001\u2082<\/code>\uff0c\u4f46\u9636\u7801\u90e8\u5206 <code>01000<\/code> \u5df2\u7ecf\u6ea2\u51fa\u4e86\u3002\u56e0\u6b64\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u53d1\u751f\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">6. \u8fd9\u91cc\u7684\u5173\u952e\u533a\u522b<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u95ee\u7684\u70b9\u672c\u8d28\u4e0a\u662f\u8fd9\u4e2a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u201c\u9636\u7801\u771f\u503c\u4e3a +8\u201d \u2260 \u201c\u9636\u7801\u9700\u8981 8 \u4f4d\u201d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u4e0d\u662f\u8bf4\u8981\u7528 8 \u4f4d\u6765\u5b58\u9636\u7801\uff0c\u800c\u662f\u8ba1\u7b97\u7ed3\u679c\u7684\u6307\u6570\u53d8\u6210\u4e86 <code>+8<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u9898\u76ee\u53ea\u7ed9\u9636\u7801 5 \u4f4d\uff0c\u5e76\u4e14\u5176\u4e2d\u8fd8\u6709 2 \u4f4d\u7b26\u53f7\u4f4d\uff0c\u6240\u4ee5\u5b83\u7684\u6700\u5927\u5408\u6cd5\u6b63\u9636\u7801\u53ea\u80fd\u5230 <code>+7<\/code>\u3002\u5f53\u7ed3\u679c\u9700\u8981 <code>+8<\/code> \u65f6\uff0c\u7f16\u7801\u6210 5 \u4f4d\u4f1a\u51fa\u73b0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u4e24\u4f4d\u662f <code>01<\/code>\uff0c\u8bf4\u660e\u53d1\u751f\u6b63\u6ea2\u51fa\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5224\u65ad\u903b\u8f91\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5148\u7b97\u51fa\u7ed3\u679c\u9700\u8981\u9636\u7801 +8\n\u518d\u68c0\u67e5 +8 \u80fd\u4e0d\u80fd\u7528\u9898\u76ee\u89c4\u5b9a\u7684 5 \u4f4d\u53cc\u7b26\u53f7\u4f4d\u8865\u7801\u5408\u6cd5\u8868\u793a\n\u53d1\u73b0 01000 \u7684\u53cc\u7b26\u53f7\u4f4d\u4e3a 01\n\u56e0\u6b64\u9636\u7801\u6b63\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48\u8fd8\u8981\u770b\u4e94\u4f4d\u5f62\u5f0f\u7684\u524d\u4e24\u4f4d\u3002\u56e0\u4e3a\u201c\u53cc\u7b26\u53f7\u4f4d\u8865\u7801\u201d\u7684\u6ea2\u51fa\u5224\u65ad\u5c31\u662f\u770b\u6700\u9ad8\u4e24\u4f4d\u662f\u5426\u76f8\u540c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">27 \u9898\uff1aint\u3001float\u3001double \u8f6c\u6362\u5173\u7cfb\u5224\u65ad<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int i = -785\nfloat f = 1.5678E3\ndouble d = 1.5E100\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5373\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f = 1567.8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5224\u65ad\u56db\u4e2a\u8868\u8fbe\u5f0f\u54ea\u4e9b\u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i == (int)(float)i\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>i = -785<\/code>\uff0c\u5176\u7edd\u5bf9\u503c\u8fdc\u5c0f\u4e8e <code>2^24<\/code>\uff0cfloat \u53ef\u4ee5\u7cbe\u786e\u8868\u793a\u8fd9\u4e2a\u6574\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(int)(float)(-785) = -785\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">I \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">II\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f == (float)(int)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>f = 1567.8<\/code>\uff0c\u5148\u8f6c int \u4f1a\u622a\u65ad\u5c0f\u6570\u90e8\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(int)f = 1567\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u8f6c float\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(float)(int)f = 1567.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u539f\u6765\u7684 <code>f<\/code> \u7ea6\u4e3a <code>1567.8<\/code>\uff0c\u4e24\u8005\u4e0d\u76f8\u7b49\u3002II \u4e3a\u5047\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">III\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f == (float)(double)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>float<\/code> \u8f6c <code>double<\/code> \u662f\u7cbe\u786e\u7684\uff0c\u56e0\u4e3a double \u7cbe\u5ea6\u66f4\u9ad8\uff1b\u518d\u8f6c\u56de float\uff0c\u4ecd\u7136\u5f97\u5230\u539f\u6765\u7684 float \u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 III \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IV\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(d + f) - d == f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>d = 1.5E100<\/code> \u975e\u5e38\u5927\uff0c<code>f = 1567.8<\/code> \u76f8\u6bd4\u5b83\u6781\u5c0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u6d6e\u70b9\u52a0\u6cd5\u4e2d\uff0c\u5927\u6570\u548c\u5c0f\u6570\u76f8\u52a0\u65f6\uff0c\u5982\u679c\u9636\u7801\u5dee\u592a\u5927\uff0c\u5c0f\u6570\u4f1a\u5728\u5bf9\u9636\u53f3\u79fb\u8fc7\u7a0b\u4e2d\u88ab\u5b8c\u5168\u4e22\u5931\u3002\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>d + f \u2248 d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(d + f) - d \u2248 d - d = 0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u7b49\u4e8e <code>f<\/code>\u3002IV \u4e3a\u5047\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e3a\u771f\u7684\u53ea\u6709 I \u548c III\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>B. \u4ec5 I \u548c III\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u8003\u67e5\u7684\u662f\u4e24\u4e2a\u7ecf\u5178\u7ed3\u8bba\uff1afloat \u80fd\u7cbe\u786e\u8868\u793a 24 \u4f4d\u4ee5\u5185\u7684\u6574\u6570\uff1b\u5927\u6d6e\u70b9\u6570\u52a0\u5f88\u5c0f\u7684\u6d6e\u70b9\u6570\u65f6\uff0c\u5c0f\u6570\u53ef\u80fd\u88ab\u201c\u5403\u6389\u201d\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">27\u9898\u91cc\u9762\u56e0\u4e3a\u65e0\u8bba\u662fint\u8fd8\u662ffloat\u548cdouble\u578b\uff0c\u5b83\u4eec\u7684\u6570\u4f4d\u90fd\u662f\u5f88\u5927\u7684\uff0c\u6240\u4ee5\u8bf4\u5b83\u4eec\u7684\u8303\u56f4\u4e5f\u4f1a\u8ddf\u7740\u5927\uff0c\u4f46\u6240\u4ee5\u6211\u5c31\u60f3\u77e5\u9053\u5b83\u5728\u8fd9\u91cc\u662f\u4e0d\u662f\u8ddf\u4e4b\u524d\u5b66\u7684\u8865\u7801\u6e90\u7801\u8054\u7cfb\u5df2\u7ecf\u4e0d\u5927\u4e86\uff0c\u90a3\u6211\u4eec\u4e4b\u524d\u5b66\u7684\u8865\u7801\u53cd\u7801\u8ddf\u5b83\u6709\u4ec0\u4e48\u5173\u7cfb\u5462\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a**\u7b2c 27 \u9898\u4e3b\u8981\u5df2\u7ecf\u4e0d\u662f\u5728\u8003\u201c\u8865\u7801\u3001\u53cd\u7801\u3001\u539f\u7801\u4e4b\u95f4\u7684\u7f16\u7801\u8f6c\u6362\u201d\uff0c\u800c\u662f\u5728\u8003 C \u8bed\u8a00\u6570\u503c\u7c7b\u578b\u8f6c\u6362 + IEEE 754 \u6d6e\u70b9\u6570\u7684\u8303\u56f4\u548c\u7cbe\u5ea6\u3002**\u4f46\u662f\u5b83\u548c\u524d\u9762\u5b66\u7684\u8865\u7801\u3001\u79fb\u7801\u5e76\u4e0d\u662f\u5b8c\u5168\u6ca1\u5173\u7cfb\uff0c\u800c\u662f\u5173\u7cfb\u53d8\u6210\u4e86\u201c\u5e95\u5c42\u8868\u793a\u65b9\u5f0f\u4e0d\u540c\uff0c\u5404\u7ba1\u5404\u7684\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c<code>int<\/code> \u4ecd\u7136\u901a\u5e38\u7528\u8865\u7801\u8868\u793a\uff1b<code>float<\/code>\u3001<code>double<\/code> \u4e0d\u7528\u8865\u7801\u76f4\u63a5\u8868\u793a\u6574\u4e2a\u6570\uff0c\u800c\u662f\u7528 IEEE 754 \u7684\u201c\u7b26\u53f7\u4f4d + \u9636\u7801 + \u5c3e\u6570\u201d\u8868\u793a\u3002\u4e24\u8005\u4e4b\u95f4\u53d1\u751f\u5f3a\u5236\u7c7b\u578b\u8f6c\u6362\u65f6\uff0c\u4e0d\u662f\u628a\u4e8c\u8fdb\u5236\u4f4d\u539f\u5c01\u4e0d\u52a8\u62ff\u8fc7\u53bb\u89e3\u91ca\uff0c\u800c\u662f\u628a\u201c\u6570\u503c\u201d\u8f6c\u6362\u6210\u53e6\u4e00\u79cd\u7f16\u7801\u5f62\u5f0f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. int\u3001float\u3001double \u7684\u201c\u8303\u56f4\u5927\u201d\u4e0d\u662f\u540c\u4e00\u4e2a\u539f\u56e0<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bb9\u6613\u6df7\u6dc6\u7684\u4e00\u70b9\u662f\uff1a\u770b\u5230 <code>int<\/code>\u3001<code>float<\/code>\u3001<code>double<\/code> \u90fd\u662f\u201c\u5f88\u591a\u4f4d\u201d\uff0c\u5c31\u4ee5\u4e3a\u5b83\u4eec\u53ea\u662f\u4f4d\u6570\u591a\u5c11\u7684\u95ee\u9898\u3002\u5b9e\u9645\u4e0a\u4e0d\u662f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e 32 \u4f4d <code>int<\/code>\uff0c\u5982\u679c\u662f\u8865\u7801\u8868\u793a\uff0c\u5b83\u7684 32 \u4f4d\u57fa\u672c\u90fd\u7528\u6765\u8868\u793a\u6574\u6570\u503c\uff0c\u6240\u4ee5\u8303\u56f4\u5927\u7ea6\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-2^31 ~ 2^31 - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u7684\u7279\u70b9\u662f\uff1a<strong>\u8303\u56f4\u4e0d\u7b97\u7279\u522b\u5927\uff0c\u4f46\u5728\u8303\u56f4\u5185\u6bcf\u4e00\u4e2a\u6574\u6570\u90fd\u80fd\u7cbe\u786e\u8868\u793a\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0, 1, 2, 3, ..., 12345, ..., 2147483647\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u6574\u6570\u53ea\u8981\u5728\u8303\u56f4\u5185\uff0c\u90fd\u53ef\u4ee5\u9010\u4e2a\u7cbe\u786e\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 32 \u4f4d <code>float<\/code> \u4e0d\u662f\u8fd9\u6837\u3002IEEE 754 \u5355\u7cbe\u5ea6 float \u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u5b83\u6709\u9636\u7801\uff0c\u6240\u4ee5\u5b83\u53ef\u4ee5\u8868\u793a\u7c7b\u4f3c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.01\u2082 \u00d7 2^100\n1.11\u2082 \u00d7 2^-50\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u975e\u5e38\u5927\u6216\u975e\u5e38\u5c0f\u7684\u6570\u3002\u56e0\u6b64 <code>float<\/code> \u7684\u8303\u56f4\u6bd4 32 \u4f4d <code>int<\/code> \u5927\u5f97\u591a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u4ee3\u4ef7\u662f\uff1a<code>float<\/code> \u53ea\u6709 24 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u7cbe\u5ea6\uff0c\u5176\u4e2d\u5305\u62ec\u9690\u85cf\u4f4d 1\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c<code>float<\/code> \u4e0d\u80fd\u7cbe\u786e\u8868\u793a\u6240\u6709 32 \u4f4d\u6574\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8981\u533a\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8303\u56f4\uff1a\u80fd\u8868\u793a\u591a\u5927\u3001\u591a\u5c0f\n\u7cbe\u5ea6\uff1a\u80fd\u8868\u793a\u5f97\u591a\u7ec6\u3001\u591a\u51c6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>float<\/code> \u7684\u8303\u56f4\u5f88\u5927\uff0c\u4f46\u7cbe\u5ea6\u6709\u9650\uff1b<code>int<\/code> \u7684\u8303\u56f4\u76f8\u5bf9\u5c0f\uff0c\u4f46\u8303\u56f4\u5185\u6574\u6570\u9010\u4e2a\u7cbe\u786e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u7b2c 27 \u9898\u7684\u6838\u5fc3\u80cc\u666f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. \u8865\u7801\u3001\u539f\u7801\u3001\u53cd\u7801\u4e3b\u8981\u7ba1\u6574\u6570\uff1bIEEE 754 \u7ba1\u6d6e\u70b9\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u9762\u5b66\u7684\u539f\u7801\u3001\u53cd\u7801\u3001\u8865\u7801\uff0c\u4e3b\u8981\u662f\u4e3a\u4e86\u8868\u793a<strong>\u5b9a\u70b9\u6574\u6570<\/strong>\uff0c\u5c24\u5176\u662f\u6709\u7b26\u53f7\u6574\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982 32 \u4f4d <code>int i = -785<\/code>\uff0c\u5728\u673a\u5668\u91cc\u901a\u5e38\u7528\u8865\u7801\u5b58\u50a8\u3002\u5b83\u7684\u672c\u8d28\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>CPU \u4e2d\u7684 int \u8d1f\u6570\u901a\u5e38\u6309\u8865\u7801\u5b58\u653e\n\u8865\u7801\u9002\u5408\u6574\u6570\u52a0\u51cf\u6cd5\u8fd0\u7b97\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f <code>float f = 1.5678E3<\/code> \u548c <code>double d = 1.5E100<\/code> \u4e0d\u662f\u7528\u8865\u7801\u8868\u793a\u6574\u4e2a\u6570\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u6d6e\u70b9\u6570\u66f4\u63a5\u8fd1\u8fd9\u79cd\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^\u7b26\u53f7\u4f4d \u00d7 \u6709\u6548\u6570 \u00d7 2^\u9636\u7801\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6 float\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S\uff1a\u8868\u793a\u6b63\u8d1f\n\u9636\u7801 E\uff1a\u7528\u79fb\u7801\/\u504f\u7f6e\u5f62\u5f0f\u8868\u793a\n\u5c3e\u6570 M\uff1a\u8868\u793a\u6709\u6548\u6570\u5b57\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5bf9 <code>float<\/code> \u6765\u8bf4\uff0c\u8d1f\u6570\u4e0d\u662f\u50cf\u8865\u7801\u90a3\u6837\u201c\u5168\u90e8\u53d6\u53cd\u52a0\u4e00\u201d\u3002\u6bd4\u5982 <code>-8.25<\/code> \u7684 float \u8868\u793a\uff0c\u53ea\u662f\u7b26\u53f7\u4f4d\u53d8\u6210 1\uff0c\u9636\u7801\u548c\u5c3e\u6570\u4ecd\u7136\u8868\u793a <code>8.25<\/code> \u7684\u89c4\u683c\u5316\u5f62\u5f0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u548c\u6574\u6570\u8865\u7801\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u53ef\u4ee5\u8bb0\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int\uff1a\u91cd\u70b9\u770b\u8865\u7801\nfloat\/double\uff1a\u91cd\u70b9\u770b IEEE 754\uff0c\u7b26\u53f7\u4f4d + \u9636\u7801 + \u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">3. float\/double \u91cc\u9762\u548c\u201c\u79fb\u7801\u201d\u6709\u5173\u7cfb<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u867d\u7136 float\/double \u4e0d\u7528\u8865\u7801\u8868\u793a\u6574\u4e2a\u6570\uff0c\u4f46\u5b83\u7684\u9636\u7801\u548c\u4e4b\u524d\u5b66\u7684\u201c\u79fb\u7801\u201d\u6709\u8054\u7cfb\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u9636\u7801\u5b57\u6bb5\u6709 8 \u4f4d\uff0c\u504f\u7f6e\u503c\u662f 127\u3002\u9636\u7801\u771f\u503c E \u548c\u9636\u7801\u5b57\u6bb5 e \u7684\u5173\u7cfb\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = E + 127\nE = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982 <code>8.25 = 1.00001\u2082 \u00d7 2^3<\/code>\uff0c\u9636\u7801\u771f\u503c\u662f <code>3<\/code>\uff0c\u6240\u4ee5\u5355\u7cbe\u5ea6\u9636\u7801\u5b57\u6bb5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 + 127 = 130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u672c\u8d28\u4e0a\u5c31\u662f\u504f\u7f6e\u8868\u793a\uff0c\u548c\u524d\u9762\u5b66\u7684\u201c\u79fb\u7801\u201d\u601d\u60f3\u5f88\u63a5\u8fd1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u524d\u9762\u5b66\u7684\u5185\u5bb9\u4e0d\u662f\u6ca1\u7528\uff0c\u800c\u662f\u5206\u5de5\u53d8\u4e86\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8865\u7801\uff1a\u4e3b\u8981\u7528\u4e8e\u6709\u7b26\u53f7\u6574\u6570\n\u79fb\u7801\uff1a\u5e38\u7528\u4e8e\u6d6e\u70b9\u6570\u9636\u7801\n\u539f\u7801\u601d\u60f3\uff1a\u6d6e\u70b9\u6570\u7684\u7b26\u53f7\u4f4d + \u6570\u503c\u90e8\u5206\u6709\u70b9\u7c7b\u4f3c\u539f\u7801\u601d\u60f3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u7684\u6d6e\u70b9\u6570\u6574\u4f53\u4e0d\u80fd\u6309\u8865\u7801\u7406\u89e3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4. C \u8bed\u8a00\u5f3a\u5236\u7c7b\u578b\u8f6c\u6362\u4e0d\u662f\u201c\u4e8c\u8fdb\u5236\u4f4d\u76f4\u63a5\u6362\u89e3\u91ca\u65b9\u5f0f\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u7b2c 27 \u9898\u7279\u522b\u5bb9\u6613\u9519\u7684\u5730\u65b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i == (int)(float)i\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u4e0d\u662f\u628a <code>i<\/code> \u7684\u8865\u7801\u4f4d\u6a21\u5f0f\u76f4\u63a5\u5f53\u6210 float \u770b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int \u6570\u503c -785\n\u5148\u8f6c\u6362\u6210 float \u6570\u503c -785.0\n\u518d\u8f6c\u6362\u56de int \u6570\u503c -785\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8fd9\u4e2a\u8fc7\u7a0b\u662f\u201c\u6570\u503c\u8f6c\u6362\u201d\uff0c\u4e0d\u662f\u201c\u4f4d\u6a21\u5f0f\u91cd\u89e3\u91ca\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u662f\u4f4d\u6a21\u5f0f\u91cd\u89e3\u91ca\uff0c\u90a3\u5c31\u662f\u53e6\u4e00\u7c7b\u95ee\u9898\uff0c\u6bd4\u5982\u7528\u6307\u9488\u5f3a\u8f6c\u3001\u8054\u5408\u4f53\u3001\u5185\u5b58\u67e5\u770b\u7b49\uff0c\u8fd9\u79cd\u4e0d\u662f\u7b2c 27 \u9898\u8003\u70b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 27 \u9898\u8003\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8fd9\u4e2a\u6570\u503c\u8f6c\u8fc7\u53bb\u4f1a\u4e0d\u4f1a\u8d85\u8303\u56f4\uff1f\n\u4f1a\u4e0d\u4f1a\u4e22\u7cbe\u5ea6\uff1f\n\u518d\u8f6c\u56de\u6765\u662f\u5426\u8fd8\u80fd\u76f8\u7b49\uff1f\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">5. \u56de\u5230\u7b2c 27 \u9898\uff1a\u4e3a\u4ec0\u4e48 I \u771f\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int i = -785\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8868\u8fbe\u5f0f I\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>i == (int)(float)i\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5224\u65ad\u8fc7\u7a0b\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-785 \u662f int\uff0c\u673a\u5668\u4e2d\u901a\u5e38\u4ee5\u8865\u7801\u5b58\u50a8\n(float)i \u628a\u6570\u503c -785 \u8f6c\u6210 float\nfloat \u80fd\u7cbe\u786e\u8868\u793a -785\n\u518d\u8f6c\u56de int \u4ecd\u7136\u662f -785\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4ec0\u4e48 float \u80fd\u7cbe\u786e\u8868\u793a <code>-785<\/code>\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a float \u6709 24 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u7cbe\u5ea6\u3002\u6240\u6709\u7edd\u5bf9\u503c\u4e0d\u8d85\u8fc7 <code>2^24<\/code> \u7684\u6574\u6570\uff0cfloat \u90fd\u53ef\u4ee5\u7cbe\u786e\u8868\u793a\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>785 &lt;&lt; 2^24\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(int)(float)(-785) = -785\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64 I \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u867d\u7136 <code>i<\/code> \u5728\u673a\u5668\u91cc\u662f\u8865\u7801\uff0c\u4f46\u5224\u65ad\u662f\u5426\u76f8\u7b49\u65f6\uff0c\u91cd\u70b9\u4e0d\u662f\u8865\u7801\u600e\u4e48\u5199\uff0c\u800c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8fd9\u4e2a int \u6570\u503c\u8f6c\u6210 float \u4f1a\u4e0d\u4f1a\u4e22\u7cbe\u5ea6\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">6. \u4e3a\u4ec0\u4e48 II \u5047\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8868\u8fbe\u5f0f II\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f == (float)(int)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f = 1.5678E3 = 1567.8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6267\u884c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(int)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u8f6c\u6574\u6570\u4f1a\u622a\u65ad\u5c0f\u6570\u90e8\u5206\uff0c\u5f97\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1567\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u8f6c\u56de float\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(float)1567 = 1567.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u539f\u6765\u7684 <code>f<\/code> \u662f\u5927\u7ea6 <code>1567.8<\/code>\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1567.8 != 1567.