{"id":17133,"date":"2024-08-20T23:54:59","date_gmt":"2024-08-20T15:54:59","guid":{"rendered":"https:\/\/blog.iyatt.com\/?p=17133"},"modified":"2024-08-24T23:51:02","modified_gmt":"2024-08-24T15:51:02","slug":"ieee-754-%e6%b5%ae%e7%82%b9%e6%95%b0%e7%90%86%e8%a7%a3%ef%bc%88%e5%be%85%e5%86%99%ef%bc%89","status":"publish","type":"post","link":"https:\/\/blog.iyatt.com\/?p=17133","title":{"rendered":"IEEE-754 \u6d6e\u70b9\u6570\u7406\u89e3"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 ez-toc-wrap-center counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title ez-toc-toggle\" style=\"cursor:pointer\">\u76ee\u5f55<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-1'><a 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href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E5%8F%82%E8%80%83%E8%B5%84%E6%96%99\" >\u53c2\u8003\u8d44\u6599<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E4%BA%8C%E8%BF%9B%E5%88%B6%E7%90%86%E8%A7%A3%EF%BC%88%E5%9F%BA%E7%A1%80%EF%BC%89\" >\u4e8c\u8fdb\u5236\u7406\u89e3\uff08\u57fa\u7840\uff09<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E4%BA%8C%E8%BF%9B%E5%88%B6%E4%B8%8E%E5%8D%81%E8%BF%9B%E5%88%B6%E7%9A%84%E5%85%B3%E7%B3%BB\" >\u4e8c\u8fdb\u5236\u4e0e\u5341\u8fdb\u5236\u7684\u5173\u7cfb<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E5%8D%81%E8%BF%9B%E5%88%B6%E5%B0%8F%E6%95%B0%E8%BD%AC%E4%BA%8C%E8%BF%9B%E5%88%B6%E6%98%AF%E6%9C%89%E9%99%90%E4%BD%8D%E8%BF%98%E6%98%AF%E6%97%A0%E9%99%90%E4%BD%8D%E7%9A%84%E5%88%A4%E6%96%AD\" >\u5341\u8fdb\u5236\u5c0f\u6570\u8f6c\u4e8c\u8fdb\u5236\u662f\u6709\u9650\u4f4d\u8fd8\u662f\u65e0\u9650\u4f4d\u7684\u5224\u65ad<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#float_%E5%8D%95%E7%B2%BE%E5%BA%A6%E6%B5%AE%E7%82%B9%E6%95%B0%EF%BC%8832%E4%BD%8D%EF%BC%89\" >float \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0832\u4f4d\uff09<\/a><ul class='ez-toc-list-level-2' ><li class='ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84\" >\u6570\u636e\u7ed3\u6784<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E5%8D%81%E8%BF%9B%E5%88%B6%E7%A7%91%E5%AD%A6%E8%AE%A1%E6%95%B0%E6%B3%95%E8%A1%A8%E7%A4%BA\" >\u5341\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E4%BA%8C%E8%BF%9B%E5%88%B6%E7%A7%91%E5%AD%A6%E8%AE%A1%E6%95%B0%E6%B3%95%E8%A1%A8%E7%A4%BA\" >\u4e8c\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#float_%E5%82%A8%E5%AD%98%E7%BB%93%E6%9E%84\" >float \u50a8\u5b58\u7ed3\u6784<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E8%A7%84%E6%A0%BC%E5%8C%96%E7%9A%84%E5%80%BC\" >\u89c4\u683c\u5316\u7684\u503c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E9%9D%9E%E8%A7%84%E6%A0%BC%E5%8C%96%E7%9A%84%E5%80%BC\" >\u975e\u89c4\u683c\u5316\u7684\u503c<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#%E7%89%B9%E6%AE%8A%E5%80%BC\" >\u7279\u6b8a\u503c<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-1'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/blog.iyatt.com\/?p=17133\/#double_%E5%8F%8C%E7%B2%BE%E5%BA%A6%E6%B5%AE%E7%82%B9%E6%95%B0%EF%BC%8864%E4%BD%8D%EF%BC%89\" >double \u53cc\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0864\u4f4d\uff09<\/a><\/li><\/ul><\/nav><\/div>\n<h1><span class=\"ez-toc-section\" id=\"%E5%89%8D%E8%A8%80\"><\/span>\u524d\u8a00<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>\u4ece\u6211\u9ad8\u4e8c\u63a5\u89e6\u5230 C \u8bed\u8a00\uff0c\u518d\u5230\u5927\u5b66\u5f00\u59cb\u7528 C++\uff0c\u4e0d\u53ef\u907f\u514d\u7684\u90fd\u7528\u5230\u6d6e\u70b9\u6570\uff0c\u4f46\u662f\u5374\u4e00\u76f4\u6ca1\u53bb\u4e86\u89e3\u6216\u7406\u89e3 float \u548c double \u7684\u7ed3\u6784\u3002\u5728\u524d\u6bb5\u65f6\u95f4\u7684 AutoCAD \u6269\u5c55\u5f00\u53d1\u4e2d\uff0c\u5904\u7406 double \u6d6e\u70b9\u6570\u7684\u56db\u820d\u4e94\u5165\u65f6\uff0c\u5c1d\u8bd5\u4e86\u5404\u79cd\u65b9\u6848\u90fd\u6ca1\u5f97\u5230\u9884\u671f\u7684\u7ed3\u679c\u3002\u6bd4\u5982\u7ed8\u5236\u4e00\u6761 10.445 \u7684\u76f4\u7ebf\uff0c\u7136\u540e\u6807\u6ce8 2 \u4f4d\u7cbe\u5ea6\uff0c\u5728\u7a0b\u5e8f\u4e2d\u8bfb\u53d6\u76f4\u7ebf\u957f\u5ea6\uff0c\u56db\u820d\u4e94\u5165\u5230 2 \u4f4d\u5c0f\u6570\u5374\u5f97\u5230\u4e86 10.44 \u7684\u7ed3\u679c\uff0c\u800c\u4e0d\u662f 10.45\u3002\u7ecf\u8fc7\u591a\u756a\u6ce2\u6298\uff0c\u6700\u540e\u624d\u53d1\u73b0\u7ed8\u5236\u7684 10.445 \u7684\u76f4\u7ebf\u5728\u5185\u5b58\u4e2d\u7684\u6570\u636e\u662f\u4e2a\u8fd1\u4f3c\u503c 10.444999999999993\uff0c\u7b2c\u4e09\u4f4d\u5c0f\u6570\u662f 4\uff0c\u6240\u4ee5\u5b9e\u9645\u56db\u820d\u4e94\u5165\u5c31\u53d8\u6210\u4e86 10.44\u3002\u5f52\u6839\u5230\u5e95\u662f\u6d6e\u70b9\u6570\u5b58\u50a8\u7cbe\u5ea6\u635f\u5931\u7684\u95ee\u9898\uff0c\u5728\u7f51\u4e0a\u4e5f\u6ca1\u67e5\u5230\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u7684\u65b9\u6cd5\uff08\u4e0d\u80fd\u8003\u8651\u7528\u5b57\u7b26\u4e32\u8868\u793a\u6570\u5b57\u7684\u65b9\u5f0f\u4fdd\u8bc1\u7cbe\u5ea6\uff0cCAD \u5185\u90e8\u4f7f\u7528\u7684 double \u5b58\u50a8\uff0c\u89e3\u51b3\u95ee\u9898\u5df2\u7ecf\u9650\u5236\u4f7f\u7528 double \u7c7b\u578b\u7684\u524d\u63d0\u4e0b\uff09\uff0c\u81ea\u5df1\u4e5f\u6beb\u65e0\u601d\u8def\u3002\u53ea\u80fd\u4ece\u5934\u5b66\u4e60\u4e00\u4e0b\u6d6e\u70b9\u6570\u5b58\u50a8\u7684\u7ed3\u6784\uff0c\u518d\u601d\u7d22\u65b9\u6cd5\u89e3\u51b3\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E7%A0%94%E7%A9%B6%E5%B7%A5%E5%85%B7\"><\/span>\u7814\u7a76\u5de5\u5177<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"CC_%E7%BC%96%E8%AF%91%E5%99%A8\"><\/span>C\/C++ \u7f16\u8bd1\u5668<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>MSVC\uff08VS 2022\uff09<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84%E5%8F%AF%E8%A7%86%E5%8C%96%E5%B7%A5%E5%85%B7\"><\/span>\u6570\u636e\u7ed3\u6784\u53ef\u89c6\u5316\u5de5\u5177<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>IEEE-754 Floating Point Converter\uff08IEEE-754 \u6d6e\u70b9\u6570\u8f6c\u6362\u5668\uff09\u301032 \u4f4d\u6d6e\u70b9\u6570\u3011\uff1a<a href=\"https:\/\/www.h-schmidt.net\/FloatConverter\/IEEE754.html\">https:\/\/www.h-schmidt.net\/FloatConverter\/IEEE754.html<\/a><br \/>\n\u4e8c\u8fdb\u5236\u8f6c\u6362\u5de5\u5177\u301064\u4f4d\u6d6e\u70b9\u6570\u3011\uff1a<a href=\"https:\/\/www.binaryconvert.com\/result_double.html\">https:\/\/www.binaryconvert.com\/result_double.html<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"%E5%8F%82%E8%80%83%E8%B5%84%E6%96%99\"><\/span>\u53c2\u8003\u8d44\u6599<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u300a\u6df1\u5165\u7406\u89e3\u8ba1\u7b97\u673a\u7cfb\u7edf\u300b\u539f\u4e66\u7b2c\u4e09\u7248 \u4e0a\u518c\uff0c\u673a\u68b0\u5de5\u4e1a\u51fa\u7248\u793e\uff0c2016<\/p>\n<h1><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E8%BF%9B%E5%88%B6%E7%90%86%E8%A7%A3%EF%BC%88%E5%9F%BA%E7%A1%80%EF%BC%89\"><\/span>\u4e8c\u8fdb\u5236\u7406\u89e3\uff08\u57fa\u7840\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E8%BF%9B%E5%88%B6%E4%B8%8E%E5%8D%81%E8%BF%9B%E5%88%B6%E7%9A%84%E5%85%B3%E7%B3%BB\"><\/span>\u4e8c\u8fdb\u5236\u4e0e\u5341\u8fdb\u5236\u7684\u5173\u7cfb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u5341\u8fdb\u5236\u4e2d\uff0c\u6bcf\u4f4d\u6570\u7684\u8303\u56f4\u4e3a [0,9]<br \/>\n<code class=\"katex-inline\">(1234.6709)_{10}=(1\\times10^3+2\\times10^2+3\\times10^1+4\\times10^0+6\\times10^{-1}+7\\times10^{-2}+0\\times10^{-3}+9\\times10^{-4})_{10}<\/code><\/p>\n<p>\u5728\u4e8c\u8fdb\u5236\u4e2d\uff0c\u6bcf\u4f4d\u6570\u7684\u8303\u56f4\u4e3a[0,1]<br \/>\n\u4e8c\u8fdb\u5236\u8868\u6362\u7b97\u4e3a\u5341\u8fdb\u5236<br \/>\n<code class=\"katex-inline\">(101.11)_2=(1\\times2^2+0\\times2^1+1\\times2^0+1\\times2^{-1}+1\\times2^{-2})_{10}=(5.75)_{10}<\/code><\/p>\n<p>133.90625 \u8f6c\u4e8c\u8fdb\u5236\uff0c\u6574\u6570\u90e8\u5206\uff0c\u8fde\u9664 2 \u76f4\u5230\u5546\u4e3a 0\uff0c\u4f59\u6570\u5012\u53d6\u5c31\u662f\u5bf9\u5e94\u7684\u4e8c\u8fdb\u5236<br \/>\n133.90625 \u6574\u6570\u90e8\u5206\uff1a<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n133\\div2=66\\cdots\\cdots1 \\\\\n66\\div2=33\\cdots\\cdots0 \\\\\n33\\div2=16\\cdots\\cdots1 \\\\\n16\\div2=8\\cdots\\cdots0 \\\\\n8\\div2=4\\cdots\\cdots0 \\\\\n4\\div2=2\\cdots\\cdots0 \\\\\n2\\div2=1\\cdots0 \\\\\n1\\div2=0\\cdots\\cdots1\n\\end{array}<\/code><\/pre>\n<p>\u4f59\u6570\u5012\u6570\u4e3a 10000101\uff0c\u6574\u6570\u90e8\u5206\u8868\u793a\u4e3a\u4e8c\u8fdb\u5236\u5c31\u662f 10000101<\/p>\n<p>\u5c0f\u6570\u90e8\u5206\u8fde\u4e58 2 \u76f4\u5230\u5c0f\u6570\u4e3a 0\uff0c\u79ef\u7684\u6574\u6570\u90e8\u5206\u6b63\u5e8f\u5c31\u662f\u5c0f\u6570\u90e8\u5206\u3002\u5982\u679c\u5341\u8fdb\u5236\u5c0f\u6570\u8f6c\u4e8c\u8fdb\u5236\u5c0f\u6570\u4e3a\u65e0\u9650\u5c0f\u6570\uff0c\u5219\u6839\u636e\u7cbe\u5ea6\u8981\u6c42\u53d6\u524d\u9762\u7684\u6307\u5b9a\u4f4d\u6570\u3002<br \/>\n\u6839\u636e\u5341\u8fdb\u5236\u5c0f\u6570\u8f6c\u4e8c\u8fdb\u5236\u7684\u8ba1\u7b97\u89c4\u5219\uff0c\u53ef\u4ee5\u53d1\u73b0\u5224\u65ad\u7ed3\u679c\u6709\u9650\u8fd8\u662f\u65e0\u9650\u7684\u65b9\u6cd5\uff1a<br \/>\n133.90625 \u5c0f\u6570\u90e8\u5206\uff1a<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n0.90625\\times2=1+0.8125 \\\\\n0.8125\\times2=1+0.625 \\\\\n0.625\\times2=1+0.25 \\\\\n0.25\\times2=0+0.5 \\\\\n0.5\\times2=1+0\n\\end{array}<\/code><\/pre>\n<p>\u79ef\u7684\u6574\u6570\u90e8\u5206\u8fde\u8d77\u6765\u4e3a 11101\uff0c\u5373\u5c0f\u6570\u90e8\u5206\u4e3a 0.11101<\/p>\n<p>\u6240\u4ee5 133.90625 \u7684\u4e8c\u8fdb\u5236\u4e3a 10000101.11101<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E5%8D%81%E8%BF%9B%E5%88%B6%E5%B0%8F%E6%95%B0%E8%BD%AC%E4%BA%8C%E8%BF%9B%E5%88%B6%E6%98%AF%E6%9C%89%E9%99%90%E4%BD%8D%E8%BF%98%E6%98%AF%E6%97%A0%E9%99%90%E4%BD%8D%E7%9A%84%E5%88%A4%E6%96%AD\"><\/span>\u5341\u8fdb\u5236\u5c0f\u6570\u8f6c\u4e8c\u8fdb\u5236\u662f\u6709\u9650\u4f4d\u8fd8\u662f\u65e0\u9650\u4f4d\u7684\u5224\u65ad<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u6839\u636e\u5341\u8fdb\u5236\u5c0f\u6570\u8f6c\u4e8c\u8fdb\u5236\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u53ef\u4ee5\u5f97\u51fa\uff1a<br \/>\n\u5c06\u5341\u8fdb\u5236\u7684\u5c0f\u6570\u8868\u793a\u4e3a\u6700\u7b80\u5206\u6570\u5f62\u5f0f\uff0c\u5982\u679c\u5206\u6bcd\u662f2\u7684\u6307\u6570\u5e42\uff0c\u5219\u53ef\u4ee5\u8868\u793a\u4e3a\u4e8c\u8fdb\u5236\u6709\u9650\u4f4d\u5c0f\u6570\uff0c\u5426\u5219\u4e3a\u4e8c\u8fdb\u5236\u65e0\u9650\u5c0f\u6570\u3002<br \/>\n\u24600.90625<br \/>\n\u8868\u793a\u4e3a\u6700\u7b80\u5206\u6570\u4e3a<code class=\"katex-inline\">\\frac{29}{32}<\/code>\uff0c\u5206\u6bcd<code class=\"katex-inline\">32=2^5<\/code>\u662f2\u7684\u6307\u6570\u5e42\uff0c\u6240\u4ee50.90625\u53ef\u4ee5\u8868\u793a\u4e3a\u4e8c\u8fdb\u5236\u6709\u9650\u5c0f\u6570\u3002<br \/>\n\u24610.4<br \/>\n\u8868\u793a\u4e3a\u6700\u7b80\u5206\u6570\u4e3a<code class=\"katex-inline\">\\frac{2}{5}<\/code>\uff0c\u5206\u6bcd\u4e3a<code