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64 II \u4e3a\u5047\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u8ddf\u8865\u7801\u51e0\u4e4e\u6ca1\u5173\u7cfb\uff0c\u8003\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float \u8f6c int \u4f1a\u4e22\u6389\u5c0f\u6570\u90e8\u5206\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">7. \u4e3a\u4ec0\u4e48 III \u771f\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8868\u8fbe\u5f0f III\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f == (float)(double)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>f<\/code> \u672c\u6765\u662f\u4e00\u4e2a float \u503c\u3002\u5148\u628a float \u8f6c\u6210 double\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float -&gt; double\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">double \u7684\u6709\u6548\u7cbe\u5ea6\u6bd4 float \u9ad8\uff0c\u6240\u4ee5\u8fd9\u4e2a\u8f6c\u6362\u4e0d\u4f1a\u4e22\u5931\u539f\u6765\u7684 float \u503c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u518d\u4ece double \u8f6c\u56de float\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>double -&gt; float\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u8fd9\u4e2a double \u503c\u672c\u6765\u5c31\u662f\u7531\u67d0\u4e2a float \u7cbe\u786e\u8f6c\u6362\u6765\u7684\uff0c\u6240\u4ee5\u518d\u8f6c\u56de float \u8fd8\u662f\u539f\u6765\u7684 float\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 III \u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u53ef\u4ee5\u8bb0\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float -&gt; double -&gt; float\uff0c\u4e00\u822c\u4fdd\u6301\u4e0d\u53d8\nint \u5c0f\u6574\u6570 -&gt; float -&gt; int\uff0c\u4e00\u822c\u4fdd\u6301\u4e0d\u53d8\nfloat \u5e26\u5c0f\u6570 -&gt; int -&gt; float\uff0c\u4e00\u822c\u6539\u53d8\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">8. \u4e3a\u4ec0\u4e48 IV \u5047\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8868\u8fbe\u5f0f IV\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(d + f) - d == f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>d = 1.5E100\nf = 1567.8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>d<\/code> \u6781\u5927\uff0c<code>f<\/code> \u76f8\u6bd4 <code>d<\/code> \u6781\u5c0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u505a\u6d6e\u70b9\u52a0\u6cd5\u65f6\uff0c\u8981\u5148\u5bf9\u9636\u3002\u4e24\u4e2a\u6570\u9636\u7801\u5dee\u975e\u5e38\u5927\uff0c\u5c0f\u6570 <code>f<\/code> \u5728\u5bf9\u9636\u53f3\u79fb\u8fc7\u7a0b\u4e2d\u4f1a\u88ab\u5b8c\u5168\u201c\u5403\u6389\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>d + f \u2248 d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(d + f) - d \u2248 d - d = 0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u7b49\u4e8e <code>f<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u4e5f\u4e0d\u662f\u8865\u7801\u95ee\u9898\uff0c\u800c\u662f\u6d6e\u70b9\u6570\u7cbe\u5ea6\u95ee\u9898\u3002<code>double<\/code> \u7684\u8303\u56f4\u5f88\u5927\uff0c\u53ef\u4ee5\u8868\u793a <code>1.5E100<\/code>\uff0c\u4f46\u5b83\u5728\u8fd9\u4e48\u5927\u7684\u6570\u91cf\u7ea7\u9644\u8fd1\uff0c\u4e24\u4e2a\u76f8\u90bb\u53ef\u8868\u793a\u6570\u4e4b\u95f4\u7684\u95f4\u9694\u4e5f\u975e\u5e38\u5927\u3002<code>1567.8<\/code> \u5bf9\u5b83\u6765\u8bf4\u592a\u5c0f\uff0c\u52a0\u4e0a\u53bb\u6ca1\u6709\u4efb\u4f55\u53ef\u89c1\u53d8\u5316\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 IV \u4e3a\u5047\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">9. \u548c\u8865\u7801\u3001\u539f\u7801\u3001\u53cd\u7801\u7684\u5173\u7cfb\u53ef\u4ee5\u8fd9\u6837\u603b\u7ed3<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u9762\u5b66\u7684\u8865\u7801\u3001\u539f\u7801\u3001\u53cd\u7801\u4e0d\u662f\u6ca1\u7528\uff0c\u800c\u662f\u5728\u4e0d\u540c\u7ae0\u8282\u4e2d\u627f\u62c5\u4e0d\u540c\u4f5c\u7528\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u6574\u6570\u8fd0\u7b97\u9898\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6709\u7b26\u53f7\u6574\u6570\u8303\u56f4\n\u52a0\u51cf\u6cd5\u6ea2\u51fa\n\u7b26\u53f7\u6269\u5c55\n\u7b97\u672f\u53f3\u79fb\nCF\/OF \u6807\u5fd7\nint\u3001short\u3001char \u7684\u5b58\u50a8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u90fd\u5f3a\u4f9d\u8d56\u8865\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u6d6e\u70b9\u6570\u9898\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>IEEE 754 \u683c\u5f0f\n\u7b26\u53f7\u4f4d\u3001\u9636\u7801\u3001\u5c3e\u6570\n\u89c4\u683c\u5316\n\u9690\u85cf\u4f4d\n\u9636\u7801\u504f\u7f6e\n\u6d6e\u70b9\u6570\u820d\u5165\nfloat\/double \u7c7b\u578b\u8f6c\u6362\n\u5927\u6570\u5403\u5c0f\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u4e3b\u8981\u770b IEEE 754\uff0c\u4e0d\u518d\u628a\u6574\u4e2a\u6570\u5f53\u8865\u7801\u5904\u7406\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u6d6e\u70b9\u6570\u4e2d\u4ecd\u7136\u6709\u524d\u9762\u77e5\u8bc6\u7684\u5f71\u5b50\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u5185\u5bb9<\/th><th>\u5728\u6574\u6570\u4e2d<\/th><th>\u5728\u6d6e\u70b9\u6570\u4e2d<\/th><\/tr><\/thead><tbody><tr><td>\u7b26\u53f7<\/td><td>\u8865\u7801\u6700\u9ad8\u4f4d\u53c2\u4e0e\u6570\u503c\u7f16\u7801<\/td><td>\u5355\u72ec\u7684\u7b26\u53f7\u4f4d<\/td><\/tr><tr><td>\u8d1f\u6570\u8868\u793a<\/td><td>\u8865\u7801\u8868\u793a\uff0c\u53d6\u53cd\u52a0\u4e00<\/td><td>\u7b26\u53f7\u4f4d\u4e3a 1\uff0c\u9636\u7801\u5c3e\u6570\u8868\u793a\u7edd\u5bf9\u503c<\/td><\/tr><tr><td>\u9636\u7801<\/td><td>\u6574\u6570\u6ca1\u6709\u9636\u7801<\/td><td>\u901a\u5e38\u7528\u504f\u7f6e\/\u79fb\u7801\u601d\u60f3<\/td><\/tr><tr><td>\u7cbe\u5ea6<\/td><td>\u8303\u56f4\u5185\u6574\u6570\u9010\u4e2a\u7cbe\u786e<\/td><td>\u53ea\u4fdd\u7559\u6709\u9650\u6709\u6548\u4f4d\uff0c\u53ef\u80fd\u820d\u5165<\/td><\/tr><tr><td>\u6ea2\u51fa<\/td><td>\u8d85\u51fa\u6574\u6570\u8303\u56f4<\/td><td>\u9636\u7801\u8d85\u8303\u56f4\u6216\u7ed3\u679c\u53d8\u6210\u65e0\u7a77\u5927<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u7a33\u7684\u7406\u89e3\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8865\u7801\u89e3\u51b3\u7684\u662f\u6574\u6570\u673a\u5668\u6570\u95ee\u9898\uff1b\nIEEE 754 \u89e3\u51b3\u7684\u662f\u6d6e\u70b9\u6570\u673a\u5668\u6570\u95ee\u9898\uff1b\n\u7c7b\u578b\u8f6c\u6362\u9898\u8003\u7684\u662f\u4e24\u79cd\u673a\u5668\u6570\u4f53\u7cfb\u4e4b\u95f4\u7684\u6570\u503c\u8f6c\u6362\uff0c\u800c\u4e0d\u662f\u4e8c\u8fdb\u5236\u4f4d\u76f4\u63a5\u89e3\u91ca\u3002\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">10. \u8003\u7814\u4e2d\u9047\u5230\u8fd9\u7c7b\u9898\u600e\u4e48\u5feb\u901f\u5224\u65ad<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u770b\u5230 <code>int\u3001float\u3001double<\/code> \u6df7\u5408\u6bd4\u8f83\u65f6\uff0c\u4e0d\u8981\u5148\u53bb\u5199\u8865\u7801\u3002\u5148\u5224\u65ad\u8fd9\u51e0\u4e2a\u95ee\u9898\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e00\uff0c\u770b\u662f\u4e0d\u662f\u6574\u6570\u8f6c\u6d6e\u70b9\u3002<br>\u5982\u679c\u662f <code>int -&gt; float -&gt; int<\/code>\uff0c\u91cd\u70b9\u770b\u6574\u6570\u7edd\u5bf9\u503c\u662f\u5426\u8d85\u8fc7 <code>2^24<\/code>\u3002\u4e0d\u8d85\u8fc7\uff0c\u4e00\u822c\u80fd\u7cbe\u786e\u6062\u590d\uff1b\u8d85\u8fc7\uff0c\u5c31\u53ef\u80fd\u4e22\u7cbe\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e8c\uff0c\u770b\u662f\u4e0d\u662f <code>int -&gt; double -&gt; int<\/code>\u3002<br>double \u6709 53 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u7cbe\u5ea6\uff0c\u6240\u4ee5 32 \u4f4d int \u90fd\u80fd\u88ab double \u7cbe\u786e\u8868\u793a\u3002\u8003\u7814\u91cc\u5e38\u7528\u7ed3\u8bba\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>double \u53ef\u7cbe\u786e\u8868\u793a\u6240\u6709 32 \u4f4d int\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e09\uff0c\u770b\u662f\u4e0d\u662f\u6d6e\u70b9\u8f6c\u6574\u6570\u3002<br>\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(float)(int)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ea\u8981 <code>f<\/code> \u5e26\u5c0f\u6570\u90e8\u5206\uff0c\u8f6c int \u5c31\u4f1a\u622a\u65ad\uff0c\u5c0f\u6570\u4e22\u5931\uff0c\u4e00\u822c\u4e0d\u76f8\u7b49\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u56db\uff0c\u770b\u662f\u4e0d\u662f float \u548c double \u4e92\u8f6c\u3002<br>\u5982\u679c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(float)(double)f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>f<\/code> \u539f\u672c\u5c31\u662f float\uff0c\u90a3\u4e48\u901a\u5e38\u4e3a\u771f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e94\uff0c\u770b\u662f\u4e0d\u662f\u5927\u6570\u52a0\u5c0f\u6570\u3002<br>\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(d + f) - d == f\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u7ecf\u5e38\u662f\u5047\u7684\uff0c\u56e0\u4e3a\u6d6e\u70b9\u52a0\u6cd5\u4e0d\u6ee1\u8db3\u666e\u901a\u6570\u5b66\u4e2d\u7684\u7ed3\u5408\u5f8b\u3001\u6d88\u53bb\u5f8b\u3002\u5927\u6570\u52a0\u5c0f\u6570\u65f6\uff0c\u5c0f\u6570\u53ef\u80fd\u88ab\u5bf9\u9636\u53f3\u79fb\u4e22\u6389\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u7b2c 27 \u9898\u7684\u4e3b\u7ebf\u3002\u5b83\u548c\u8865\u7801\u6709\u8054\u7cfb\uff0c\u4f46\u4e0d\u662f\u4e3b\u8981\u77db\u76fe\u3002\u6b64\u9898\u771f\u6b63\u8003\u7684\u662f\uff1a<strong>\u6574\u6570\u8865\u7801\u4f53\u7cfb\u548c IEEE 754 \u6d6e\u70b9\u4f53\u7cfb\u4e4b\u95f4\u505a\u6570\u503c\u8f6c\u6362\u65f6\uff0c\u8303\u56f4\u3001\u7cbe\u5ea6\u548c\u820d\u5165\u5982\u4f55\u5f71\u54cd\u7ed3\u679c\u3002<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">28 \u9898\uff1a-8.25 \u7684 IEEE 754 \u5355\u7cbe\u5ea6\u8868\u793a<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u5728\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = -8.25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u628a\u7edd\u5bf9\u503c\u8f6c\u6210\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1000.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1000.01\u2082 = 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b26\u53f7\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u771f\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\u79fb\u7801\u9636\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 + 127 = 130\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">130 \u7684\u4e8c\u8fdb\u5236\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000010\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u5b57\u6bb5\u53ea\u4fdd\u5b58\u5c0f\u6570\u90e8\u5206\uff0c\u5373\u9690\u85cf\u6700\u9ad8\u4f4d 1 \u540e\u9762\u7684\u90e8\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00001 \u540e\u9762\u8865 0 \u5230 23 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6574\u4f53\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 10000010 00001000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6309 4 \u4f4d\u4e00\u7ec4\u8f6c\u5341\u516d\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1100 0001 0000 0100 0000 0000 0000 0000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5373\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C1040000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>A. C1040000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u6ce8\u610f\uff1a\u9898\u76ee\u95ee\u7684\u662f\u6d6e\u70b9\u5bc4\u5b58\u5668 FR1 \u7684\u5185\u5bb9\uff0c\u4e0d\u662f\u5185\u5b58\u4e2d\u7684\u5b57\u8282\u6392\u5217\uff0c\u6240\u4ee5\u4e0d\u9700\u8981\u8003\u8651\u5927\u5c0f\u7aef\u3002<\/p>\n\n\n\n<h1 class=\"wp-block-heading\">28\u9898\u91cc\u9762\uff0c\u4f60\u63d0\u5230\u4e86\u5355\u7cbe\u5ea6\u7684\u504f\u79fb\u503c\uff0c\u90a3\u4f60\u80fd\u7ed9\u6211\u8bb2\u4e00\u4e0b\uff0c\u5c31\u662f\u8bf4\u5728\u8fd9\u4e9b\u7cbe\u5ea6\u7c7b\u578b\u6570\u636e\u91cc\u9762\uff0c\u5b83\u7684\u504f\u79fb\u503c\u5e94\u8be5\u662f\u591a\u5c11\u5462\uff1f\u8fd9\u79cd\u8be5\u600e\u4e48\u6c42\u5462\uff1f\u8fd8\u662f\u8bf4\u9700\u8981\u76f4\u63a5\u8bb0\u4f4f\u8fd9\u73a9\u610f\uff0c\u9700\u8981\u80cc\u4e0b\u6765<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u7b2c 28 \u9898\u91cc\u63d0\u5230\u7684\u201c\u504f\u79fb\u503c\u201d\uff0c\u4e5f\u53eb<strong>\u504f\u7f6e\u503c<\/strong>\u3001<strong>\u9636\u7801\u504f\u7f6e<\/strong>\u3001<strong>Bias<\/strong>\u3002\u5b83\u4e3b\u8981\u7528\u4e8e IEEE 754 \u6d6e\u70b9\u6570\u7684\u9636\u7801\u5b57\u6bb5\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u7ed9\u7ed3\u8bba\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>IEEE 754 \u4e2d\uff0c\u82e5\u9636\u7801\u5b57\u6bb5\u6709 k \u4f4d\uff0c\u5219\u504f\u7f6e\u503c Bias = 2^(k-1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e38\u89c1\u7cbe\u5ea6\u9700\u8981\u8bb0\u4f4f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7c7b\u578b<\/th><th>\u603b\u4f4d\u6570<\/th><th>\u7b26\u53f7\u4f4d<\/th><th>\u9636\u7801\u4f4d\u6570 k<\/th><th>\u5c3e\u6570\u5b57\u6bb5\u4f4d\u6570<\/th><th>\u504f\u7f6e\u503c Bias<\/th><\/tr><\/thead><tbody><tr><td>\u534a\u7cbe\u5ea6 half<\/td><td>16 \u4f4d<\/td><td>1<\/td><td>5<\/td><td>10<\/td><td>15<\/td><\/tr><tr><td>\u5355\u7cbe\u5ea6 float<\/td><td>32 \u4f4d<\/td><td>1<\/td><td>8<\/td><td>23<\/td><td>127<\/td><\/tr><tr><td>\u53cc\u7cbe\u5ea6 double<\/td><td>64 \u4f4d<\/td><td>1<\/td><td>11<\/td><td>52<\/td><td>1023<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e2d\u56fd\u8ba1\u7b97\u673a\u8003\u7814\u91cc\u6700\u5e38\u8003\u7684\u662f <strong>IEEE 754 \u5355\u7cbe\u5ea6 float<\/strong>\uff0c\u5176\u6b21\u662f <strong>\u53cc\u7cbe\u5ea6 double<\/strong>\u3002\u6240\u4ee5 <code>127<\/code> \u548c <code>1023<\/code> \u6700\u597d\u76f4\u63a5\u8bb0\u4f4f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. \u504f\u7f6e\u503c\u662f\u5e72\u4ec0\u4e48\u7684\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u6d6e\u70b9\u6570\u5927\u81f4\u8868\u793a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^S \u00d7 1.M \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S\uff1a\u7b26\u53f7\u4f4d\nM\uff1a\u5c3e\u6570\u90e8\u5206\nE\uff1a\u9636\u7801\u771f\u503c\uff0c\u4e5f\u5c31\u662f\u5b9e\u9645\u6307\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u95ee\u9898\u5728\u4e8e\uff0c\u6307\u6570 E \u53ef\u80fd\u662f\u6b63\u6570\uff0c\u4e5f\u53ef\u80fd\u662f\u8d1f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u9636\u7801\u771f\u503c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = +3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.125 = 1.0\u2082 \u00d7 2^(-3)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u9636\u7801\u771f\u503c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = -3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u76f4\u63a5\u7528\u8865\u7801\u5b58\u9636\u7801\u4e5f\u53ef\u4ee5\uff0c\u4f46 IEEE 754 \u6ca1\u8fd9\u4e48\u505a\u3002\u5b83\u91c7\u7528\u7684\u662f<strong>\u504f\u7f6e\u8868\u793a\u6cd5<\/strong>\uff0c\u4e5f\u53ef\u4ee5\u7406\u89e3\u4e3a\u4e00\u79cd\u79fb\u7801\u601d\u60f3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u503c = \u9636\u7801\u771f\u503c + \u504f\u7f6e\u503c\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = E + Bias\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53cd\u8fc7\u6765\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = e - Bias\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E\uff1a\u9636\u7801\u771f\u503c\ne\uff1a\u673a\u5668\u4e2d\u9636\u7801\u5b57\u6bb5\u7684\u65e0\u7b26\u53f7\u503c\nBias\uff1a\u504f\u7f6e\u503c\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">2. \u5355\u7cbe\u5ea6 float \u7684\u504f\u7f6e\u503c\u4e3a\u4ec0\u4e48\u662f 127\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6 float \u4e00\u5171 32 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u5b57\u6bb5\u6709 8 \u4f4d\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(8-1) - 1\n     = 2^7 - 1\n     = 128 - 1\n     = 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u503c = \u9636\u7801\u771f\u503c + 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u7b2c 28 \u9898\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = -8.25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u770b\u7edd\u5bf9\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1000.01\u2082\n     = 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u9636\u7801\u771f\u503c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u504f\u7f6e\u503c\u662f 127\uff0c\u56e0\u6b64\u9636\u7801\u5b57\u6bb5\u503c\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = E + 127\n  = 3 + 127\n  = 130\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">130 \u5199\u6210 8 \u4f4d\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c 28 \u9898\u4e2d\u7684\u9636\u7801\u5b57\u6bb5\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000010\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">3. \u53cc\u7cbe\u5ea6 double \u7684\u504f\u7f6e\u503c\u4e3a\u4ec0\u4e48\u662f 1023\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u53cc\u7cbe\u5ea6 double \u4e00\u5171 64 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 11 \u4f4d\u9636\u7801 + 52 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u5b57\u6bb5\u6709 11 \u4f4d\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(11-1) - 1\n     = 2^10 - 1\n     = 1024 - 1\n     = 1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u53cc\u7cbe\u5ea6\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u503c = \u9636\u7801\u771f\u503c + 1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u67d0\u4e2a double \u6570\u89c4\u683c\u5316\u540e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.01\u2082 \u00d7 2^5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 5\ne = 5 + 1023 = 1028\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u628a 1028 \u5199\u6210 11 \u4f4d\u4e8c\u8fdb\u5236\uff0c\u5c31\u662f\u5b83\u7684\u9636\u7801\u5b57\u6bb5\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4. \u8fd9\u4e2a\u504f\u7f6e\u503c\u9700\u8981\u80cc\u5417\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9700\u8981\u5206\u4e24\u5c42\u770b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e00\u5c42\uff0c\u516c\u5f0f\u8981\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>k \u4f4d\u9636\u7801\u7684 IEEE 754 \u504f\u7f6e\u503c = 2^(k-1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c\u4e8c\u5c42\uff0c\u5e38\u89c1\u7c7b\u578b\u8981\u76f4\u63a5\u8bb0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float\uff1a\u9636\u7801 8 \u4f4d\uff0c\u504f\u7f6e 127\ndouble\uff1a\u9636\u7801 11 \u4f4d\uff0c\u504f\u7f6e 1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8003\u7814\u505a\u9898\u65f6\uff0c\u4e0d\u5efa\u8bae\u6bcf\u6b21\u90fd\u4ece\u5934\u63a8\u3002\u770b\u5230 IEEE 754 \u5355\u7cbe\u5ea6\uff0c\u5e94\u8be5\u9a6c\u4e0a\u53cd\u5e94\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5355\u7cbe\u5ea6\uff1a1 + 8 + 23\uff0c\u504f\u7f6e 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u770b\u5230 IEEE 754 \u53cc\u7cbe\u5ea6\uff0c\u5e94\u8be5\u9a6c\u4e0a\u53cd\u5e94\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u53cc\u7cbe\u5ea6\uff1a1 + 11 + 52\uff0c\u504f\u7f6e 1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6837\u505a\u9898\u901f\u5ea6\u4f1a\u5feb\u5f88\u591a\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5. \u4e3a\u4ec0\u4e48\u504f\u7f6e\u503c\u4e0d\u662f 2^(k-1)\uff0c\u800c\u662f 2^(k-1)-1\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u5730\u65b9\u5bb9\u6613\u548c\u524d\u9762\u5b66\u7684\u201c\u79fb\u7801\u201d\u6df7\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728\u4e00\u822c\u6559\u6750\u91cc\uff0cn \u4f4d\u79fb\u7801\u6709\u65f6\u5b9a\u4e49\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u79fb\u7801 = \u771f\u503c + 2^(n-1)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982 8 \u4f4d\u79fb\u7801\u504f\u7f6e\u53ef\u80fd\u5199\u6210 128\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f IEEE 754 \u7684\u9636\u7801\u504f\u7f6e\u91c7\u7528\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(k-1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 8 \u4f4d\u9636\u7801\u4e0d\u662f\u504f\u7f6e 128\uff0c\u800c\u662f\u504f\u7f6e 127\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4ec0\u4e48\u8fd9\u4e48\u8bbe\u8ba1\uff1f\u7b80\u5355\u4ece\u8003\u7814\u89d2\u5ea6\u7406\u89e3\u5373\u53ef\uff1aIEEE 754 \u628a\u9636\u7801\u5b57\u6bb5\u7684\u5168 0 \u548c\u5168 1 \u7559\u4f5c\u7279\u6b8a\u7528\u9014\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u5355\u7cbe\u5ea6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5 00000000\uff1a\u7528\u4e8e 0 \u548c\u975e\u89c4\u683c\u5316\u6570\n\u9636\u7801\u5b57\u6bb5 11111111\uff1a\u7528\u4e8e\u65e0\u7a77\u5927\u548c NaN\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u6b63\u7528\u4e8e\u89c4\u683c\u5316\u6570\u7684\u9636\u7801\u5b57\u6bb5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00000001 ~ 11111110\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u5341\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 ~ 254\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7528\u504f\u7f6e 127 \u540e\uff0c\u89c4\u683c\u5316\u6570\u7684\u9636\u7801\u771f\u503c\u8303\u56f4\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6700\u5c0f\u89c4\u683c\u5316\u9636\u7801\u771f\u503c = 1 - 127 = -126\n\u6700\u5927\u89c4\u683c\u5316\u9636\u7801\u771f\u503c = 254 - 127 = +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u5355\u7cbe\u5ea6\u89c4\u683c\u5316\u6570\u7684\u9636\u7801\u771f\u503c\u8303\u56f4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-126 ~ +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u53cc\u7cbe\u5ea6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u5168 0\uff1a\u7279\u6b8a\n\u9636\u7801\u5b57\u6bb5\u5168 1\uff1a\u7279\u6b8a\n\u89c4\u683c\u5316\u9636\u7801\u5b57\u6bb5\u8303\u56f4\uff1a1 ~ 2046\nBias = 1023\n\u9636\u7801\u771f\u503c\u8303\u56f4\uff1a-1022 ~ +1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u8303\u56f4\u5728\u6d6e\u70b9\u6570\u6700\u5927\u503c\u3001\u6700\u5c0f\u89c4\u683c\u5316\u6b63\u6570\u9898\u91cc\u7ecf\u5e38\u7528\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">6. \u5355\u7cbe\u5ea6 float \u7684\u9636\u7801\u8303\u56f4\u600e\u4e48\u6765\u7684\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u5355\u7cbe\u5ea6\u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5 8 \u4f4d\nBias = 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">8 \u4f4d\u65e0\u7b26\u53f7\u5b57\u6bb5\u672c\u6765\u80fd\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 ~ 255\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0\uff1a\u4fdd\u7559\u7ed9 0 \u548c\u975e\u89c4\u683c\u5316\u6570\n255\uff1a\u4fdd\u7559\u7ed9\u65e0\u7a77\u5927\u548c NaN\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u89c4\u683c\u5316\u6570\u7684\u9636\u7801\u5b57\u6bb5\u53ea\u80fd\u53d6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 ~ 254\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8f6c\u6362\u6210\u9636\u7801\u771f\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 1   \u65f6\uff0cE = 1 - 127 = -126\ne = 254 \u65f6\uff0cE = 254 - 127 = +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5355\u7cbe\u5ea6\u89c4\u683c\u5316\u6570\u9636\u7801\u771f\u503c\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-126 ~ +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e5f\u89e3\u91ca\u4e86\u7b2c 29 \u9898\u4e3a\u4ec0\u4e48\u6700\u5927\u6709\u9650\u6b63\u6570\u7684\u9636\u7801\u771f\u503c\u662f <code>+127<\/code>\uff0c\u800c\u4e0d\u662f <code>+128<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u9636\u7801\u5b57\u6bb5\u5168 1\uff0c\u5373 <code>255<\/code>\uff0c\u4e0d\u80fd\u7528\u4e8e\u666e\u901a\u6709\u9650\u6570\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">7. \u5e38\u89c1\u9898\u578b\u600e\u4e48\u7528\u8fd9\u4e2a\u504f\u7f6e\u503c\uff1f<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c\u4e00\u7c7b\uff1a\u7ed9\u5341\u8fdb\u5236\u6570\uff0c\u6c42 IEEE 754 \u8868\u793a<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-8.25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u505a\u6cd5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1000.01\u2082 = 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f97\u5230\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\n\u9636\u7801\u771f\u503c E = 3\n\u5355\u7cbe\u5ea6\u9636\u7801\u5b57\u6bb5 e = 3 + 127 = 130 = 10000010\u2082\n\u5c3e\u6570 = 00001 \u540e\u8865 0 \u5230 23 \u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6574\u4f53\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 10000010 00001000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u8f6c\u5341\u516d\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C1040000H\n<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c\u4e8c\u7c7b\uff1a\u7ed9 IEEE 754 \u673a\u5668\u6570\uff0c\u6c42\u771f\u503c<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u9636\u7801\u5b57\u6bb5\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u8f6c\u5341\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000010\u2082 = 130\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u504f\u7f6e\u503c\u4e3a 127\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 130 - 127 = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8fd9\u4e2a\u6d6e\u70b9\u6570\u7684\u6307\u6570\u90e8\u5206\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u518d\u7ed3\u5408\u7b26\u53f7\u4f4d\u548c\u5c3e\u6570\u6c42\u771f\u503c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7b2c\u4e09\u7c7b\uff1a\u6c42\u6700\u5927\u6b63\u6570\u3001\u6700\u5c0f\u89c4\u683c\u5316\u6b63\u6570<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u6700\u5927\u6709\u9650\u6b63\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u6700\u5927\u4e0d\u80fd\u53d6 255\uff0c\u53ea\u80fd\u53d6 254\n\u9636\u7801\u771f\u503c E = 254 - 127 = 127\n\u5c3e\u6570\u53d6\u6700\u5927\uff1a1.111...111\u2082 = 2 - 2^(-23)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u5927\u6709\u9650\u6b63\u6570\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(2 - 2^(-23)) \u00d7 2^127\n= 2^128 - 2^104\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u6700\u5c0f\u89c4\u683c\u5316\u6b63\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u6700\u5c0f\u89c4\u683c\u5316\u53d6 1\n\u9636\u7801\u771f\u503c E = 1 - 127 = -126\n\u5c3e\u6570\u6700\u5c0f\u89c4\u683c\u5316\u53d6 1.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0 \u00d7 2^(-126)\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">8. \u548c\u524d\u9762\u201c\u79fb\u7801\u201d\u7684\u5173\u7cfb<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u53ef\u4ee5\u628a IEEE 754 \u7684\u9636\u7801\u504f\u7f6e\u7406\u89e3\u4e3a\u201c\u79fb\u7801\u601d\u60f3\u201d\uff0c\u4f46\u8981\u6ce8\u610f\u5b83\u7684\u5177\u4f53\u504f\u7f6e\u503c\u548c\u666e\u901a\u6559\u6750\u91cc\u8bb2\u7684 n \u4f4d\u79fb\u7801\u4e0d\u5b8c\u5168\u4e00\u6837\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8003\u7814\u4e2d\u5efa\u8bae\u8fd9\u6837\u533a\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u666e\u901a\u79fb\u7801\u9898\uff1a\u6309\u9898\u76ee\u7ed9\u5b9a\u89c4\u5219\uff0c\u5e38\u89c1\u504f\u7f6e\u4e3a 2^(n-1)\nIEEE 754 \u6d6e\u70b9\u6570\u9636\u7801\uff1a\u56fa\u5b9a\u7528 Bias = 2^(k-1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e0d\u8981\u673a\u68b0\u5730\u628a\u6240\u6709\u201c\u79fb\u7801\u201d\u90fd\u5f53\u6210\u540c\u4e00\u4e2a\u504f\u7f6e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u9636\u7801 8 \u4f4d\uff0c\u504f\u7f6e\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>128\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u9ad8\u9891\u6613\u9519\u70b9\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">9. \u6700\u540e\u6574\u7406\u6210\u505a\u9898\u8bb0\u5fc6\u7248<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9047\u5230 IEEE 754 \u5355\u7cbe\u5ea6\uff0c\u76f4\u63a5\u8bb0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float\uff1a32 \u4f4d\n1 \u4f4d\u7b26\u53f7\u4f4d\n8 \u4f4d\u9636\u7801\uff0c\u504f\u7f6e 127\n23 \u4f4d\u5c3e\u6570\uff0c\u9690\u85cf\u6700\u9ad8\u4f4d 1\n\u9636\u7801\u771f\u503c E = \u9636\u7801\u5b57\u6bb5\u503c - 127\n\u89c4\u683c\u5316\u9636\u7801\u771f\u503c\u8303\u56f4\uff1a-126 ~ +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9047\u5230 IEEE 754 \u53cc\u7cbe\u5ea6\uff0c\u76f4\u63a5\u8bb0\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>double\uff1a64 \u4f4d\n1 \u4f4d\u7b26\u53f7\u4f4d\n11 \u4f4d\u9636\u7801\uff0c\u504f\u7f6e 1023\n52 \u4f4d\u5c3e\u6570\uff0c\u9690\u85cf\u6700\u9ad8\u4f4d 1\n\u9636\u7801\u771f\u503c E = \u9636\u7801\u5b57\u6bb5\u503c - 1023\n\u89c4\u683c\u5316\u9636\u7801\u771f\u503c\u8303\u56f4\uff1a-1022 ~ +1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u504f\u7f6e\u503c\u672c\u8eab\u53ef\u4ee5\u7528\u516c\u5f0f\u6c42\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(\u9636\u7801\u4f4d\u6570 - 1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u8003\u8bd5\u4e2d\uff0c<code>float = 127<\/code>\u3001<code>double = 1023<\/code> \u6700\u597d\u76f4\u63a5\u80cc\u4e0b\u6765\u3002\u5355\u7cbe\u5ea6\u662f\u7ec4\u6210\u539f\u7406\u6d6e\u70b9\u6570\u9898\u7684\u91cd\u70b9\uff0c\u770b\u5230 <code>IEEE 754 \u5355\u7cbe\u5ea6<\/code> \u5e94\u8be5\u7acb\u523b\u60f3\u5230 <code>1 + 8 + 23\uff0c\u504f\u7f6e 127<\/code>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">29 \u9898\uff1aIEEE 754 \u5355\u7cbe\u5ea6\u80fd\u8868\u793a\u7684\u6700\u5927\u6b63\u6574\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5 8 \u4f4d\n\u5c3e\u6570\u5b57\u6bb5 23 \u4f4d\n\u504f\u7f6e\u503c 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u5927\u6709\u9650\u6b63\u6570\u4e0d\u80fd\u4f7f\u7528\u5168 1 \u9636\u7801\uff0c\u56e0\u4e3a\u9636\u7801\u5168 1 \u7528\u4e8e\u8868\u793a\u65e0\u7a77\u5927\u548c NaN\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u5927\u6709\u9650\u6570\u7684\u9636\u7801\u5b57\u6bb5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>254\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u7684\u9636\u7801\u771f\u503c\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>254 - 127 = 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u90e8\u5206\u53d6\u6700\u5927\uff0c\u5373 23 \u4f4d\u5168\u4e3a 1\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.111...111\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u6709\u6548\u6570\u7b49\u4e8e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2 - 2^(-23)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6700\u5927\u6b63\u6709\u9650\u6570\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(2 - 2^(-23)) \u00d7 2^127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c55\u5f00\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2 \u00d7 2^127 - 2^(-23) \u00d7 2^127\n= 2^128 - 2^104\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u6570\u672c\u8eab\u4e5f\u662f\u6574\u6570\uff0c\u56e0\u6b64\u5b83\u5c31\u662f float \u80fd\u8868\u793a\u7684\u6700\u5927\u6b63\u6574\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>D. 2^128 - 2^104\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u5e38\u89c1\u8bef\u533a\u662f\u53ea\u770b\u5230\u6700\u5927\u9636\u7801\u771f\u503c\u4e3a 127\uff0c\u5c31\u8bef\u4ee5\u4e3a\u6700\u5927\u503c\u5728 <code>2^127<\/code> \u9644\u8fd1\u3002\u5b9e\u9645\u4e0a\u6709\u6548\u6570\u6700\u5927\u63a5\u8fd1 2\uff0c\u6240\u4ee5\u6574\u4f53\u6700\u5927\u63a5\u8fd1 <code>2^128<\/code>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u9636\u7801\u672c\u8d28\u4e0a\u5c31\u662f\u201c\u4e8c\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u91cc\u7684\u6307\u6570\u201d<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u91cc\u7684\u201c\u9636\u7801\u201d\uff0c\u53ef\u4ee5\u5148\u7c7b\u6bd4\u5341\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u7406\u89e3\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\u5341\u8fdb\u5236\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>12345 = 1.2345 \u00d7 10^4\n0.0012345 = 1.2345 \u00d7 10^(-3)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684 <code>4<\/code>\u3001<code>-3<\/code> \u5c31\u662f\u6307\u6570\u3002\u5b83\u4e0d\u8d1f\u8d23\u8868\u793a\u6709\u6548\u6570\u5b57\u672c\u8eab\uff0c\u800c\u662f\u8d1f\u8d23\u8bf4\u660e\u201c\u5c0f\u6570\u70b9\u5e94\u8be5\u79fb\u52a8\u591a\u5c11\u4f4d\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u6d6e\u70b9\u6570\u4e5f\u662f\u7c7b\u4f3c\u601d\u60f3\uff0c\u53ea\u4e0d\u8fc7\u5b83\u7528\u7684\u662f\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1000.01\u2082 = 1.00001\u2082 \u00d7 2^3\n0.125 = 0.001\u2082 = 1.0\u2082 \u00d7 2^(-3)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684 <code>3<\/code>\u3001<code>-3<\/code> \u5c31\u662f\u6d6e\u70b9\u6570\u7684<strong>\u9636\u7801\u771f\u503c<\/strong>\uff0c\u4e5f\u5c31\u662f\u5b9e\u9645\u6307\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e00\u53e5\u8bdd\u6982\u62ec\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801 = \u4e8c\u8fdb\u5236\u6d6e\u70b9\u6570\u4e2d 2 \u7684\u6307\u6570\uff0c\u7528\u6765\u51b3\u5b9a\u6570\u503c\u6574\u4f53\u653e\u5927\u6216\u7f29\u5c0f\u591a\u5c11\u500d\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 IEEE 754 \u4e2d\uff0c\u89c4\u683c\u5316\u6d6e\u70b9\u6570\u5927\u81f4\u8868\u793a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u503c = (-1)^\u7b26\u53f7\u4f4d \u00d7 1.\u5c3e\u6570 \u00d7 2^\u9636\u7801\u771f\u503c\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d\uff1a\u51b3\u5b9a\u6b63\u8d1f\n\u5c3e\u6570\uff1a\u51b3\u5b9a\u6709\u6548\u6570\u5b57\uff0c\u4e5f\u5c31\u662f\u7cbe\u5ea6\n\u9636\u7801\uff1a\u51b3\u5b9a\u5c0f\u6570\u70b9\u4f4d\u7f6e\uff0c\u4e5f\u5c31\u662f\u6570\u91cf\u7ea7\u548c\u8303\u56f4\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3a\u4ec0\u4e48 float \u8981\u6709\u9636\u7801\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u6ca1\u6709\u9636\u7801\uff0c\u53ea\u9760\u56fa\u5b9a\u7684\u5c0f\u6570\u70b9\u4f4d\u7f6e\u6765\u8868\u793a\u6570\uff0c\u90a3\u5c31\u662f\u5b9a\u70b9\u6570\u3002\u5b9a\u70b9\u6570\u7684\u8303\u56f4\u548c\u7cbe\u5ea6\u5206\u914d\u662f\u6b7b\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\u5047\u8bbe\u4e00\u4e2a\u6570\u683c\u5f0f\u56fa\u5b9a\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>xxxxx.xxxxx\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u5b83\u53ea\u80fd\u5728\u4e00\u4e2a\u56fa\u5b9a\u8303\u56f4\u5185\u8868\u793a\u6570\u3002\u592a\u5927\u7684\u6570\u8868\u793a\u4e0d\u4e86\uff0c\u592a\u5c0f\u7684\u5c0f\u6570\u4e5f\u8868\u793a\u4e0d\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u7684\u4f18\u52bf\u5c31\u5728\u4e8e\uff1a<strong>\u5c0f\u6570\u70b9\u53ef\u4ee5\u201c\u6d6e\u52a8\u201d<\/strong>\u3002\u800c\u63a7\u5236\u5c0f\u6570\u70b9\u6d6e\u52a8\u4f4d\u7f6e\u7684\uff0c\u5c31\u662f\u9636\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\u540c\u4e00\u4e2a\u5c3e\u6570 <code>1.01\u2082<\/code>\uff0c\u914d\u4e0d\u540c\u9636\u7801\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.01\u2082 \u00d7 2^0 = 1.25\n1.01\u2082 \u00d7 2^3 = 10.0\u2082 = 10\n1.01\u2082 \u00d7 2^(-2) = 0.0101\u2082 = 0.3125\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u770b\u5230\uff0c\u5c3e\u6570\u76f8\u540c\uff0c\u53ea\u8981\u9636\u7801\u4e0d\u540c\uff0c\u6570\u503c\u5927\u5c0f\u5c31\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u9636\u7801\u7684\u4f5c\u7528\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u8d8a\u5927\uff0c\u6570\u8d8a\u5927\uff1b\n\u9636\u7801\u8d8a\u5c0f\uff0c\u6570\u8d8a\u63a5\u8fd1 0\uff1b\n\u9636\u7801\u51b3\u5b9a\u6d6e\u70b9\u6570\u80fd\u8868\u793a\u7684\u8303\u56f4\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e5f\u662f\u4e3a\u4ec0\u4e48 <code>float<\/code> \u867d\u7136\u53ea\u6709 32 \u4f4d\uff0c\u4f46\u5b83\u80fd\u8868\u793a\u6bd4 32 \u4f4d <code>int<\/code> \u5927\u5f97\u591a\u7684\u6570\u3002\u56e0\u4e3a <code>float<\/code> \u91cc\u9762\u6709 8 \u4f4d\u9636\u7801\uff0c\u53ef\u4ee5\u8868\u793a\u5f88\u5927\u7684\u6307\u6570\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u9636\u7801\u548c\u5c3e\u6570\u7684\u5206\u5de5\uff1a\u4e00\u4e2a\u7ba1\u8303\u56f4\uff0c\u4e00\u4e2a\u7ba1\u7cbe\u5ea6<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u6d6e\u70b9\u6570\u6700\u91cd\u8981\u7684\u7406\u89e3\u70b9\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5 IEEE 754 \u5355\u7cbe\u5ea6 float \u4e3a\u4f8b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float\uff1a1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\u5b57\u6bb5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\u89c4\u683c\u5316\u6570\u9690\u85cf\u6700\u9ad8\u4f4d <code>1<\/code>\uff0c\u6240\u4ee5 float \u5b9e\u9645\u6709\u6548\u4f4d\u6570\u662f 24 \u4f4d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9 24 \u4f4d\u6709\u6548\u6570\u5b57\u51b3\u5b9a\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8fd9\u4e2a\u6570\u80fd\u8868\u793a\u5f97\u591a\u7cbe\u7ec6\u3001\u591a\u51c6\u786e\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c 8 \u4f4d\u9636\u7801\u51b3\u5b9a\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8fd9\u4e2a\u6570\u80fd\u8868\u793a\u591a\u5927\u3001\u591a\u5c0f\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c3e\u6570\u51b3\u5b9a\u7cbe\u5ea6\uff1b\n\u9636\u7801\u51b3\u5b9a\u8303\u56f4\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00001\u2082\uff1a\u5c3e\u6570\uff0c\u6709\u6548\u6570\u5b57\n3\uff1a\u9636\u7801\u771f\u503c\uff0c\u8868\u793a\u6574\u4f53\u4e58 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5c3e\u6570\u4e0d\u53d8\uff0c\u9636\u7801\u6539\u53d8\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00001\u2082 \u00d7 2^3\n1.00001\u2082 \u00d7 2^10\n1.00001\u2082 \u00d7 2^(-5)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e9b\u6570\u7684\u201c\u6709\u6548\u6570\u5b57\u5f62\u72b6\u201d\u5dee\u4e0d\u591a\uff0c\u4f46\u6570\u91cf\u7ea7\u5dee\u5f88\u591a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u6d6e\u70b9\u6570\u7684\u6838\u5fc3\uff1a\u7528\u6709\u9650\u7684\u6709\u6548\u4f4d\u6570\uff0c\u914d\u5408\u9636\u7801\uff0c\u53bb\u8986\u76d6\u975e\u5e38\u5927\u7684\u6570\u503c\u8303\u56f4\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u4ee5 -8.25 \u4e3a\u4f8b\u770b\u9636\u7801\u600e\u4e48\u6765<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 28 \u9898\u7684\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-8.25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u4e0d\u770b\u8d1f\u53f7\uff0c\u53ea\u770b\u7edd\u5bf9\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1000.