class=\"katex-inline\">2^2\\lt5\\lt2^3<\/code>\u4e0d\u662f2\u7684\u6307\u6570\u5e42\uff0c\u6240\u4ee50.4\u4e0d\u80fd\u8868\u793a\u4e3a\u4e8c\u8fdb\u5236\u6709\u9650\u5c0f\u6570\u3002<\/p>\n<p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u7ecf\u5e38\u80fd\u9047\u5230\u4e8c\u8fdb\u5236\u5c0f\u6570\u4e3a\u65e0\u9650\u4f4d\u7684\u60c5\u51b5\uff0c\u4f46\u662f\u56e0\u4e3a\u8ba1\u7b97\u673a\u50a8\u5b58\u6d6e\u70b9\u6570\u7684\u4f4d\u6570\u6709\u9650\uff0c\u53ea\u80fd\u5b58\u50a8\u65e0\u9650\u5c0f\u6570\u7684\u6709\u9650\u4f4d\uff0c\u5bfc\u81f4\u7cbe\u5ea6\u635f\u5931\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"float_%E5%8D%95%E7%B2%BE%E5%BA%A6%E6%B5%AE%E7%82%B9%E6%95%B0%EF%BC%8832%E4%BD%8D%EF%BC%89\"><\/span>float \u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0832\u4f4d\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<h2><span class=\"ez-toc-section\" id=\"%E6%95%B0%E6%8D%AE%E7%BB%93%E6%9E%84\"><\/span>\u6570\u636e\u7ed3\u6784<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"%E5%8D%81%E8%BF%9B%E5%88%B6%E7%A7%91%E5%AD%A6%E8%AE%A1%E6%95%B0%E6%B3%95%E8%A1%A8%E7%A4%BA\"><\/span>\u5341\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5bf9\u4e8e\u4e00\u4e2a\u5341\u8fdb\u5236\u6570\uff0c\u53ef\u4ee5\u7528\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a\u4e3a<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\nV=(-1)^S\\times M\\times10^E\uff0c \\\\\nS \u53d60\u62161\uff0c\u51b3\u5b9a\u662f\u6b63\u6570\u8fd8\u662f\u8d1f\u6570\uff0c \\\\\n1\\le M\\lt10\uff0cM\u4e3a\u5c0f\u6570\uff0c\\\\\nE \u4e3a\u6574\u6570\u3002\n\\end{array}<\/code><\/pre>\n<p>\u6bd4\u5982<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\n128_{10}=(-1)^0\\times1.28\\times10^2\u3010S=0,M=1.28,E=2\u3011\\\\\n-0.0003025_{10}=(-1)^1\\times3.025\\times10^{-4}\u3010S=1\uff0cM=3.025\uff0cE=-4\u3011\n\\end{array}<\/code><\/pre>\n<p>\u5373\u8868\u793a\u4e00\u4e2a\u5341\u8fdb\u5236\u6570\uff0c\u53ef\u4ee5\u901a\u8fc7\u7b26\u53f7S\u3001\u5206\u6570\u503cM\u3001\u6307\u6570\u504f\u79fb\u503cE\u6765\u8868\u793a\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"%E4%BA%8C%E8%BF%9B%E5%88%B6%E7%A7%91%E5%AD%A6%E8%AE%A1%E6%95%B0%E6%B3%95%E8%A1%A8%E7%A4%BA\"><\/span>\u4e8c\u8fdb\u5236\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u800c IEEE-754 \u4e2d\u6d6e\u70b9\u6570\u7684\u8868\u793a\u5c31\u662f\u4e0a\u9762\u7684\u539f\u7406\uff0c\u53ea\u662f\u5b58\u50a8\u91c7\u7528\u7684\u4e8c\u8fdb\u5236\uff0c\u5c06\u57fa\u6570 10 \u6362\u4e3a\u4e86 2<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{l}\nV=(-1)^S\\times M\\times2^E \\\\\nS \u53d60\u62161\uff0c\u51b3\u5b9a\u662f\u6b63\u6570\u8fd8\u662f\u8d1f\u6570\uff0c \\\\\n1\\le M\\lt2\uff0cM\u4e3a\u5c0f\u6570\uff0c\\\\\nE \u4e3a\u6574\u6570\u3002\n\\end{array}<\/code><\/pre>\n<p>\u7279\u522b\u6ce8\u610f M \u7684\u53d6\u503c\uff0cM \u7684\u6574\u6570\u90e8\u5206\u5fc5\u7136\u4e3a 1\u3002\u6bd4\u5982<br \/>\n<code