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u628a\u5b83\u89c4\u683c\u5316\u6210 <code>1.xxxx \u00d7 2^E<\/code> \u7684\u5f62\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1000.01\u2082 = 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u4e3a\u4ec0\u4e48\u662f <code>2^3<\/code>\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u76f8\u5f53\u4e8e\u628a\u4e8c\u8fdb\u5236\u5c0f\u6570\u70b9\u5411\u53f3\u79fb\u52a8 3 \u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.00001\u2082  \u2192  1000.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u9636\u7801\u771f\u503c\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-8.25 = (-1)^1 \u00d7 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u5230 IEEE 754 \u5355\u7cbe\u5ea6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\n\u9636\u7801\u771f\u503c E = 3\n\u5c3e\u6570\u90e8\u5206 = 00001 \u540e\u9762\u8865 0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u9636\u7801\u4e0d\u662f\u51ed\u7a7a\u6765\u7684\uff0c\u5b83\u5c31\u662f\u89c4\u683c\u5316\u4e4b\u540e <code>2<\/code> \u4e0a\u9762\u7684\u90a3\u4e2a\u6307\u6570\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u201cfloat \u7c7b\u578b\u81ea\u52a8\u504f\u79fb 127\u201d\u662f\u4ec0\u4e48\u610f\u601d\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u8981\u7279\u522b\u6ce8\u610f\uff1a<code>+127<\/code> \u4e0d\u662f\u8bf4\u6570\u503c\u672c\u8eab\u8981\u4e58 127 \u6216\u52a0 127\uff0c\u4e5f\u4e0d\u662f\u8bf4\u8ba1\u7b97\u65f6\u628a\u539f\u6570\u6539\u5927\u4e86\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u53ea\u662f<strong>\u9636\u7801\u5b57\u6bb5\u7684\u5b58\u50a8\u65b9\u5f0f<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u771f\u503c\u53ef\u4ee5\u662f\u6b63\u6570\uff0c\u4e5f\u53ef\u4ee5\u662f\u8d1f\u6570\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1.00001\u2082 \u00d7 2^3       \u9636\u7801\u771f\u503c E = +3\n0.125 = 1.0\u2082 \u00d7 2^(-3)       \u9636\u7801\u771f\u503c E = -3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u7684\u9636\u7801\u5b57\u6bb5\u672c\u8eab\u6ca1\u6709\u5355\u72ec\u7684\u7b26\u53f7\u4f4d\uff0c\u5b83\u628a\u9636\u7801\u5b57\u6bb5\u5f53\u6210\u4e00\u4e2a\u65e0\u7b26\u53f7\u6570\u5b58\u50a8\u3002\u4e3a\u4e86\u80fd\u8868\u793a\u8d1f\u6307\u6570\uff0c\u5c31\u91c7\u7528\u504f\u7f6e\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u503c e = \u9636\u7801\u771f\u503c E + \u504f\u7f6e\u503c Bias\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6 float \u7684\u9636\u7801\u5b57\u6bb5\u6709 8 \u4f4d\uff0c\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = E + 127\nE = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 3\ne = 3 + 127 = 130\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u673a\u5668\u91cc\u9636\u7801\u5b57\u6bb5\u5b58\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u8fd9\u4e2a <code>10000010\u2082<\/code> \u4e0d\u662f\u9636\u7801\u771f\u503c\u672c\u8eab\u3002\u5b83\u53ea\u662f\u201c\u5e26\u504f\u7f6e\u540e\u7684\u9636\u7801\u5b57\u6bb5\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u6b63\u53c2\u4e0e\u6570\u503c\u542b\u4e49\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 130 - 127 = 3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u770b\u5230 float \u7684\u9636\u7801\u5b57\u6bb5\u65f6\uff0c\u8981\u505a\u4e24\u6b65\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5b58\u50a8\u65f6\uff1a\u9636\u7801\u5b57\u6bb5 = \u9636\u7801\u771f\u503c + 127\n\u8fd8\u539f\u65f6\uff1a\u9636\u7801\u771f\u503c = \u9636\u7801\u5b57\u6bb5 - 127\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u4e3a\u4ec0\u4e48\u4e0d\u76f4\u63a5\u5b58 +3 \u6216 -3\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a IEEE 754 \u5e0c\u671b\u9636\u7801\u5b57\u6bb5\u65b9\u4fbf\u6bd4\u8f83\u3001\u6392\u5e8f\u548c\u786c\u4ef6\u5904\u7406\uff0c\u6240\u4ee5\u6ca1\u6709\u91c7\u7528\u666e\u901a\u8865\u7801\u6765\u5b58\u9636\u7801\uff0c\u800c\u662f\u91c7\u7528\u504f\u7f6e\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\u5355\u7cbe\u5ea6\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = -3\ne = -3 + 127 = 124 = 01111100\u2082\n\nE = 0\ne = 0 + 127 = 127 = 01111111\u2082\n\nE = 3\ne = 3 + 127 = 130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6837\u4e00\u6765\uff0c\u8f83\u5c0f\u7684\u9636\u7801\u771f\u503c\u5bf9\u5e94\u8f83\u5c0f\u7684\u9636\u7801\u5b57\u6bb5\u503c\uff0c\u8f83\u5927\u7684\u9636\u7801\u771f\u503c\u5bf9\u5e94\u8f83\u5927\u7684\u9636\u7801\u5b57\u6bb5\u503c\u3002\u786c\u4ef6\u6bd4\u8f83\u5927\u5c0f\u65f6\u66f4\u65b9\u4fbf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8003\u7814\u4e2d\u4e0d\u9700\u8981\u6df1\u7a76\u786c\u4ef6\u8bbe\u8ba1\u52a8\u673a\uff0c\u91cd\u70b9\u8bb0\u4f4f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>IEEE 754 \u7684\u9636\u7801\u7528\u504f\u7f6e\u8868\u793a\uff0c\u4e0d\u7528\u8865\u7801\u8868\u793a\u3002\n\u5355\u7cbe\u5ea6\u504f\u7f6e 127\uff0c\u53cc\u7cbe\u5ea6\u504f\u7f6e 1023\u3002\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">\u9636\u7801\u5177\u4f53\u6709\u4ec0\u4e48\u7528\uff1f\u770b\u4e09\u4e2a\u4f8b\u5b50<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">\u4f8b 1\uff1a\u8868\u793a\u8f83\u5927\u7684\u6570<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0\u2082 \u00d7 2^20\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^20\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u5f88\u7b80\u5355\uff0c\u5c31\u662f <code>1.0\u2082<\/code>\uff0c\u4f46\u9636\u7801\u5f88\u5927\uff0c\u6240\u4ee5\u6574\u4f53\u6570\u5f88\u5927\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u8bf4\u660e\u9636\u7801\u53ef\u4ee5\u8ba9 float \u8868\u793a\u5f88\u5927\u7684\u6570\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4f8b 2\uff1a\u8868\u793a\u5f88\u5c0f\u7684\u5c0f\u6570<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0\u2082 \u00d7 2^(-20)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^(-20)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u8fd8\u662f <code>1.0\u2082<\/code>\uff0c\u4f46\u9636\u7801\u5f88\u5c0f\uff0c\u6240\u4ee5\u6574\u4f53\u6570\u5f88\u63a5\u8fd1 0\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u8bf4\u660e\u9636\u7801\u4e5f\u53ef\u4ee5\u8ba9 float \u8868\u793a\u5f88\u5c0f\u7684\u5c0f\u6570\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u4f8b 3\uff1a\u540c\u4e00\u4e2a\u5c3e\u6570\uff0c\u9636\u7801\u4e0d\u540c\uff0c\u6570\u503c\u5dee\u5f88\u591a<\/h3>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101\u2082 \u00d7 2^0\n1.101\u2082 \u00d7 2^5\n1.101\u2082 \u00d7 2^(-5)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4eec\u7684\u6709\u6548\u6570\u5b57\u90fd\u662f <code>1.101\u2082<\/code>\uff0c\u4f46\u662f\u6570\u91cf\u7ea7\u5b8c\u5168\u4e0d\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6d6e\u70b9\u6570\u4e0d\u662f\u5355\u7eaf\u9760\u5c3e\u6570\u8868\u793a\u6570\u503c\uff0c\u800c\u662f\u9760\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c3e\u6570 \u00d7 2^\u9636\u7801\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5171\u540c\u8868\u793a\u6570\u503c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u9636\u7801\u4e3a\u4ec0\u4e48\u4f1a\u5bfc\u81f4\u201c\u5927\u6570\u5403\u5c0f\u6570\u201d\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u548c\u4e4b\u524d\u7b2c 27 \u9898\u4e5f\u80fd\u8054\u7cfb\u8d77\u6765\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u76f8\u52a0\u65f6\uff0c\u5fc5\u987b\u5148\u5bf9\u9636\u3002\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.5E100 + 1567.8\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e24\u4e2a\u6570\u7684\u9636\u7801\u5dee\u975e\u5e38\u5927\u3002\u4e3a\u4e86\u76f8\u52a0\uff0c\u5c0f\u6570\u7684\u5c3e\u6570\u8981\u5411\u53f3\u79fb\u52a8\u5f88\u591a\u4f4d\uff0c\u76f4\u5230\u9636\u7801\u548c\u5927\u6570\u5bf9\u9f50\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u5c3e\u6570\u4f4d\u6570\u6709\u9650\u3002<code>double<\/code> \u867d\u7136\u6bd4 <code>float<\/code> \u7cbe\u5ea6\u9ad8\uff0c\u4e5f\u53ea\u6709 53 \u4f4d\u6709\u6548\u4e8c\u8fdb\u5236\u4f4d\u3002\u5f53\u9636\u7801\u5dee\u592a\u5927\u65f6\uff0c\u5c0f\u6570\u53f3\u79fb\u540e\u6709\u6548\u4f4d\u5168\u90e8\u88ab\u79fb\u51fa\u53bb\uff0c\u76f8\u5f53\u4e8e\u6d88\u5931\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>d + f \u2248 d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u201c\u5927\u6570\u5403\u5c0f\u6570\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e5f\u8bf4\u660e\u9636\u7801\u4e0d\u4ec5\u51b3\u5b9a\u8303\u56f4\uff0c\u8fd8\u76f4\u63a5\u5f71\u54cd\u6d6e\u70b9\u8fd0\u7b97\u8fc7\u7a0b\u3002\u6d6e\u70b9\u52a0\u51cf\u6cd5\u7684\u6838\u5fc3\u6b65\u9aa4\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5bf9\u9636 \u2192 \u5c3e\u6570\u8fd0\u7b97 \u2192 \u89c4\u683c\u5316 \u2192 \u820d\u5165 \u2192 \u5224\u65ad\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\u201c\u5bf9\u9636\u201d\u5c31\u662f\u8ba9\u4e24\u4e2a\u64cd\u4f5c\u6570\u7684\u9636\u7801\u76f8\u540c\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u9636\u7801\u548c\u8865\u7801\u3001\u79fb\u7801\u7684\u5173\u7cfb<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u5bb9\u6613\u548c\u524d\u9762\u5b66\u7684\u8865\u7801\u6df7\u5728\u4e00\u8d77\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u6574\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int \u8d1f\u6570\u901a\u5e38\u7528\u8865\u7801\u8868\u793a\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982 <code>-1<\/code> \u7684 32 \u4f4d int \u901a\u5e38\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>FFFFFFFFH\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u5bf9\u4e8e\u6d6e\u70b9\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>float\/double \u6574\u4f53\u4e0d\u7528\u8865\u7801\u8868\u793a\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d + \u9636\u7801 + \u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d\uff1a\u7c7b\u4f3c\u539f\u7801\u601d\u60f3\uff0c0 \u6b63 1 \u8d1f\n\u9636\u7801\uff1a\u91c7\u7528\u504f\u7f6e\u8868\u793a\uff0c\u7c7b\u4f3c\u79fb\u7801\u601d\u60f3\n\u5c3e\u6570\uff1a\u4fdd\u5b58\u6709\u6548\u6570\u5b57\u7684\u5c0f\u6570\u90e8\u5206\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6d6e\u70b9\u6570\u548c\u524d\u9762\u77e5\u8bc6\u7684\u5173\u7cfb\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6574\u6570\uff1a\u91cd\u70b9\u662f\u8865\u7801\n\u6d6e\u70b9\u6570\uff1a\u91cd\u70b9\u662f\u7b26\u53f7\u4f4d\u3001\u9636\u7801\u504f\u7f6e\u3001\u5c3e\u6570\u89c4\u683c\u5316\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u91cc\u9762\u7684\u9636\u7801\u548c\u201c\u79fb\u7801\u201d\u66f4\u50cf\uff0c\u800c\u4e0d\u662f\u8865\u7801\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u5355\u7cbe\u5ea6 float \u7684\u9636\u7801\u8303\u56f4\u6709\u4ec0\u4e48\u610f\u4e49\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6 float\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5 8 \u4f4d\n\u504f\u7f6e\u503c 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">8 \u4f4d\u672c\u6765\u53ef\u4ee5\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 ~ 255\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5\u5168 0\uff1a\u7528\u4e8e 0 \u548c\u975e\u89c4\u683c\u5316\u6570\n\u9636\u7801\u5b57\u6bb5\u5168 1\uff1a\u7528\u4e8e\u65e0\u7a77\u5927\u548c NaN\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u89c4\u683c\u5316\u6570\u7684\u9636\u7801\u5b57\u6bb5\u53ea\u80fd\u53d6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 ~ 254\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u771f\u503c\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6700\u5c0f\u89c4\u683c\u5316\u9636\u7801\u771f\u503c = 1 - 127 = -126\n\u6700\u5927\u89c4\u683c\u5316\u9636\u7801\u771f\u503c = 254 - 127 = +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0cfloat \u89c4\u683c\u5316\u6570\u5927\u81f4\u53ef\u4ee5\u6709\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^(-126) \u5230 2^127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6837\u7684\u6570\u91cf\u7ea7\u8303\u56f4\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u9636\u7801\u7684\u4ef7\u503c\uff1a\u5b83\u8ba9 float \u80fd\u8868\u793a\u6781\u5927\u548c\u6781\u5c0f\u7684\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u6ce8\u610f\uff0c\u8303\u56f4\u5927\u4e0d\u4ee3\u8868\u6bcf\u4e2a\u6570\u90fd\u7cbe\u786e\u3002float \u7684\u7cbe\u5ea6\u4ecd\u7136\u7531\u5c3e\u6570\u51b3\u5b9a\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u7528\u4e00\u53e5\u8bdd\u628a\u5b83\u4e32\u8d77\u6765<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u6d6e\u70b9\u6570\u53ef\u4ee5\u7406\u89e3\u6210\u4e8c\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u503c = \u7b26\u53f7 \u00d7 \u6709\u6548\u6570\u5b57 \u00d7 2^\u6307\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u5230\u5b57\u6bb5\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d\uff1a\u8868\u793a\u6b63\u8d1f\n\u5c3e\u6570\uff1a\u8868\u793a\u6709\u6548\u6570\u5b57\n\u9636\u7801\uff1a\u8868\u793a\u6307\u6570\uff0c\u63a7\u5236\u5c0f\u6570\u70b9\u79fb\u52a8\u4f4d\u7f6e\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c float \u7684\u9636\u7801\u5b57\u6bb5\u4e0d\u662f\u76f4\u63a5\u5b58\u6307\u6570\uff0c\u800c\u662f\u5b58\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5 = \u9636\u7801\u771f\u503c + 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c 28 \u9898\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-8.25 = -1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684 <code>3<\/code> \u624d\u662f\u771f\u6b63\u7684\u9636\u7801\u771f\u503c\u3002\u56e0\u4e3a\u662f\u5355\u7cbe\u5ea6 float\uff0c\u673a\u5668\u4e2d\u9636\u7801\u5b57\u6bb5\u8981\u5b58\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 + 127 = 130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u540e\u53ef\u4ee5\u8bb0\u6210\u8003\u7814\u505a\u9898\u7248\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5148\u628a\u6570\u5199\u6210 \u00b11.xxxx\u2082 \u00d7 2^E\nE \u5c31\u662f\u9636\u7801\u771f\u503c\nfloat \u9636\u7801\u5b57\u6bb5 = E + 127\ndouble \u9636\u7801\u5b57\u6bb5 = E + 1023\n\u5c3e\u6570\u5b57\u6bb5\u53ea\u5b58 1.xxxx\u2082 \u4e2d\u5c0f\u6570\u70b9\u540e\u9762\u7684 xxxx\uff0c\u6700\u9ad8\u4f4d 1 \u9690\u85cf\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u4e0d\u662f\u4e00\u4e2a\u989d\u5916\u53c2\u4e0e\u52a0\u51cf\u7684\u666e\u901a\u6574\u6570\uff0c\u800c\u662f\u6d6e\u70b9\u6570\u4e2d\u7528\u4e8e\u8868\u793a\u6570\u91cf\u7ea7\u3001\u63a7\u5236\u5c0f\u6570\u70b9\u4f4d\u7f6e\u7684\u6307\u6570\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5355\u770b\u6587\u5b57\u8fd8\u662f\u4e0d\u592a\u7406\u89e3\uff0c\u4f60\u80fd\u4e0d\u80fd\u7528\u5177\u4f53\u7684\u56fe\u7247\u6216\u8005\u6bd4\u8f83\u76f4\u89c2\u7684\u56fe\u8868\u5f62\u5f0f\u5c06\u8fd9\u4e9b\u5185\u5bb9\u7ed9\u8054\u7cfb\u8d77\u6765\uff0cIEE754\u9636\u7801\u5b57\u6bb5\u5f53\u6210\u4e00\u4e2a\u65e0\u7b26\u53f7\u6570\u50a8\u5b58\uff0c\u7528\u4e8e\u6765\u8868\u793a\u8fd9\u4e2a\u5c0f\u6570\u70b9\u7684\u4f4d\u7f6e\uff0c\u4f46\u662f\u6574\u4e2a\u6d6e\u70b9\u6570\u7684\u6b63\u8d1f\u6027\u662f\u7531\u6d6e\u70b9\u6570\u4e2d\u7684\u5c3e\u6570\u90e8\u5206\u6765\u89e3\u51b3\uff0c\u4f46\u662f\u6211\u8fd8\u662f\u60f3\u77e5\u9053\u8fd9\u4e2a127\u504f\u7f6e\u662f\u600e\u4e48\u6765\u7684\uff1f\u80fd\u4ece\u8865\u7801\u7684\u5b9a\u4e49\u91cc\u4e2d\u63a8\u5012\u7c7b\u4f3c\u5417\uff1f\u6bd4\u65b9\u8bf4\u5f53\uff0c\u4e00\u4e2a\u6b63\u6570\u5230\u8fbe\u4e86127\u4e4b\u540e\uff0c\u5b83\u7684\u4e0b\u4e00\u6b65\u5c31\u53d8\u6210\u4e86\u8d1f\u6570\u5bf9\u5427\uff1f 127+1=-128<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u3002\u8fd9\u91cc\u5148\u628a\u4e00\u4e2a\u5173\u952e\u8bef\u89e3\u7ea0\u6b63\u4e00\u4e0b\uff1a<strong>IEEE 754 \u6d6e\u70b9\u6570\u7684\u6b63\u8d1f\u6027\u4e0d\u662f\u7531\u5c3e\u6570\u90e8\u5206\u89e3\u51b3\u7684\uff0c\u800c\u662f\u7531\u6700\u524d\u9762\u7684\u7b26\u53f7\u4f4d S \u51b3\u5b9a\u7684\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6 float \u7684\u7ed3\u6784\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502 \u7b26\u53f7\u4f4d \u2502   \u9636\u7801\u5b57\u6bb5    \u2502            \u5c3e\u6570\u5b57\u6bb5             \u2502\n\u2502  S   \u2502      e       \u2502              M                \u2502\n\u2502 1\u4f4d  \u2502     8\u4f4d      \u2502             23\u4f4d              \u2502\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u542b\u4e49\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>S\uff1a\u51b3\u5b9a\u6574\u4e2a\u6d6e\u70b9\u6570\u6b63\u8d1f\ne\uff1a\u9636\u7801\u5b57\u6bb5\uff0c\u6309\u65e0\u7b26\u53f7\u6570\u5b58\u50a8\nM\uff1a\u5c3e\u6570\u5b57\u6bb5\uff0c\u4fdd\u5b58\u6709\u6548\u6570\u5b57\u7684\u5c0f\u6570\u90e8\u5206\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\u6570\u7684\u771f\u503c\u53ef\u4ee5\u7406\u89e3\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6570\u503c = (-1)^S \u00d7 1.M \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S \u7ba1\u6b63\u8d1f\uff1b\n\u5c3e\u6570 M \u7ba1\u6709\u6548\u6570\u5b57\uff1b\n\u9636\u7801 E \u7ba1\u5c0f\u6570\u70b9\u79fb\u52a8\u4f4d\u7f6e\uff0c\u4e5f\u5c31\u662f\u6570\u91cf\u7ea7\u3002\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">1. \u5148\u7528 -8.25 \u753b\u4e00\u904d\u5b8c\u6574\u7ed3\u6784<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ee5\u7b2c 28 \u9898\u7684 <code>-8.25<\/code> \u4e3a\u4f8b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u628a\u7edd\u5bf9\u503c\u8f6c\u6210\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8.25 = 1000.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1000.01\u2082 = 1.00001\u2082 \u00d7 2^3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\uff0c\u56e0\u4e3a\u539f\u6570\u662f\u8d1f\u6570\n\u9636\u7801\u771f\u503c E = 3\uff0c\u56e0\u4e3a\u5c0f\u6570\u70b9\u4ece 1.00001\u2082 \u79fb\u5230 1000.01\u2082\uff0c\u9700\u8981\u53f3\u79fb 3 \u4f4d\n\u5c3e\u6570\u90e8\u5206 M = 00001 \u540e\u9762\u8865 0\uff0c\u56e0\u4e3a\u6700\u9ad8\u4f4d\u7684 1 \u88ab\u9690\u85cf\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6 float \u7684\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\u9636\u7801\u5b57\u6bb5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = E + 127 = 3 + 127 = 130\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">130 \u5199\u6210 8 \u4f4d\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>130 = 10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f\u6574\u4e2a float \u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u250c\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502 S \u2502    e     \u2502            M            \u2502\n\u251c\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502 1 \u2502 10000010 \u2502 00001000000000000000000 \u2502\n\u2514\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u628a\u8fd9\u4e09\u90e8\u5206\u8fde\u8d77\u6765\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 10000010 00001000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5b83\u7684\u542b\u4e49\u4e0d\u662f\u201c\u5c3e\u6570\u4e3a\u8d1f\u201d\uff0c\u800c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^1 \u00d7 1.00001\u2082 \u00d7 2^3\n= -8.25\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">2. \u9636\u7801\u5b57\u6bb5 e \u548c\u9636\u7801\u771f\u503c E \u4e0d\u662f\u4e00\u4e2a\u4e1c\u897f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u662f\u7406\u89e3\u504f\u7f6e\u503c\u6700\u91cd\u8981\u7684\u4e00\u6b65\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u771f\u503c E\uff1a\u771f\u6b63\u53c2\u4e0e 2^E \u7684\u6307\u6570\n\u9636\u7801\u5b57\u6bb5 e\uff1a\u673a\u5668\u4e2d\u5b58\u7684 8 \u4f4d\u65e0\u7b26\u53f7\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8005\u5173\u7cfb\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = E + 127\nE = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u673a\u5668\u91cc\u4e0d\u76f4\u63a5\u5b58 <code>E = 3<\/code>\uff0c\u800c\u662f\u5b58\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>3 + 127 = 130\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u753b\u6210\u8fd9\u6837\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>          \u9636\u7801\u771f\u503c E                    \u9636\u7801\u5b57\u6bb5 e\n      \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510              \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n      \u2502     +3      \u2502  \u52a0\u504f\u7f6e127    \u2502     130     \u2502\n      \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2192 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n                                        \u2502\n                                        \u25bc\n                                   10000010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd8\u539f\u65f6\u53cd\u8fc7\u6765\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>          \u9636\u7801\u5b57\u6bb5 e                    \u9636\u7801\u771f\u503c E\n      \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510              \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n      \u2502     130     \u2502  \u51cf\u504f\u7f6e127    \u2502     +3      \u2502\n      \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518 \u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2192 \u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 <code>127<\/code> \u7684\u4f5c\u7528\u4e0d\u662f\u6539\u53d8\u6570\u503c\u672c\u8eab\uff0c\u800c\u662f\u8ba9\u201c\u53ef\u80fd\u4e3a\u8d1f\u7684\u6307\u6570\u201d\u53ef\u4ee5\u5b58\u5230\u4e00\u4e2a\u201c\u65e0\u7b26\u53f7\u9636\u7801\u5b57\u6bb5\u201d\u91cc\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">3. \u7528\u8868\u683c\u770b\uff1a\u4e3a\u4ec0\u4e48 e \u5f53\u65e0\u7b26\u53f7\u6570\u65f6\u4e0d\u4f1a\u53d8\u6210 -128<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f60\u63d0\u5230\u7684\u201c127 + 1 = -128\u201d\uff0c\u8fd9\u662f<strong>8 \u4f4d\u8865\u7801\u89e3\u91ca<\/strong>\u4e0b\u7684\u73b0\u8c61\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u7684\u9636\u7801\u5b57\u6bb5\u4e0d\u662f\u6309\u8865\u7801\u89e3\u91ca\uff0c\u800c\u662f\u6309<strong>\u65e0\u7b26\u53f7\u6570\u89e3\u91ca<\/strong>\u3002\u540c\u6837\u7684 8 \u4f4d\u4e8c\u8fdb\u5236\uff0c\u5728\u4e0d\u540c\u89e3\u91ca\u89c4\u5219\u4e0b\u542b\u4e49\u4e0d\u540c\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u4f4d\u6a21\u5f0f<\/th><th>\u6309 8 \u4f4d\u65e0\u7b26\u53f7\u6570\u89e3\u91ca<\/th><th>\u6309 8 \u4f4d\u8865\u7801\u89e3\u91ca<\/th><th>IEEE 754 \u5355\u7cbe\u5ea6\u9636\u7801\u542b\u4e49<\/th><\/tr><\/thead><tbody><tr><td><code>01111111<\/code><\/td><td>127<\/td><td>127<\/td><td><code>E = 127 - 127 = 0<\/code><\/td><\/tr><tr><td><code>10000000<\/code><\/td><td>128<\/td><td>-128<\/td><td><code>E = 128 - 127 = +1<\/code><\/td><\/tr><tr><td><code>10000001<\/code><\/td><td>129<\/td><td>-127<\/td><td><code>E = 129 - 127 = +2<\/code><\/td><\/tr><tr><td><code>11111110<\/code><\/td><td>254<\/td><td>-2<\/td><td><code>E = 254 - 127 = +127<\/code><\/td><\/tr><tr><td><code>11111111<\/code><\/td><td>255<\/td><td>-1<\/td><td>\u7279\u6b8a\u503c\uff1a\u65e0\u7a77\u5927\u6216 NaN<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5728 IEEE 754 \u9636\u7801\u5b57\u6bb5\u91cc\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000000\u2082 \u4e0d\u662f -128\n10000000\u2082 \u662f\u65e0\u7b26\u53f7\u6570 128\n\u9636\u7801\u771f\u503c E = 128 - 127 = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u201c127 + 1 = -128\u201d\u53ea\u5728\u8865\u7801\u8bed\u5883\u4e2d\u6210\u7acb\uff1b\nIEEE 754 \u9636\u7801\u5b57\u6bb5\u4e0d\u6309\u8865\u7801\u89e3\u91ca\uff0c\u6240\u4ee5\u4e0d\u4f1a\u53d1\u751f\u8fd9\u4e2a\u8df3\u53d8\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e00\u70b9\u662f\u6700\u5173\u952e\u7684\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">4. \u7528\u4e00\u6761\u6570\u8f74\u770b\u504f\u7f6e\u6620\u5c04<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u9636\u7801\u5b57\u6bb5\u6709 8 \u4f4d\u3002\u673a\u5668\u4e2d\u9636\u7801\u5b57\u6bb5 <code>e<\/code> \u6309\u65e0\u7b26\u53f7\u6570\u770b\uff0c\u672c\u6765\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0 ~ 255\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46 IEEE 754 \u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 0     \u4fdd\u7559\u7ed9 0 \u548c\u975e\u89c4\u683c\u5316\u6570\ne = 255   \u4fdd\u7559\u7ed9\u65e0\u7a77\u5927\u548c NaN\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\u6570\u771f\u6b63\u4f7f\u7528\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 1 ~ 254\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u9636\u7801\u771f\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6620\u5c04\u5173\u7cfb\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u9636\u7801\u5b57\u6bb5 e\uff1a  0      1      2      ...    126    127    128    ...    254     255\n             \u2502      \u2502      \u2502              \u2502      \u2502      \u2502             \u2502       \u2502\n             \u2502      \u25bc      \u25bc              \u25bc      \u25bc      \u25bc             \u25bc       \u2502\n\u9636\u7801\u771f\u503c E\uff1a \u7279\u6b8a   -126   -125    ...    -1      0     +1     ...    +127    \u7279\u6b8a\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 127 \u65f6\uff0cE = 0\ne = 128 \u65f6\uff0cE = +1\ne = 126 \u65f6\uff0cE = -1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u50cf\u628a\u6307\u6570\u6570\u8f74\u6574\u4f53\u5411\u53f3\u5e73\u79fb\u4e86 127\uff0c\u4f7f\u5f97\u8d1f\u6307\u6570\u4e5f\u80fd\u7528\u975e\u8d1f\u7684\u5b57\u6bb5\u503c\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/IEEE-754-\u5355\u7cbe\u5ea6\u9636\u7801\u5b57\u6bb5\u4e0e\u9636\u7801\u771f\u503c\u7684\u5bf9\u5e94\u5173\u7cfb.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"864\" height=\"486\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/IEEE-754-\u5355\u7cbe\u5ea6\u9636\u7801\u5b57\u6bb5\u4e0e\u9636\u7801\u771f\u503c\u7684\u5bf9\u5e94\u5173\u7cfb.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2347\"  sizes=\"auto, (max-width: 864px) 100vw, 864px\" \/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5f20\u56fe\u7684\u6838\u5fc3\u4e0d\u662f\u66f2\u7ebf\u5f62\u72b6\uff0c\u800c\u662f\u5bf9\u5e94\u5173\u7cfb\uff1a<code>e<\/code> \u6bcf\u589e\u52a0 1\uff0c<code>E<\/code> \u4e5f\u589e\u52a0 1\uff0c\u53ea\u662f\u6574\u4f53\u5dee\u4e86\u4e00\u4e2a 127\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5. 127 \u5230\u5e95\u600e\u4e48\u6765\u7684\uff1f\u4e0d\u662f\u4ece\u8865\u7801\u63a8\u51fa\u6765\u7684<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><code>127<\/code> \u4e0d\u662f\u7531\u8865\u7801\u5b9a\u4e49\u63a8\u51fa\u6765\u7684\u3002\u5b83\u6765\u81ea IEEE 754 \u5bf9 k \u4f4d\u9636\u7801\u5b57\u6bb5\u7684\u504f\u7f6e\u89c4\u5b9a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(k-1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6 float \u7684\u9636\u7801\u5b57\u6bb5\u662f 8 \u4f4d\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(8-1) - 1\n     = 2^7 - 1\n     = 128 - 1\n     = 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53cc\u7cbe\u5ea6 double \u7684\u9636\u7801\u5b57\u6bb5\u662f 11 \u4f4d\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>Bias = 2^(11-1) - 1\n     = 2^10 - 1\n     = 1023\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u548c\u8865\u7801\u7684\u8054\u7cfb\u53ea\u80fd\u8bf4\u662f\uff1a\u4e8c\u8005\u90fd\u5728\u89e3\u51b3\u201c\u5982\u4f55\u7528\u56fa\u5b9a\u4f4d\u6570\u8868\u793a\u6b63\u8d1f\u6570\u201d\u7684\u95ee\u9898\uff0c\u4f46\u65b9\u6cd5\u4e0d\u540c\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8865\u7801\uff1a\u628a\u6700\u9ad8\u4f4d\u89e3\u91ca\u6210\u8d1f\u6743\u503c\n\u504f\u7f6e\u8868\u793a\uff1a\u5148\u7ed9\u771f\u503c\u52a0\u4e00\u4e2a\u56fa\u5b9a\u504f\u79fb\u91cf\uff0c\u518d\u6309\u65e0\u7b26\u53f7\u6570\u5b58\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e24\u8005\u4e0d\u662f\u540c\u4e00\u4e2a\u7f16\u7801\u4f53\u7cfb\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">6. 8 \u4f4d\u8865\u7801\u548c 8 \u4f4d\u504f\u7f6e\u9636\u7801\u7684\u672c\u8d28\u533a\u522b<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">8 \u4f4d\u8865\u7801<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">8 \u4f4d\u8865\u7801\u7684\u6743\u503c\u53ef\u4ee5\u7406\u89e3\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>b7 b6 b5 b4 b3 b2 b1 b0\n\n\u6570\u503c = -b7\u00d7128 + b6\u00d764 + b5\u00d732 + ... + b0\u00d71\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01111111\u2082 = 127\n10000000\u2082 = -128\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u6700\u9ad8\u4f4d <code>b7 = 1<\/code> \u65f6\uff0c\u5b83\u4ee3\u8868\u7684\u662f <code>-128<\/code> \u7684\u8d1f\u6743\u503c\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">IEEE 754 \u9636\u7801\u5b57\u6bb5<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u7684\u9636\u7801\u5b57\u6bb5\u5148\u6309\u65e0\u7b26\u53f7\u6570\u8bfb\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>b7 b6 b5 b4 b3 b2 b1 b0\n\ne = b7\u00d7128 + b6\u00d764 + b5\u00d732 + ... + b0\u00d71\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u518d\u8ba1\u7b97\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = e - 127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>01111111\u2082 = \u65e0\u7b26\u53f7 127 \u2192 E = 127 - 127 = 0\n10000000\u2082 = \u65e0\u7b26\u53f7 128 \u2192 E = 128 - 127 = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u4e8c\u8005\u6700\u6839\u672c\u7684\u533a\u522b\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u628a\u5b83\u6574\u7406\u6210\u4e00\u53e5\u8bdd\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u8865\u7801\u662f\u201c\u4f4d\u6a21\u5f0f\u76f4\u63a5\u5e26\u7b26\u53f7\u89e3\u91ca\u201d\uff1b\n\u9636\u7801\u504f\u7f6e\u662f\u201c\u4f4d\u6a21\u5f0f\u5148\u6309\u65e0\u7b26\u53f7\u6570\u89e3\u91ca\uff0c\u518d\u6574\u4f53\u51cf\u504f\u7f6e\u201d\u3002\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">7. \u4e3a\u4ec0\u4e48 IEEE 754 \u4e0d\u76f4\u63a5\u7528\u8865\u7801\u8868\u793a\u9636\u7801\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u8003\u7814\u4e2d\u4e0d\u5fc5\u6df1\u5165\u786c\u4ef6\u8bbe\u8ba1\uff0c\u4f46\u9700\u8981\u77e5\u9053\u504f\u7f6e\u8868\u793a\u6709\u4e00\u4e2a\u76f4\u63a5\u597d\u5904\uff1a<strong>\u9636\u7801\u5b57\u6bb5\u8d8a\u5927\uff0c\u9636\u7801\u771f\u503c\u4e5f\u8d8a\u5927\uff0c\u6bd4\u8f83\u5927\u5c0f\u66f4\u65b9\u4fbf\u3002<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = -1  \u2192 e = 126 \u2192 01111110\nE =  0  \u2192 e = 127 \u2192 01111111\nE = +1  \u2192 e = 128 \u2192 10000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u628a <code>e<\/code> \u5f53\u65e0\u7b26\u53f7\u6570\u770b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>126 &lt; 127 &lt; 128\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u521a\u597d\u5bf9\u5e94\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-1 &lt; 0 &lt; +1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u79cd\u987a\u5e8f\u5173\u7cfb\u5f88\u81ea\u7136\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9636\u7801\u7528\u8865\u7801\uff0c\u8d1f\u9636\u7801\u7684\u4f4d\u6a21\u5f0f\u4f1a\u6392\u5230\u5f88\u5927\u7684\u65e0\u7b26\u53f7\u503c\u533a\u57df\u91cc\uff0c\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-1 \u7684 8 \u4f4d\u8865\u7801 = 11111111\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6837\u5728\u786c\u4ef6\u6bd4\u8f83\u3001\u6392\u5e8f\u3001\u89c4\u683c\u5316\u5904\u7406\u65f6\u4e0d\u5982\u504f\u7f6e\u9636\u7801\u65b9\u4fbf\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 IEEE 754 \u9009\u62e9\u504f\u7f6e\u9636\u7801\uff0c\u800c\u4e0d\u662f\u8865\u7801\u9636\u7801\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">8. \u4e3a\u4ec0\u4e48\u504f\u7f6e\u662f 127\uff0c\u800c\u4e0d\u662f 128\uff1f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u201c\u666e\u901a\u79fb\u7801\u201d\u76f4\u89c9\u770b\uff0c8 \u4f4d\u5982\u679c\u60f3\u5e73\u79fb\uff0c\u4f3c\u4e4e\u53ef\u4ee5\u7528 128\u3002\u4f46 IEEE 754 \u7528\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^(k-1) - 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e 8 \u4f4d\u5c31\u662f 127\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u91cd\u8981\u539f\u56e0\u662f IEEE 754 \u8981\u628a\u9636\u7801\u5b57\u6bb5\u5168 0 \u548c\u5168 1 \u7559\u4f5c\u7279\u6b8a\u7528\u9014\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00000000\uff1a0 \u548c\u975e\u89c4\u683c\u5316\u6570\n11111111\uff1a\u65e0\u7a77\u5927\u548c NaN\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u89c4\u683c\u5316\u6570\u53ea\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00000001 ~ 11111110\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5373\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 1 ~ 254\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c Bias = 127\uff0c\u5219\u89c4\u683c\u5316\u9636\u7801\u771f\u503c\u8303\u56f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 1   \u2192 E = 1 - 127 = -126\ne = 254 \u2192 E = 254 - 127 = +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5355\u7cbe\u5ea6\u89c4\u683c\u5316\u9636\u7801\u8303\u56f4\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-126 ~ +127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u8303\u56f4\u7565\u5fae\u504f\u5411\u6b63\u6570\u4e00\u4fa7\uff0c\u5e76\u4e14\u914d\u5408\u7279\u6b8a\u9636\u7801\u5b57\u6bb5\u5b8c\u6210 0\u3001\u975e\u89c4\u683c\u5316\u6570\u3001\u65e0\u7a77\u5927\u3001NaN \u7684\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5bf9\u4e8e\u8003\u7814\u6765\u8bf4\uff0c\u4e0d\u8981\u5c1d\u8bd5\u4ece\u8865\u7801\u7684 <code>-128 ~ +127<\/code> \u53bb\u5f3a\u884c\u63a8\u51fa IEEE 754 \u7684\u504f\u7f6e\u3002\u5e94\u8be5\u8bb0\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>IEEE 754 k \u4f4d\u9636\u7801\u504f\u7f6e = 2^(k-1) - 1\nfloat\uff1ak = 8\uff0cBias = 127\ndouble\uff1ak = 11\uff0cBias = 1023\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">9. \u628a float \u7684\u4e09\u4e2a\u5b57\u6bb5\u653e\u5230\u4e00\u5f20\u201c\u804c\u8d23\u56fe\u201d\u91cc<\/h2>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4ee5\u89c4\u683c\u5316 float \u4e3a\u4f8b\uff1a\n\n\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502                        32 \u4f4d float                         \u2502\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502 \u7b26\u53f7\u4f4d S  \u2502      \u9636\u7801\u5b57\u6bb5 e      \u2502         \u5c3e\u6570\u5b57\u6bb5 M          \u2502\n\u2502   1\u4f4d     \u2502        8\u4f4d          \u2502           23\u4f4d             \u2502\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502 \u51b3\u5b9a\u6b63\u8d1f  \u2502 \u5148\u6309\u65e0\u7b26\u53f7\u6570\u8bfb\u53d6 e   \u2502 \u4fdd\u5b58 1.M \u4e2d\u5c0f\u6570\u70b9\u540e\u7684\u90e8\u5206   \u2502\n\u2502 0 \u6b63 1 \u8d1f \u2502 \u518d E = e - 127      \u2502 \u6700\u9ad8\u4f4d 1 \u9690\u85cf\u4e0d\u5b58           \u2502\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n\n\u6700\u7ec8\u771f\u503c\uff1a\n\n(-1)^S \u00d7 1.M \u00d7 2^E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e <code>-8.25<\/code>\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-8.25 = -1.00001\u2082 \u00d7 2^3\n\n\u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u252c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n\u2502 \u7b26\u53f7\u4f4d S       \u2502 \u9636\u7801\u5b57\u6bb5 e             \u2502 \u5c3e\u6570\u5b57\u6bb5 M             \u2502\n\u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u253c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2524\n\u2502 1             \u2502 3 + 127 = 130         \u2502 00001 \u540e\u8865 0           \u2502\n\u2502 \u8868\u793a\u8d1f\u6570       \u2502 10000010\u2082             \u2502 \u8868\u793a\u6709\u6548\u6570\u5b57 .00001     \u2502\n\u2514\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2518\n<\/code><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\">10. \u6700\u540e\u7528\u4e00\u53e5\u8003\u7814\u5f0f\u5224\u65ad\u6cd5\u6536\u675f<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u770b\u5230 IEEE 754 \u5355\u7cbe\u5ea6\u9898\uff0c\u4e0d\u8981\u628a\u9636\u7801\u5b57\u6bb5\u5f53\u8865\u7801\u770b\u3002\u56fa\u5b9a\u6d41\u7a0b\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b2c\u4e00\u6b65\uff1a\u628a\u6570\u5199\u6210 \u00b11.xxxx\u2082 \u00d7 2^E\n\u7b2c\u4e8c\u6b65\uff1a\u7b26\u53f7\u4f4d S \u770b\u6b63\u8d1f\n\u7b2c\u4e09\u6b65\uff1a\u9636\u7801\u5b57\u6bb5 e = E + 127\n\u7b2c\u56db\u6b65\uff1a\u5c3e\u6570\u5b57\u6bb5 M \u53ea\u5b58 xxxx\uff0c\u4e0d\u5b58\u9690\u85cf\u7684\u6700\u9ad8\u4f4d 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u4f60\u8bf4\u7684 <code>127 + 1 = -128<\/code>\uff0c\u5e94\u5f53\u8fd9\u6837\u6539\u6b63\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5982\u679c\u662f 8 \u4f4d\u8865\u7801\uff0c01111111 + 1 = 10000000\uff0c\u89e3\u91ca\u4e3a -128\uff1b\n\u5982\u679c\u662f IEEE 754 \u9636\u7801\u5b57\u6bb5\uff0c10000000 \u6309\u65e0\u7b26\u53f7\u6570\u89e3\u91ca\u4e3a 128\uff0c\u518d\u51cf 127\uff0c\u5f97\u5230\u9636\u7801\u771f\u503c +1\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e8c\u8005\u7684\u4f4d\u6a21\u5f0f\u53ef\u80fd\u4e00\u6837\uff0c\u4f46\u89e3\u91ca\u89c4\u5219\u5b8c\u5168\u4e0d\u540c\u3002IEEE 754 \u7684\u9636\u7801\u5b57\u6bb5\u662f\u201c\u65e0\u7b26\u53f7\u6570 + \u504f\u7f6e\u89e3\u91ca\u201d\uff0c\u4e0d\u662f\u8865\u7801\u89e3\u91ca\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u67d0\u8ba1\u7b97\u673a\u5b58\u50a8\u5668\u6309\u5b57\u8282\u7f16\u5740\uff0c\u91c7\u7528\u5c0f\u7aef\u65b9\u5f0f\u5b58\u653e\u6570\u636e\u3002\u5047\u5b9a\u7f16\u8bd1\u5668\u89c4\u5b9a int\u578b\u548c short \u578b\u957f\u5ea6\u5206\u522b\u4e3a 32\u4f4d\u548c 16\u4f4d\uff0c\u5e76\u4e14\u6570\u636e\u6309\u8fb9\u754c\u5bf9\u9f50\u5b58\u50a8\u3002\u67d0 C\u8bed\u8a00\u7a0b\u5e8f\u6bb5\u5982\u4e0b:<br>struct{<br>int a\uff1b<br>char b:\uff1b<br>short C\uff1b<br>}record;<br>record.a= 273;<br>\u82e5record \u53d8\u91cf\u7684\u9996\u5730\u5740\u4e3a0xC008\uff0c\u5730\u57400xC008\u4e2d\u7684\u5185\u5bb9\u53carecord.c\u7684\u5730\u5740\u5206\u522b\u4e3a()\u3002A.0x00,0xC00DB0x00,0xC00EC0x11,0xC00DD0x11,0xC00E \uff0c\u4f60\u80fd\u8ddf\u6211\u8bb2\u4e00\u4e0b\u5b83\u8fd9\u4e2a\u636e\u6309\u8fb9\u754c\u5bf9\u9f50\u65b9\u5f0f\u50a8\u5b58\uff0c\u7a76\u7adf\u662f\u6309\u54ea\u4e00\u79cd\u8fb9\u754c\u6765\u5bf9\u9f50\u5462\uff1f\u4e3a\u4ec0\u4e48\u4e0d\u662fa\u7ed94B,\u6210\u5458b\u7ed9\u56db\u4e2aB,\u6210\u5458c\u4e5f\u6709\u56db\u4e2aB\u5462\uff1f<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u7b54\u6848\u5e94\u9009 <strong>D\uff1a0x11\uff0c0xC00E<\/strong>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684\u7ed3\u6784\u4f53\u53ef\u4ee5\u6309\u4e0b\u9762\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct {\n    int   a;   \/\/ 4B\n    char  b;   \/\/ 1B\n    short c;   \/\/ 2B\n} record;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u8bf4\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">int \u578b 32 \u4f4d\uff0cshort \u578b 16 \u4f4d\uff0c\u6570\u636e\u6309\u8fb9\u754c\u5bf9\u9f50\u5b58\u50a8\u3002<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 408 \u8fd9\u7c7b\u9898\u4e2d\uff0c\u201c\u6309\u8fb9\u754c\u5bf9\u9f50\u201d\u901a\u5e38\u4e0d\u662f\u8bf4\u6240\u6709\u6210\u5458\u90fd\u6309 4B \u5206\u914d\u7a7a\u95f4\uff0c\u800c\u662f\u8bf4\uff1a<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\">\u6bcf\u4e2a\u6210\u5458\u53d8\u91cf\u7684\u8d77\u59cb\u5730\u5740\uff0c\u8981\u6309\u5b83\u81ea\u8eab\u7c7b\u578b\u7684\u957f\u5ea6\u8fb9\u754c\u5bf9\u9f50\u3002<\/p>\n<\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7c7b\u578b<\/th><th>\u5360\u7528\u7a7a\u95f4<\/th><th>\u5e38\u89c1\u5bf9\u9f50\u8981\u6c42<\/th><\/tr><\/thead><tbody><tr><td>char<\/td><td>1B<\/td><td>\u5730\u5740\u4efb\u610f\uff0c1 \u5b57\u8282\u5bf9\u9f50<\/td><\/tr><tr><td>short<\/td><td>2B<\/td><td>\u8d77\u59cb\u5730\u5740\u662f 2 \u7684\u6574\u6570\u500d<\/td><\/tr><tr><td>int<\/td><td>4B<\/td><td>\u8d77\u59cb\u5730\u5740\u662f 4 \u7684\u6574\u6570\u500d<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e0d\u662f <code>a<\/code> \u5360 4B\u3001<code>b<\/code> \u4e5f\u5360 4B\u3001<code>c<\/code> \u4e5f\u5360 4B\u3002<br><strong>\u5bf9\u9f50\u4e0d\u662f\u201c\u6bcf\u4e2a\u6210\u5458\u90fd\u8865\u6210 4B\u201d\uff0c\u800c\u662f\u201c\u6210\u5458\u8d77\u59cb\u5730\u5740\u6ee1\u8db3\u81ea\u5df1\u7684\u8fb9\u754c\u8981\u6c42\u201d\u3002<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">record \u7684\u9996\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>record \u9996\u5730\u5740 = 0xC008\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a <code>a<\/code> \u662f <code>int<\/code>\uff0c\u5360 4B\uff0c\u800c\u4e14 0xC008 \u6b63\u597d\u662f 4 \u7684\u6574\u6570\u500d\uff0c\u6240\u4ee5 <code>a<\/code> \u4ece 0xC008 \u5f00\u59cb\u5b58\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>a \u5360\u7528\uff1a\n0xC008\n0xC009\n0xC00A\n0xC00B\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>record.a = 273\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">273 \u8f6c\u6210\u5341\u516d\u8fdb\u5236\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>273 = 0x00000111\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\u91c7\u7528\u5c0f\u7aef\u65b9\u5f0f\u5b58\u653e\uff0c\u4f4e\u5b57\u8282\u653e\u4f4e\u5730\u5740\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0x00000111 \u62c6\u6210 4 \u4e2a\u5b57\u8282\uff1a\n\n\u9ad8\u5730\u5740\u65b9\u5411\n00 00 01 11\n\n\u5c0f\u7aef\u5b58\u50a8\uff1a\n\u4f4e\u5730\u5740\u5b58\u4f4e\u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5185\u5b58\u4e2d\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740        \u5185\u5bb9\n0xC008     0x11\n0xC009     0x01\n0xC00A     0x00\n0xC00B     0x00\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5730\u5740 <code>0xC008<\/code> \u4e2d\u7684\u5185\u5bb9\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0x11\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u63a5\u7740\u770b <code>b<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>b<\/code> \u662f <code>char<\/code>\uff0c\u5360 1B\u3002<code>a<\/code> \u5df2\u7ecf\u5360\u7528\u4e86 0xC008 \u5230 0xC00B\uff0c\u6240\u4ee5\u4e0b\u4e00\u4e2a\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00C\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>char<\/code> \u53ea\u8981\u6c42 1 \u5b57\u8282\u5bf9\u9f50\uff0c\u4efb\u4f55\u5730\u5740\u90fd\u53ef\u4ee5\uff0c\u6240\u4ee5 <code>b<\/code> \u76f4\u63a5\u653e\u5728\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>b \u5730\u5740 = 0xC00C\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5360\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00C\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e\u770b <code>c<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>c<\/code> \u662f <code>short<\/code>\uff0c\u5360 2B\uff0c\u8981\u6c42\u8d77\u59cb\u5730\u5740\u662f 2 \u7684\u6574\u6570\u500d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>b<\/code> \u5360\u5b8c\u4ee5\u540e\uff0c\u4e0b\u4e00\u4e2a\u53ef\u7528\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00D\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00D \u662f\u5947\u5730\u5740\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4e0d\u662f 2 \u7684\u6574\u6570\u500d\uff0c\u6240\u4ee5\u4e0d\u80fd\u4f5c\u4e3a <code>short c<\/code> \u7684\u8d77\u59cb\u5730\u5740\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u7f16\u8bd1\u5668\u4f1a\u5728 <code>b<\/code> \u540e\u9762\u586b\u5145 1 \u4e2a\u5b57\u8282\u7684\u7a7a\u6d1e\uff0c\u4e5f\u5c31\u662f padding\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00D\uff1a\u586b\u5145\u5b57\u8282\uff0c\u4e0d\u5c5e\u4e8e\u4efb\u4f55\u6210\u5458\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7136\u540e <code>c<\/code> \u4ece\u4e0b\u4e00\u4e2a\u5076\u5730\u5740\u5f00\u59cb\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>c \u5730\u5740 = 0xC00E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>c<\/code> \u5360\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00E\n0xC00F\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 <code>record.c<\/code> \u7684\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0xC00E\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u6574\u4f53\u5e03\u5c40\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740        \u5185\u5bb9\/\u6210\u5458\n0xC008     a \u7684\u7b2c 1 \u5b57\u8282\uff1a0x11\n0xC009     a \u7684\u7b2c 2 \u5b57\u8282\uff1a0x01\n0xC00A     a \u7684\u7b2c 3 \u5b57\u8282\uff1a0x00\n0xC00B     a \u7684\u7b2c 4 \u5b57\u8282\uff1a0x00\n0xC00C     b\uff0c\u5360 1B\n0xC00D     padding\uff0c\u5bf9\u9f50\u586b\u5145\u5b57\u8282\n0xC00E     c \u7684\u7b2c 1 \u5b57\u8282\n0xC00F     c \u7684\u7b2c 2 \u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740 0xC008 \u4e2d\u7684\u5185\u5bb9 = 0x11\nrecord.c \u7684\u5730\u5740 = 0xC00E\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>D. 0x11, 0xC00E\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u6700\u5bb9\u6613\u9519\u5728\u628a\u201c\u8fb9\u754c\u5bf9\u9f50\u201d\u7406\u89e3\u6210\u201c\u6bcf\u4e2a\u6210\u5458\u90fd\u6309\u6700\u5927\u6210\u5458\u957f\u5ea6\u5206\u914d\u7a7a\u95f4\u201d\u3002\u8fd9\u662f\u4e0d\u5bf9\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u66f4\u51c6\u786e\u7684\u8003\u7814\u505a\u9898\u89c4\u5219\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6210\u5458\u6309\u58f0\u660e\u987a\u5e8f\u4f9d\u6b21\u5b58\u653e\uff1b\n\u6bcf\u4e2a\u6210\u5458\u7684\u8d77\u59cb\u5730\u5740\u5fc5\u987b\u662f\u81ea\u8eab\u5bf9\u9f50\u8fb9\u754c\u7684\u6574\u6570\u500d\uff1b\n\u4e0d\u6ee1\u8db3\u65f6\uff0c\u5728\u524d\u4e00\u4e2a\u6210\u5458\u540e\u9762\u586b\u5145\u82e5\u5e72\u7a7a\u5b57\u8282\uff1b\n\u7ed3\u6784\u4f53\u6574\u4f53\u5927\u5c0f\u901a\u5e38\u8fd8\u8981\u8865\u9f50\u5230\u6700\u5927\u6210\u5458\u5bf9\u9f50\u8fb9\u754c\u7684\u6574\u6570\u500d\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u6700\u5927\u6210\u5458\u662f <code>int<\/code>\uff0c\u5bf9\u9f50\u8fb9\u754c\u662f 4B\u3002\u6700\u540e\u7ed3\u6784\u4f53\u5b9e\u9645\u5360\u7528\u5230 0xC00F\uff0c\u521a\u597d\u603b\u5927\u5c0f\u662f 8B\uff0c\u5df2\u7ecf\u662f 4 \u7684\u6574\u6570\u500d\uff0c\u6240\u4ee5\u5c3e\u90e8\u4e0d\u9700\u8981\u518d\u989d\u5916\u586b\u5145\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/3138-1024x768.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/3138-1024x768.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2350\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u7ed9\u7b54\u6848\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">31 A<br>32 A<br>33 D<br>34 A<br>35 A<br>36 A<br>37 D<br>38 A<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u9762\u9010\u9898\u8bb2\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">31 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\u51fa\u7684 IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u673a\u5668\u6570\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C640 0000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u8f6c\u6210\u4e8c\u8fdb\u5236\u770b\u7ed3\u6784\u3002IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>C6400000H<\/code> \u7684\u6700\u9ad8\u4f4d\u662f 1\uff0c\u6240\u4ee5\u7b26\u53f7\u4e3a\u8d1f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ee7\u7eed\u62c6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C6400000H\n= 1100 0110 0100 0000 0000 0000 0000 0000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u62c6\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\n\n\u9636\u7801 E = 10001100\u2082 = 140\n\n\u5c3e\u6570\u5b57\u6bb5 M = 10000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u7684\u9636\u7801\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\u771f\u5b9e\u9636\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 140 - 127 = 13\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\u6570\u7684\u5c3e\u6570\u524d\u9762\u9690\u85cf\u4e00\u4e2a 1\uff0c\u6240\u4ee5\u6709\u6548\u5c3e\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.1\u2082 = 1.5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u8be5\u6570\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-1.5 \u00d7 2\u00b9\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 31 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b\u9898\u7684\u56fa\u5b9a\u505a\u6cd5\u5c31\u662f\uff1a\u770b\u6700\u9ad8\u4f4d\u5b9a\u6b63\u8d1f\uff0c\u770b 8 \u4f4d\u9636\u7801\u51cf 127\uff0c\u770b\u5c3e\u6570\u5b57\u6bb5\u524d\u9762\u8865\u9690\u85cf\u7684 1\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u5173\u4e8e31\u9898\u4f60\u7ed9\u51fa\u7684\u89e3\u7b54\u4e2d10001100\u2082,1.1\u2082 = 1.5\u8fd9\u4e48\u540e\u9762\u7684\u8fd9\u4e2a\u4e0b\u6807z\u662f\u4ec0\u4e48\u610f\u601d\u4ee5\u53ca\u4f60\u7ed9\u6211\u7684\u89c4\u683c\u5316\u5c3e\u6570\uff0c\u524d\u9762\u9690\u85cf\u4e86\u4e00\u4e2a\u4e00\u6240\u4ee5\u6709\u6548\u5c3e\u65701.1\u2082 = 1.5\uff0c\u8fd9\u4e2a\u662f\u600e\u4e48\u63a8\u5bfc\u51fa\u6765\u7684\uff1f\u80fd\u4e0d\u80fd\u7a0d\u5fae\u8bb2\u7684\u8be6\u7ec6\u4e00\u70b9\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u7684\u4e0b\u6807\u4e0d\u662f <code>z<\/code>\uff0c\u800c\u662f <code>\u2082<\/code>\uff0c\u8868\u793a\u201c\u4e8c\u8fdb\u5236\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10001100\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8bfb\u4f5c\u201c\u4e8c\u8fdb\u5236\u6570 10001100\u201d\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u5199\u6210\u5341\u8fdb\u5236\uff0c\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10001100\u2082 = 1\u00d72\u2077 + 0\u00d72\u2076 + 0\u00d72\u2075 + 0\u00d72\u2074 + 1\u00d72\u00b3 + 1\u00d72\u00b2 + 0\u00d72\u00b9 + 0\u00d72\u2070\n          = 128 + 8 + 4\n          = 140\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 <code>10001100\u2082<\/code> \u8868\u793a\u4e8c\u8fdb\u5236\u7684 <code>10001100<\/code>\uff0c\u5b83\u7684\u5341\u8fdb\u5236\u503c\u662f <code>140<\/code>\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u56de\u5230 31 \u9898\u7684\u6d6e\u70b9\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C640 0000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u8f6c\u6210\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C6400000H\n= 1100 0110 0100 0000 0000 0000 0000 0000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u62c6\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 | 10001100 | 10000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d S = 1\n\u9636\u7801\u5b57\u6bb5 E = 10001100\u2082\n\u5c3e\u6570\u5b57\u6bb5 F = 10000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b26\u53f7\u4f4d <code>S = 1<\/code>\uff0c\u8bf4\u660e\u8fd9\u4e2a\u6570\u662f\u8d1f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u5b57\u6bb5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10001100\u2082 = 140\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u7684\u9636\u7801\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\u771f\u5b9e\u9636\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 140 - 127 = 13\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5173\u952e\u662f\u5c3e\u6570\u90e8\u5206\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u89c4\u683c\u5316\u6570\u7684\u5c3e\u6570\u4e0d\u662f\u76f4\u63a5\u5199\u6210 <code>0.100000...<\/code>\uff0c\u800c\u662f\u9ed8\u8ba4\u524d\u9762\u9690\u85cf\u4e86\u4e00\u4e2a <code>1<\/code>\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5c3e\u6570\u5b57\u6bb5\u53ea\u4fdd\u5b58\u5c0f\u6570\u70b9\u540e\u9762\u7684\u90e8\u5206\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u4e2d\u7684\u5c3e\u6570\u5b57\u6bb5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5c0f\u6570\u70b9\u540e\u9762\u662f .10000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u89c4\u683c\u5316\u6570\u524d\u9762\u9ed8\u8ba4\u9690\u85cf\u4e00\u4e2a <code>1<\/code>\uff0c\u6240\u4ee5\u771f\u6b63\u53c2\u4e0e\u8ba1\u7b97\u7684\u6709\u6548\u5c3e\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.10000000000000000000000\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u540e\u9762\u7684 0 \u53ef\u4ee5\u7701\u7565\uff0c\u6240\u4ee5\u5199\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.1\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5c31\u662f\u6211\u4e4b\u524d\u5199\u7684\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6709\u6548\u5c3e\u6570 = 1.1\u2082\n<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u770b <code>1.1\u2082 = 1.5<\/code> \u662f\u600e\u4e48\u6765\u7684\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8c\u8fdb\u5236\u5c0f\u6570\u7684\u4f4d\u6743\u548c\u5341\u8fdb\u5236\u7c7b\u4f3c\uff0c\u53ea\u4e0d\u8fc7\u5e95\u6570\u662f 2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u4e8e\u4e8c\u8fdb\u5236\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.1\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c0f\u6570\u70b9\u5de6\u8fb9\u7684 <code>1<\/code> \u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u00d7 2\u2070 = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c0f\u6570\u70b9\u53f3\u8fb9\u7b2c\u4e00\u4f4d\u7684 <code>1<\/code> \u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u00d7 2\u207b\u00b9 = 1\/2 = 0.5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.1\u2082 = 1\u00d72\u2070 + 1\u00d72\u207b\u00b9\n     = 1 + 0.5\n     = 1.5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.01\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\u5b83\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1\u00d72\u2070 + 0\u00d72\u207b\u00b9 + 1\u00d72\u207b\u00b2\n= 1 + 0 + 0.25\n= 1.25\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u90a3\u4e48\u5b83\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1\u00d72\u2070 + 1\u00d72\u207b\u00b9 + 0\u00d72\u207b\u00b2 + 1\u00d72\u207b\u00b3\n= 1 + 0.5 + 0 + 0.125\n= 1.625\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e8c\u8fdb\u5236\u5c0f\u6570\u70b9\u53f3\u8fb9\u7b2c\u4e00\u4f4d\u662f <code>2\u207b\u00b9<\/code>\uff0c\u7b2c\u4e8c\u4f4d\u662f <code>2\u207b\u00b2<\/code>\uff0c\u7b2c\u4e09\u4f4d\u662f <code>2\u207b\u00b3<\/code>\uff0c\u4ee5\u6b64\u7c7b\u63a8\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u628a 31 \u9898\u5b8c\u6574\u8fde\u8d77\u6765\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C6400000H\n= 1 | 10001100 | 10000000000000000000000\n\n\u7b26\u53f7\u4f4d S = 1\uff0c\u6240\u4ee5\u662f\u8d1f\u6570\n\n\u9636\u7801\u5b57\u6bb5 E = 10001100\u2082 = 140\n\u771f\u5b9e\u9636\u7801 e = 140 - 127 = 13\n\n\u5c3e\u6570\u5b57\u6bb5 F = 100000...\n\u89c4\u683c\u5316\u6570\u9690\u85cf\u6700\u9ad8\u4f4d 1\n\u6240\u4ee5\u6709\u6548\u5c3e\u6570 = 1.100000...\u2082 = 1.1\u2082 = 1.5\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u8fd9\u4e2a\u6d6e\u70b9\u6570\u8868\u793a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-1.5 \u00d7 2\u00b9\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-1.5 \u00d7 8192 = -12288\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8fc7\u672c\u9898\u9009\u9879\u5199\u7684\u662f\u79d1\u5b66\u8ba1\u6570\u5f62\u5f0f\uff0c\u6240\u4ee5\u7b54\u6848\u4fdd\u7559\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-1.5 \u00d7 2\u00b9\u00b3\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u7c7b IEEE 754 \u5355\u7cbe\u5ea6\u9898\u53ef\u4ee5\u56fa\u5b9a\u8bb0\u6210\u4e00\u53e5\u8bdd\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u89c4\u683c\u5316\u6d6e\u70b9\u6570 = (-1)^\u7b26\u53f7\u4f4d \u00d7 1.\u5c3e\u6570\u5b57\u6bb5 \u00d7 2^(\u9636\u7801\u5b57\u6bb5\u503c - 127)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5176\u4e2d <code>1.\u5c3e\u6570\u5b57\u6bb5<\/code> \u91cc\u7684\u8fd9\u4e2a <code>1<\/code> \u662f\u9690\u85cf\u4f4d\uff0c\u4e0d\u51fa\u73b0\u5728\u673a\u5668\u6570\u91cc\uff0c\u4f46\u8ba1\u7b97\u65f6\u5fc5\u987b\u8865\u56de\u6765\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">32 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>f1 = CC90 0000H\nf2 = B0C0 0000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5b83\u4eec\u90fd\u662f IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u770b\u7b26\u53f7\u4f4d\u3002<strong><em>\u5341\u516d\u8fdb\u5236\u6700\u9ad8\u4f4d\u5982\u679c\u5728 <code>8<\/code> \u5230 <code>F<\/code> \u4e4b\u95f4\uff0c\u6700\u9ad8\u4e8c\u8fdb\u5236\u4f4d\u5c31\u662f 1\uff0c\u8bf4\u660e\u662f\u8d1f\u6570\u3002<\/em><\/strong><\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>CC90 0000H\uff1a\u6700\u9ad8\u5341\u516d\u8fdb\u5236\u4f4d C\uff0c\u7b26\u53f7\u4f4d\u4e3a 1\uff0c\u8d1f\u6570\nB0C0 0000H\uff1a\u6700\u9ad8\u5341\u516d\u8fdb\u5236\u4f4d B\uff0c\u7b26\u53f7\u4f4d\u4e3a 1\uff0c\u8d1f\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 x \u548c y \u7b26\u53f7\u76f8\u540c\uff0c\u90fd\u662f\u8d1f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u518d\u6bd4\u8f83\u5927\u5c0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>CC90 0000H<\/code> \u62c6\u51fa\u6765\u5927\u81f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d = 1\n\u9636\u7801 = 153\n\u771f\u5b9e\u9636\u7801 = 153 - 127 = 26\n\u5c3e\u6570 = 1.125\n\nx = -1.125 \u00d7 2\u00b2\u2076\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>B0C0 0000H<\/code> \u62c6\u51fa\u6765\u5927\u81f4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d = 1\n\u9636\u7801 = 97\n\u771f\u5b9e\u9636\u7801 = 97 - 127 = -30\n\u5c3e\u6570 = 1.5\n\ny = -1.5 \u00d7 2\u207b\u00b3\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e00\u4e2a\u662f\u5f88\u5927\u7684\u8d1f\u6570\uff0c\u4e00\u4e2a\u662f\u975e\u5e38\u63a5\u8fd1 0 \u7684\u8d1f\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = -1.125 \u00d7 2\u00b2\u2076\ny = -1.5 \u00d7 2\u207b\u00b3\u2070\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x &lt; y\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5e76\u4e14\u4e8c\u8005\u7b26\u53f7\u76f8\u540c\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 32 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u9677\u9631\u662f\uff1a\u4e0d\u80fd\u53ea\u770b\u9636\u7801\u5927\u5c31\u8bf4\u6570\u503c\u5927\u3002\u56e0\u4e3a\u5b83\u4eec\u90fd\u662f\u8d1f\u6570\uff0c\u7edd\u5bf9\u503c\u8d8a\u5927\uff0c\u5b9e\u9645\u503c\u8d8a\u5c0f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">33 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u8003\u6d6e\u70b9\u6570\u52a0\u51cf\u8fd0\u7b97\u8fc7\u7a0b\u4e2d\u7684\u6ea2\u51fa\u5224\u65ad\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56db\u4e2a\u8bf4\u6cd5\u5206\u522b\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>I. \u5bf9\u9636\u64cd\u4f5c\u4e0d\u4f1a\u5f15\u8d77\u9636\u7801\u4e0a\u6ea2\u6216\u4e0b\u6ea2\n\nII. \u53f3\u89c4\u548c\u5c3e\u6570\u820d\u5165\u90fd\u53ef\u80fd\u5f15\u8d77\u9636\u7801\u4e0a\u6ea2\n\nIII. \u5de6\u89c4\u65f6\u53ef\u80fd\u5f15\u8d77\u9636\u7801\u4e0b\u6ea2\n\nIV. \u5c3e\u6570\u6ea2\u51fa\u65f6\u7ed3\u679c\u4e0d\u4e00\u5b9a\u6ea2\u51fa\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9010\u4e2a\u5224\u65ad\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">I \u6b63\u786e<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u6d6e\u70b9\u6570\u52a0\u51cf\u524d\u8981\u5bf9\u9636\uff0c\u4e00\u822c\u662f\u201c\u5c0f\u9636\u5411\u5927\u9636\u770b\u9f50\u201d\uff0c\u4e5f\u5c31\u662f\u628a\u9636\u7801\u5c0f\u7684\u6570\u7684\u5c3e\u6570\u53f3\u79fb\uff0c\u4f7f\u5b83\u7684\u9636\u7801\u53d8\u6210\u8f83\u5927\u7684\u90a3\u4e2a\u9636\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.001 \u00d7 2\u2075\n0.101 \u00d7 2\u00b2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u9636\u65f6\uff0c\u628a\u7b2c\u4e8c\u4e2a\u6570\u6539\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.000101 \u00d7 2\u2075\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e2a\u8fc7\u7a0b\u53ea\u662f\u8ba9\u5c0f\u9636\u6570\u7684\u9636\u7801\u53d8\u6210\u5df2\u6709\u7684\u8f83\u5927\u9636\u7801\uff0c\u4e0d\u4f1a\u4ea7\u751f\u65b0\u7684\u8d85\u8fc7\u8303\u56f4\u7684\u9636\u7801\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5bf9\u9636\u672c\u8eab\u4e0d\u4f1a\u5f15\u8d77\u9636\u7801\u4e0a\u6ea2\u6216\u4e0b\u6ea2\u3002\u5b83\u53ef\u80fd\u9020\u6210\u5c3e\u6570\u4f4e\u4f4d\u4e22\u5931\uff0c\u4e5f\u5c31\u662f\u201c\u5927\u6570\u5403\u5c0f\u6570\u201d\uff0c\u4f46\u8fd9\u4e0d\u662f\u9636\u7801\u6ea2\u51fa\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I \u6b63\u786e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">II \u6b63\u786e<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u53f3\u89c4\u901a\u5e38\u53d1\u751f\u5728\u5c3e\u6570\u76f8\u52a0\u540e\u4ea7\u751f\u8fdb\u4f4d\u7684\u65f6\u5019\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.101 + 1.011 = 11.000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u679c\u4e0d\u662f\u89c4\u683c\u5316\u5f62\u5f0f\uff0c\u9700\u8981\u53f3\u79fb\u4e00\u4f4d\uff0c\u9636\u7801\u52a0 1\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>11.000 \u00d7 2\u1d49\n= 1.1000 \u00d7 2\u1d49\u207a\u00b9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u539f\u6765\u7684\u9636\u7801\u5df2\u7ecf\u5f88\u5927\uff0c\u518d\u52a0 1 \u5c31\u53ef\u80fd\u9636\u7801\u4e0a\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u820d\u5165\u4e5f\u53ef\u80fd\u5bfc\u81f4\u5c3e\u6570\u8fdb\u4f4d\u3002\u4f8b\u5982\u820d\u5165\u540e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.111...111  \u820d\u5165\u540e\u53d8\u6210 10.000...000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u65f6\u4e5f\u9700\u8981\u53f3\u89c4\uff0c\u9636\u7801\u52a0 1\uff0c\u4e5f\u53ef\u80fd\u5bfc\u81f4\u9636\u7801\u4e0a\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 II \u6b63\u786e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">III \u6b63\u786e<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5de6\u89c4\u901a\u5e38\u53d1\u751f\u5728\u4e24\u4e2a\u63a5\u8fd1\u7684\u6570\u76f8\u51cf\u540e\uff0c\u524d\u5bfc\u6709\u6548\u4f4d\u53d8\u6210 0\uff0c\u9700\u8981\u5c3e\u6570\u5de6\u79fb\u3001\u9636\u7801\u51cf\u5c0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0001 \u00d7 2\u207b\u00b9\u00b2\u2076 - 1.0000 \u00d7 2\u207b\u00b9\u00b2\u2076\n= 0.0001 \u00d7 2\u207b\u00b9\u00b2\u2076\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e3a\u4e86\u89c4\u683c\u5316\uff0c\u9700\u8981\u5de6\u79fb\u5c3e\u6570\uff0c\u540c\u65f6\u9636\u7801\u4e0d\u65ad\u51cf\u5c0f\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5982\u679c\u9636\u7801\u5df2\u7ecf\u63a5\u8fd1\u6700\u5c0f\u503c\uff0c\u518d\u7ee7\u7eed\u51cf\u5c0f\uff0c\u5c31\u53ef\u80fd\u4e0b\u6ea2\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 III \u6b63\u786e\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">IV \u6b63\u786e<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u6ea2\u51fa\u4e0d\u4ee3\u8868\u6700\u7ec8\u6d6e\u70b9\u6570\u4e00\u5b9a\u6ea2\u51fa\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u76f8\u52a0\u540e\u5982\u679c\u53d8\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10.xxxx\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u53f3\u89c4\u6210\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0xxxx \u00d7 2\u1d49\u207a\u00b9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ea\u8981\u9636\u7801\u52a0 1 \u540e\u4ecd\u7136\u5728\u53ef\u8868\u793a\u8303\u56f4\u5185\uff0c\u6700\u7ec8\u7ed3\u679c\u5c31\u4e0d\u6ea2\u51fa\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 IV \u6b63\u786e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56db\u4e2a\u8bf4\u6cd5\u90fd\u6b63\u786e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 33 \u9898\u9009 D\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u8981\u8bb0\u4f4f\u4e00\u53e5\u8bdd\uff1a\u5c3e\u6570\u6ea2\u51fa\u4e0d\u7b49\u4e8e\u6d6e\u70b9\u6570\u6ea2\u51fa\uff1b\u771f\u6b63\u51b3\u5b9a\u7ed3\u679c\u662f\u5426\u6ea2\u51fa\u7684\u662f\u89c4\u683c\u5316\u3001\u820d\u5165\u4e4b\u540e\u7684\u9636\u7801\u662f\u5426\u8d8a\u754c\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">34 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u6761\u4ef6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5b57\u957f 32 \u4f4d\n\u6309\u5b57\u8282\u7f16\u5740\n\u5c0f\u7aef\u65b9\u5f0f\ndouble \u578b\u53d8\u91cf\u673a\u5668\u6570\u4e3a 1122 3344 5566 7788H\n\u4ece\u5730\u5740 0000 8040H \u5f00\u59cb\u8fde\u7eed\u5b58\u653e\n\u95ee\u5730\u5740 0000 8046H \u4e2d\u5b58\u653e\u4ec0\u4e48\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c0f\u7aef\u65b9\u5f0f\u7684\u6838\u5fc3\u89c4\u5219\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4f4e\u6709\u6548\u5b57\u8282\u653e\u4f4e\u5730\u5740\uff0c\u9ad8\u6709\u6548\u5b57\u8282\u653e\u9ad8\u5730\u5740\u3002\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u673a\u5668\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1122 3344 5566 7788H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4ece\u9ad8\u5230\u4f4e\u7684\u5b57\u8282\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>11 22 33 44 55 66 77 88\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f\u5c0f\u7aef\u5b58\u50a8\u65f6\u8981\u53cd\u8fc7\u6765\u653e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740 0000 8040H\uff1a88H\n\u5730\u5740 0000 8041H\uff1a77H\n\u5730\u5740 0000 8042H\uff1a66H\n\u5730\u5740 0000 8043H\uff1a55H\n\u5730\u5740 0000 8044H\uff1a44H\n\u5730\u5740 0000 8045H\uff1a33H\n\u5730\u5740 0000 8046H\uff1a22H\n\u5730\u5740 0000 8047H\uff1a11H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5730\u5740 <code>0000 8046H<\/code> \u4e2d\u5b58\u653e\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>22H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 34 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u4e0d\u8981\u88ab\u201c\u5b57\u957f 32 \u4f4d\u201d\u5e72\u6270\u3002\u9898\u76ee\u95ee\u7684\u662f\u6309\u5b57\u8282\u7f16\u5740\u4e0b\u67d0\u4e2a\u5b57\u8282\u5730\u5740\u4e2d\u7684\u5185\u5bb9\uff0c\u5173\u952e\u770b\u5c0f\u7aef\u5b57\u8282\u5e8f\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">34\u9898\u91cc\u9762\u4e0d\u9009d\u9009a\u7684\u4e3b\u8981\u539f\u56e0\u662f\u56e0\u4e3a\u4e00\u4e2a\u5b57\u8282\u76f8\u5f53\u4e8e\u6709\u4e24\u4e2a\u5b57\uff0c\u5bf9\u5427\uff1f\u6211\u4eec\u8ba1\u7b97\u673a\u91cc\u9762\u4e2d\u50a8\u5b58\u5355\u5143\u6bcf\u589e\u4e00\u4f4d\u7b49\u4e8e\u4e00\u4e2a\u5b57\u8282\u5bf9\u5427\uff1f<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u5173\u952e\u539f\u56e0\u5c31\u662f\uff1a\u9898\u76ee\u8bf4\u201c\u6309\u5b57\u8282\u7f16\u5740\u201d\uff0c\u6240\u4ee5\u5730\u5740\u6bcf\u589e\u52a0 1\uff0c\u79fb\u52a8\u7684\u662f <strong>1 \u4e2a\u5b57\u8282\uff088 bit\uff09<\/strong>\uff0c\u4e0d\u662f\u79fb\u52a8 1 \u4e2a\u5b57\uff0c\u4e5f\u4e0d\u662f\u79fb\u52a8 1 \u4e2a\u5341\u516d\u8fdb\u5236\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u8fd9\u91cc\u6709\u4e00\u4e2a\u8bf4\u6cd5\u9700\u8981\u7ea0\u6b63\u4e00\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u4e0d\u662f\u201c\u4e00\u4e2a\u5b57\u8282\u76f8\u5f53\u4e8e\u6709\u4e24\u4e2a\u5b57\u201d\n\u800c\u662f\u201c\u4e00\u4e2a\u5b57\u8282\u76f8\u5f53\u4e8e\u4e24\u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\u201d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bd4\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>22H = 0010 0010\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc <code>22H<\/code> \u662f\u4e24\u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\uff0c\u6bcf\u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\u5bf9\u5e94 4 bit\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d = 8 bit = 1 \u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5e94\u8be5\u8fd9\u6837\u7406\u89e3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d = 4 bit\n2 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d = 8 bit = 1 Byte\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\u201c\u5b57\u201d\u8fd9\u4e2a\u6982\u5ff5\u548c\u673a\u5668\u5b57\u957f\u6709\u5173\u3002\u9898\u76ee\u8bf4\u8fd9\u53f0\u673a\u5668\u5b57\u957f\u662f 32 \u4f4d\uff0c\u90a3\u4e48\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u5b57 = 32 bit = 4 \u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5728\u8fd9\u9898\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u5b57\u8282 = 8 bit = 2 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\n1 \u5b57 = 32 bit = 4 \u5b57\u8282 = 8 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0d\u8981\u628a\u201c\u4e24\u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\u201d\u548c\u201c\u4e24\u4e2a\u5b57\u201d\u6df7\u5728\u4e00\u8d77\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">34 \u9898\u7ed9\u7684\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>double \u578b\u53d8\u91cf\u7684\u673a\u5668\u6570\u4e3a\uff1a1122 3344 5566 7788H\n\u4ece\u5730\u5740 0000 8040H \u5f00\u59cb\u8fde\u7eed\u5b58\u653e\n\u6309\u5b57\u8282\u7f16\u5740\uff0c\u5c0f\u7aef\u65b9\u5f0f\n\u95ee\u5730\u5740 0000 8046H \u4e2d\u5b58\u653e\u7684\u5185\u5bb9\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\"><code>1122 3344 5566 7788H<\/code> \u8fd9\u4e2a 64 \u4f4d\u6570\u636e\uff0c\u6309\u5b57\u8282\u62c6\u5f00\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>11H 22H 33H 44H 55H 66H 77H 88H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6bcf\u4e00\u4e2a <code>xxH<\/code> \u6b63\u597d\u662f 1 \u4e2a\u5b57\u8282\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7531\u4e8e\u662f\u5c0f\u7aef\u65b9\u5f0f\uff0c\u4f4e\u6709\u6548\u5b57\u8282\u653e\u4f4e\u5730\u5740\u3002\u8fd9\u4e2a\u6570\u7684\u4f4e\u6709\u6548\u5b57\u8282\u662f\u6700\u53f3\u8fb9\u7684 <code>88H<\/code>\uff0c\u9ad8\u6709\u6548\u5b57\u8282\u662f\u6700\u5de6\u8fb9\u7684 <code>11H<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5185\u5b58\u4e2d\u4ece\u4f4e\u5730\u5740\u5230\u9ad8\u5730\u5740\u4f9d\u6b21\u653e\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740 0000 8040H\uff1a88H\n\u5730\u5740 0000 8041H\uff1a77H\n\u5730\u5740 0000 8042H\uff1a66H\n\u5730\u5740 0000 8043H\uff1a55H\n\u5730\u5740 0000 8044H\uff1a44H\n\u5730\u5740 0000 8045H\uff1a33H\n\u5730\u5740 0000 8046H\uff1a22H\n\u5730\u5740 0000 8047H\uff1a11H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u5730\u5740 <code>0000 8046H<\/code> \u4e2d\u7684\u5185\u5bb9\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>22H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u9009 A\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u4e0d\u9009 D \u7684\u539f\u56e0\u4e0d\u662f\u56e0\u4e3a double \u88ab\u5206\u6210\u4e24\u4e2a 32 \u4f4d\u5b57\u6765\u5b58\uff0c\u800c\u662f\u56e0\u4e3a\u9898\u76ee\u95ee\u7684\u662f\u201c\u67d0\u4e2a\u5b57\u8282\u5730\u5740\u91cc\u7684\u5185\u5bb9\u201d\u3002\u5728\u6309\u5b57\u8282\u7f16\u5740\u7684\u673a\u5668\u4e2d\uff0c\u6bcf\u4e2a\u5730\u5740\u5bf9\u5e94 1 \u5b57\u8282\uff0c\u6240\u4ee5\u5fc5\u987b\u4e00\u4e2a\u5b57\u8282\u4e00\u4e2a\u5b57\u8282\u5730\u6392\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u89e3\u8fd9\u79cd\u9898\u65f6\u8981\u6293\u4f4f\u4e09\u53e5\u8bdd\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6309\u5b57\u8282\u7f16\u5740\uff1a\u5730\u5740 +1 \u8868\u793a\u79fb\u52a8 1 \u5b57\u8282\n\n\u4e00\u4e2a\u5b57\u8282\uff1a8 bit = 2 \u4e2a\u5341\u516d\u8fdb\u5236\u4f4d\n\n\u5c0f\u7aef\u65b9\u5f0f\uff1a\u4f4e\u6709\u6548\u5b57\u8282\u653e\u4f4e\u5730\u5740\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">34 \u9898\u4e2d <code>0000 8046H<\/code> \u6bd4\u8d77\u8d77\u59cb\u5730\u5740 <code>0000 8040H<\/code> \u504f\u79fb\u4e86\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8046H - 8040H = 6\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u7b2c 7 \u4e2a\u5b57\u8282\u3002\u5c0f\u7aef\u5b58\u653e\u987a\u5e8f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>88 77 66 55 44 33 22 11\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 7 \u4e2a\u5b57\u8282\u6b63\u597d\u662f <code>22H<\/code>\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">35 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u95ee IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u683c\u5f0f\u4e2d\uff0c\u6700\u5c0f\u7684\u89c4\u683c\u5316\u6b63\u6570\u662f\u591a\u5c11\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5355\u7cbe\u5ea6\u683c\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d\uff1a1 \u4f4d\n\u9636\u7801\uff1a8 \u4f4d\n\u5c3e\u6570\uff1a23 \u4f4d\n\u9636\u7801\u504f\u7f6e\u503c\uff1a127\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\u6570\u8981\u6c42\u9636\u7801\u5b57\u6bb5\u4e0d\u80fd\u5168 0\uff0c\u4e5f\u4e0d\u80fd\u5168 1\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u89c4\u683c\u5316\u6b63\u6570\u4e2d\uff0c\u6700\u5c0f\u9636\u7801\u5b57\u6bb5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = 00000001\u2082 = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u771f\u5b9e\u9636\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>e = 1 - 127 = -126\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u8981\u6700\u5c0f\uff0c\u5c3e\u6570\u5b57\u6bb5\u5168 0\u3002\u89c4\u683c\u5316\u6570\u6709\u9690\u85cf\u7684\u6700\u9ad8\u4f4d 1\uff0c\u6240\u4ee5\u6709\u6548\u5c3e\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u6700\u5c0f\u89c4\u683c\u5316\u6b63\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.0 \u00d7 2\u207b\u00b9\u00b2\u2076\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 35 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6ce8\u610f\u533a\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6700\u5c0f\u89c4\u683c\u5316\u6b63\u6570\uff1a1.0 \u00d7 2\u207b\u00b9\u00b2\u2076\n\u6700\u5c0f\u975e\u89c4\u683c\u5316\u6b63\u6570\uff1a1.0 \u00d7 2\u207b\u00b9\u2074\u2079\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u672c\u9898\u95ee\u7684\u662f\u201c\u89c4\u683c\u5316\u6b63\u6570\u201d\uff0c\u4e0d\u662f\u201c\u6700\u5c0f\u6b63\u6570\u201d\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">36 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u7ed9\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int i = 0;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u6307\u4ee4\u673a\u5668\u4ee3\u7801\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C7 45 FC 00 00 00 00\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u95ee\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int i = -64;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5bf9\u5e94\u6307\u4ee4\u673a\u5668\u4ee3\u7801\u662f\u4ec0\u4e48\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u5176\u5b9e\u662f\u4e00\u4e2a\u5c0f\u7aef\u7acb\u5373\u6570\u5b58\u50a8\u95ee\u9898\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u524d\u9762\u7684\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C7 45 FC\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u53ef\u4ee5\u7406\u89e3\u4e3a\u6307\u4ee4\u64cd\u4f5c\u7801\u548c\u5bfb\u5740\u76f8\u5173\u5185\u5bb9\uff0c\u5b83\u4eec\u4e0d\u53d8\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u540e\u9762\u7684\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>00 00 00 00\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u662f\u7acb\u5373\u6570 0 \u7684 32 \u4f4d\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u5728\u8981\u628a\u7acb\u5373\u6570\u6362\u6210 <code>-64<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">32 \u4f4d\u8865\u7801\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>64 = 0000 0040H\n-64 = FFFF FFC0H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u662f\u5c0f\u7aef\u65b9\u5f0f\uff0c<code>FFFF FFC0H<\/code> \u5728\u673a\u5668\u4ee3\u7801\u4e2d\u6309\u5b57\u8282\u5b58\u653e\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C0 FF FF FF\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5b8c\u6574\u6307\u4ee4\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C7 45 FC C0 FF FF FF\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 36 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u6613\u9519\u70b9\u662f\u628a\u6574\u4e2a\u6307\u4ee4\u5168\u90e8\u5012\u8fc7\u6765\u3002\u5c0f\u7aef\u5f71\u54cd\u7684\u662f\u591a\u5b57\u8282\u6570\u636e\u7684\u7f16\u7801\u987a\u5e8f\uff0c\u4e0d\u662f\u628a\u6574\u6761\u6307\u4ee4\u4ece\u5934\u5230\u5c3e\u53cd\u8f6c\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">37 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u6784\u4f53\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct record{\n    short x1;\n    int   x2;\n} a;\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6761\u4ef6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>32 \u4f4d\u8ba1\u7b97\u673a\n\u6309\u5b57\u8282\u7f16\u5740\n\u5c0f\u7aef\u65b9\u5f0f\n\u6309\u8fb9\u754c\u5bf9\u9f50\na \u7684\u9996\u5730\u5740\u4e3a 2020 FE00H\nx2 \u7684\u673a\u5668\u6570\u4e3a 1234 0000H\n\u95ee\u5176\u4e2d 34H \u6240\u5728\u5b58\u50a8\u5355\u5143\u5730\u5740\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u5206\u6790\u7ed3\u6784\u4f53\u5e03\u5c40\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>short<\/code> \u5360 2 \u5b57\u8282\uff0c\u901a\u5e38\u6309 2 \u5b57\u8282\u8fb9\u754c\u5bf9\u9f50\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><code>int<\/code> \u5360 4 \u5b57\u8282\uff0c\u901a\u5e38\u6309 4 \u5b57\u8282\u8fb9\u754c\u5bf9\u9f50\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u6784\u4f53\u9996\u5730\u5740\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE00H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6210\u5458 <code>x1<\/code> \u662f short\uff0c\u5360 2 \u5b57\u8282\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE00H\uff1ax1 \u7684\u7b2c 1 \u5b57\u8282\n2020 FE01H\uff1ax1 \u7684\u7b2c 2 \u5b57\u8282\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u63a5\u4e0b\u6765\u5982\u679c\u76f4\u63a5\u653e <code>x2<\/code>\uff0c\u5730\u5740\u4f1a\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE02H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4f46\u662f <code>int x2<\/code> \u8981\u6309 4 \u5b57\u8282\u8fb9\u754c\u5bf9\u9f50\uff0c\u5730\u5740\u5fc5\u987b\u662f 4 \u7684\u500d\u6570\u3002<code>FE02H<\/code> \u4e0d\u662f 4 \u5b57\u8282\u8fb9\u754c\uff0c\u6240\u4ee5\u8981\u586b\u5145 2 \u4e2a\u7a7a\u5b57\u8282\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE02H\uff1a\u586b\u5145\n2020 FE03H\uff1a\u586b\u5145\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e8e\u662f <code>x2<\/code> \u4ece\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE04H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5f00\u59cb\u5b58\u653e\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u73b0\u5728 <code>x2<\/code> \u7684\u673a\u5668\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1234 0000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c0f\u7aef\u65b9\u5f0f\u5b58\u50a8\uff0c\u4f4e\u6709\u6548\u5b57\u8282\u653e\u4f4e\u5730\u5740\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE04H\uff1a00H\n2020 FE05H\uff1a00H\n2020 FE06H\uff1a34H\n2020 FE07H\uff1a12H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 <code>34H<\/code> \u6240\u5728\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2020 FE06H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 37 \u9898\u9009 D\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u6838\u5fc3\u4e0d\u662f\u5355\u7eaf\u5c0f\u7aef\uff0c\u800c\u662f\u5148\u505a\u7ed3\u6784\u4f53\u8fb9\u754c\u5bf9\u9f50\uff0c\u518d\u505a\u5c0f\u7aef\u5b58\u50a8\u3002\u987a\u5e8f\u4e0d\u80fd\u53cd\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">38 \u9898<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u6761\u4ef6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u6709\u7b26\u53f7\u6574\u6570\u7528\u8865\u7801\u8868\u793a\nfloat \u7528 IEEE 754 \u6807\u51c6\u8868\u793a\n\u53d8\u91cf x \u7684\u7c7b\u578b\u53ea\u80fd\u662f int \u6216 float\nx \u7684\u673a\u5668\u6570\u4e3a C800 0000H\n\u95ee x \u7684\u503c\u53ef\u80fd\u662f\u4ec0\u4e48\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u540c\u4e00\u4e32\u4e8c\u8fdb\u5236\u4f4d\u53ef\u80fd\u6309 int \u89e3\u91ca\uff0c\u4e5f\u53ef\u80fd\u6309 float \u89e3\u91ca\uff0c\u9700\u8981\u5206\u522b\u770b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6309 int \u89e3\u91ca<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u673a\u5668\u6570\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C800 0000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6700\u9ad8\u4f4d\u4e3a 1\uff0c\u6240\u4ee5\u4f5c\u4e3a 32 \u4f4d\u8865\u7801\u6574\u6570\u65f6\u662f\u8d1f\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6c42\u771f\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>C800 0000H \u5bf9\u5e94\u7684\u65e0\u7b26\u53f7\u503c = C8000000H\n\n\u8d1f\u6570\u8865\u7801\u771f\u503c = C8000000H - 100000000H\n             = -38000000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>38000000H = 56 \u00d7 2\u00b2\u2074 = 7 \u00d7 2\u00b2\u2077\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6309 int \u89e3\u91ca\u65f6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = -7 \u00d7 2\u00b2\u2077\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u6b63\u597d\u5bf9\u5e94\u9009\u9879 A\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u6309 float \u89e3\u91ca<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\"><code>C8000000H<\/code> \u6309 IEEE 754 \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\u62c6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d = 1\uff0c\u8d1f\u6570\n\u9636\u7801\u5b57\u6bb5 = 10010000\u2082 = 144\n\u771f\u5b9e\u9636\u7801 = 144 - 127 = 17\n\u5c3e\u6570\u5b57\u6bb5\u5168 0\uff0c\u6240\u4ee5\u6709\u6548\u5c3e\u6570 = 1.0\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6309 float \u89e3\u91ca\u65f6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>x = -1.0 \u00d7 2\u00b9\u2077 = -2\u00b9\u2077\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9009\u9879\u91cc\u6ca1\u6709 <code>-2\u00b9\u2077<\/code>\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\u673a\u5668\u6570 <code>C8000000H<\/code> \u53ef\u80fd\u8868\u793a\u7684\u503c\u53ea\u80fd\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-7 \u00d7 2\u00b2\u2077\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5 38 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u9898\u7684\u9677\u9631\u662f\uff1a\u9898\u76ee\u8bf4 x \u7684\u7c7b\u578b\u53ef\u80fd\u662f int \u6216 float\uff0c\u6240\u4ee5\u4e0d\u80fd\u53ea\u6309\u4e00\u79cd\u7c7b\u578b\u89e3\u91ca\u3002\u8981\u5206\u522b\u6309\u8865\u7801\u6574\u6570\u548c IEEE 754 \u6d6e\u70b9\u6570\u90fd\u89e3\u91ca\u4e00\u904d\uff0c\u518d\u770b\u54ea\u4e2a\u9009\u9879\u5339\u914d\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/4045-1024x768.jpg'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" data-original=\"http:\/\/www.preluna.xyz\/wp-content\/uploads\/2026\/05\/4045-1024x768.jpg\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-2351\"  sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/div><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b54\u6848\u662f\uff1a<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">40\uff1aA<br>41\uff1aA<br>42\uff1aA<br>43\uff1aC<br>44\uff1aD<br>45\uff1aC<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e0b\u9762\u9010\u9898\u8bb2\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">40 \u9898\uff1a-0.4375 \u7684 IEEE 754 \u5355\u7cbe\u5ea6\u8868\u793a<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 \u4f4d\u7b26\u53f7\u4f4d + 8 \u4f4d\u9636\u7801 + 23 \u4f4d\u5c3e\u6570\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\u6570\u7684\u771f\u503c\u5f62\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^s \u00d7 1.M \u00d7 2^(E - 127)\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u628a 0.4375 \u8f6c\u6210\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.4375 = 7 \/ 16 = 0.0111\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u89c4\u683c\u5316\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.0111\u2082 = 1.11\u2082 \u00d7 2^-2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u4e3a\u662f\u8d1f\u6570\uff0c\u6240\u4ee5\u7b26\u53f7\u4f4d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>s = 1\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u771f\u503c\u662f -2\uff0c\u5355\u7cbe\u5ea6\u504f\u7f6e\u503c\u662f 127\uff0c\u6240\u4ee5\u9636\u7801\u5b57\u6bb5\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>E = -2 + 127 = 125 = 01111101\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u90e8\u5206\u53ea\u4fdd\u5b58\u9690\u85cf\u7684 1 \u540e\u9762\u7684\u90e8\u5206\uff0c\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.11\u2082 \u2192 \u5c3e\u6570\u5b57\u6bb5\u4e3a 11000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u6574\u4f53\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1 | 01111101 | 11000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5199\u6210 16 \u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1011 1110 1110 0000 0000 0000 0000 0000\n= BEE0 0000H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c 40 \u9898\u9009 A\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">41 \u9898\uff1ashort \u578b\u53d8\u91cf x = -8190 \u7684\u673a\u5668\u6570<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">short \u578b\u4e00\u822c\u6309 16 \u4f4d\u8865\u7801\u8868\u793a\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u6c42\u6b63\u6570 8190 \u7684 16 \u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8190 = 8192 - 2 = 2000H - 2 = 1FFEH\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>+8190 = 1FFEH\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8d1f\u6570\u8865\u7801\u53ef\u4ee5\u7528\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>2^16 - 8190\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u4e5f\u5c31\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10000H - 1FFEH = E002H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>-8190 \u7684 16 \u4f4d\u8865\u7801 = E002H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 41 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e00\u7c7b\u9898\u8981\u8bb0\u4f4f\uff1ashort \u662f 16 \u4f4d\u6709\u7b26\u53f7\u6574\u6570\uff0c\u8d1f\u6570\u673a\u5668\u6570\u9ed8\u8ba4\u8003\u8865\u7801\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">42 \u9898\uff1a\u673a\u5668\u6570 8020 0000H \u8868\u793a\u7684 float \u503c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u5199\u6210\u4e8c\u8fdb\u5236\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>8020 0000H\n= 1000 0000 0010 0000 0000 0000 0000 0000\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6309 IEEE 754 \u5355\u7cbe\u5ea6\u62c6\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d s = 1\n\u9636\u7801\u5b57\u6bb5 E = 00000000\n\u5c3e\u6570\u5b57\u6bb5 M = 01000000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u975e\u5e38\u5173\u952e\uff1a\u9636\u7801\u5b57\u6bb5\u5168 0\uff0c\u5c3e\u6570\u4e0d\u5168 0\uff0c\u6240\u4ee5\u5b83\u4e0d\u662f\u89c4\u683c\u5316\u6570\uff0c\u800c\u662f\u975e\u89c4\u683c\u5316\u6570\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u975e\u89c4\u683c\u5316\u6570\u6ca1\u6709\u9690\u85cf\u7684 1\uff0c\u5b83\u7684\u5f62\u5f0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>(-1)^s \u00d7 0.M \u00d7 2^-126\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u5b57\u6bb5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0.010000...\u2082 = 2^-2\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u771f\u503c\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>- 0.01\u2082 \u00d7 2^-126\n= -2^-2 \u00d7 2^-126\n= -2^-128\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u7b2c 42 \u9898\u9009 A\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u91cc\u5bb9\u6613\u9519\u5728\u628a\u5b83\u5f53\u6210\u89c4\u683c\u5316\u6570\u3002\u5982\u679c\u9636\u7801\u5168 0\uff0c\u4e00\u5b9a\u4e0d\u80fd\u518d\u9ed8\u8ba4\u524d\u9762\u9690\u85cf\u4e00\u4e2a 1\u3002\u53ea\u6709\u89c4\u683c\u5316\u6570\u624d\u6709\u9690\u85cf\u7684 1\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">44 \u9898\uff1a4730 0000H \u8868\u793a\u7684 float \u503c<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u673a\u5668\u6570\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>4730 0000H\n= 0100 0111 0011 0000 0000 0000 0000 0000\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u62c6\u6210 IEEE 754 \u5355\u7cbe\u5ea6\u683c\u5f0f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u7b26\u53f7\u4f4d s = 0\n\u9636\u7801\u5b57\u6bb5 E = 10001110\u2082\n\u5c3e\u6570\u5b57\u6bb5 M = 01100000000000000000000\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u5b57\u6bb5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>10001110\u2082 = 142\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9636\u7801\u771f\u503c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>142 - 127 = 15\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5c3e\u6570\u90e8\u5206\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.M = 1.011\u2082\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.011\u2082 = 1 + 0.25 + 0.125 = 1.375\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u8be5\u6d6e\u70b9\u6570\u7684\u503c\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1.375 \u00d7 2^15\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 44 \u9898\u9009 D\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">45 \u9898\uff1a\u7ed3\u6784\u4f53\u6570\u7ec4\u3001\u5c0f\u7aef\u65b9\u5f0f\u548c\u8fb9\u754c\u5bf9\u9f50<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u6784\u4f53\u4e3a\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>struct record {\n    int id;\n    char name&#91;10];\n    int salary;\n} employee&#91;200];\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5df2\u77e5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>employee \u9996\u5730\u5740 = 0000 A0B0H\nemployee&#91;1].id \u7684\u673a\u5668\u6570 = 1234 5678H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u5148\u770b\u7ed3\u6784\u4f53\u5185\u90e8\u5e03\u5c40\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u5728 32 \u4f4d\u673a\u5668\u4e2d\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>int  \u5360 4B\uff0c\u901a\u5e38\u6309 4 \u5b57\u8282\u8fb9\u754c\u5bf9\u9f50\nchar \u5360 1B\uff0c\u6309 1 \u5b57\u8282\u5bf9\u9f50\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7ed3\u6784\u4f53\u5e03\u5c40\u5982\u4e0b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>id       \u5360 4B\uff0c\u504f\u79fb 0 ~ 3\nname&#91;10] \u5360 10B\uff0c\u504f\u79fb 4 ~ 13\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6b64\u65f6\u4e0b\u4e00\u4e2a\u53ef\u7528\u504f\u79fb\u662f 14\u3002\u4f46 salary \u662f int\uff0c\u9700\u8981\u6309 4 \u5b57\u8282\u8fb9\u754c\u5bf9\u9f50\uff0c\u6240\u4ee5\u8981\u8865\u9f50\u5230\u504f\u79fb 16\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u504f\u79fb 14 ~ 15\uff1a\u586b\u5145\u5b57\u8282\nsalary\uff1a\u504f\u79fb 16 ~ 19\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u4e00\u4e2a struct record \u7684\u5927\u5c0f\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>20B = 14H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>employee&#91;0] \u9996\u5730\u5740 = 0000 A0B0H\nemployee&#91;1] \u9996\u5730\u5740 = 0000 A0B0H + 14H = 0000 A0C4H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u800c id \u662f\u7ed3\u6784\u4f53\u7b2c\u4e00\u4e2a\u6210\u5458\uff0c\u6240\u4ee5\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>employee&#91;1].id \u7684\u8d77\u59cb\u5730\u5740 = 0000 A0C4H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u9898\u76ee\u8bf4 employee[1].id \u7684\u673a\u5668\u6570\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>1234 5678H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u91c7\u7528\u5c0f\u7aef\u65b9\u5f0f\u5b58\u653e\u6570\u636e\uff0c\u5373\u4f4e\u4f4d\u5b57\u8282\u653e\u4f4e\u5730\u5740\uff0c\u9ad8\u4f4d\u5b57\u8282\u653e\u9ad8\u5730\u5740\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u6240\u4ee5\u5b58\u50a8\u60c5\u51b5\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\u5730\u5740          \u5185\u5bb9\n0000 A0C4H    78H\n0000 A0C5H    56H\n0000 A0C6H    34H\n0000 A0C7H    12H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u56e0\u6b64 56H \u6240\u5728\u5b58\u50a8\u5355\u5143\u5730\u5740\u662f\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>0000 A0C5H\n<\/code><\/pre>\n\n\n\n<p class=\"wp-block-paragraph\">\u7b2c 45 \u9898\u9009 C\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8fd9\u4e00\u9898\u7684\u5173\u952e\u987a\u5e8f\u662f\uff1a\u5148\u7b97\u7ed3\u6784\u4f53\u5927\u5c0f\uff0c\u518d\u7b97\u6570\u7ec4\u7b2c 2 \u4e2a\u5143\u7d20\u9996\u5730\u5740\uff0c\u6700\u540e\u6309\u5c0f\u7aef\u65b9\u5f0f\u627e\u5b57\u8282\u4f4d\u7f6e\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6d6e\u70b9\u6570\u7684\u57fa\u672c\u601d\u60f3 \u6d6e\u70b9\u6570\u4e0d\u662f\u76f4\u63a5\u628a\u6240\u6709\u4e8c\u8fdb\u5236\u4f4d\u90fd\u62ff\u6765\u8868\u793a\u4e00\u4e2a\u5b9a\u70b9\u5c0f\u6570\uff0c\u800c\u662f\u628a\u4e00\u4e2a\u6570\u62c6\u6210\uff1a \u66f4\u5e38\u89c1\u5730\u5199\u6210\uff1a \u5176\u4e2d [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[54],"tags":[],"class_list":["post-2342","post","type-post","status-publish","format-standard","hentry","category-text"],"_links":{"self":[{"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/posts\/2342","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/comments?post=2342"}],"version-history":[{"count":3,"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/posts\/2342\/revisions"}],"predecessor-version":[{"id":2354,"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/posts\/2342\/revisions\/2354"}],"wp:attachment":[{"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/media?parent=2342"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/categories?post=2342"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.preluna.xyz\/index.php\/wp-json\/wp\/v2\/tags?post=2342"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}