class=\"katex-inline\">5.5_{10}=101.1_2=(1.011\\times2^2)_2<\/code><br \/>\n<code class=\"katex-inline\">3.25_{10}=11.01_2=(1.101\\times2^1)_2<\/code><br \/>\n\u5728\u5341\u8fdb\u5236\u7684\u65f6\u5019 M \u53d6\u503c [1,10)\uff0c\u4e8c\u8fdb\u5236\u53d6\u503c\u5c31\u53ea\u80fd\u662f [1,2)\uff0c\u56e0\u6b64\u5bfc\u81f4\u4e8c\u8fdb\u5236\u4e0b M \u53d6\u503c\u7684\u6574\u6570\u90e8\u5206\u5fc5\u7136\u4e3a 1\uff0c\u6240\u4ee5\u5728\u5b58\u50a8\u7684\u65f6\u5019\u5c31\u4e0d\u7ba1\u6574\u6570\u7684 1\uff0c\u53ef\u4ee5\u53ea\u9700\u8981\u5b58\u50a8\u4e8c\u8fdb\u5236\u5c0f\u6570\u90e8\u5206\u5373\u53ef\u3002<\/p>\n<h3><span class=\"ez-toc-section\" id=\"float_%E5%82%A8%E5%AD%98%E7%BB%93%E6%9E%84\"><\/span>float \u50a8\u5b58\u7ed3\u6784<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u5355\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0832\u4f4d\uff0cfloat\uff09\u6570\u636e\u7ed3\u6784\u5982\u4e0b\uff0c[0,22] \u4f4d\u50a8\u5b58 M \u503c\u7684<strong>\u5c0f\u6570\u90e8\u5206<\/strong>\u301023\u4f4d\u5c3e\u6570\u3011\uff0c[23,30] \u4f4d\u50a8\u5b58 E \u503c\u30108\u4f4d\u9636\u7801\u3011\uff0c[31,31] \u4f4d\u5b58\u50a8 S \u503c\u30101\u4f4d\u7b26\u53f7\u3011\u3002<br \/>\n<img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2024\/08\/image-1724299240726.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 916px; --smush-placeholder-aspect-ratio: 916\/140;\" \/><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E8%A7%84%E6%A0%BC%E5%8C%96%E7%9A%84%E5%80%BC\"><\/span>\u89c4\u683c\u5316\u7684\u503c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u9636\u7801\u6709 8 \u4f4d\uff0c<code class=\"katex-inline\">2^8=256<\/code>\uff0c\u6570\u503c\u4e0a\u53ef\u4ee5\u5b58\u50a8\u7684\u8303\u56f4\u4e3a [0,255]\u3002\u8fd9\u91cc\u6682\u65f6\u4e0d\u7ba1\u7b26\u53f7\uff0c\u53ea\u770b\u6570\u503c\u7edd\u5bf9\u503c\u3002\u5f53\u9636\u7801\u53d6\u503c\u5728 [1,254] \u65f6\u4e3a\u89c4\u683c\u5316\u7684\u503c\u3002<br \/>\n\u2460\u5f53\u9636\u7801\u53d6\u503c[1,126]\u65f6\uff0c\u5bf9\u5e94\u7684\u6307\u6570\u8303\u56f4\u4e3a[-126,-1]\uff0c\u6307\u6570\u4e3a\u8d1f\u6570\uff0c\u6700\u7ec8\u8868\u793a\u7684\u6570\u5fc5\u7136\u5728(0,1)\u4e4b\u95f4\uff1b<br \/>\n\u2461\u5f53\u9636\u7801\u53d6\u503c 127 \u65f6\uff0c\u5bf9\u5e94\u7684\u6307\u6570\u4e3a 0\uff0c\u82e5\u5c3e\u6570\u4e5f\u4e3a 0\uff0c\u5219\u6700\u7ec8\u8868\u793a\u7684\u6570\u4e3a 1\u3010<code class=\"katex-inline\">1_{10}=(1.0)_2\\times2^0<\/code>\u3011\uff0c\u82e5\u5c3e\u6570\u4e0d\u4e3a 0\uff0c\u5219\u6700\u7ec8\u8868\u793a\u7684\u6570\u5728(1,2)<br \/>\n\u2462\u5f53\u9636\u7801\u53d6\u503c[128,254]\u65f6\uff0c\u5bf9\u5e94\u6307\u6570\u8303\u56f4[1,127]\uff0c\u6700\u7ec8\u8868\u793a\u7684\u6570\u8303\u56f4\u5728[2,MAX]<br \/>\n\u2463\u5f53\u9636\u7801\u4e3a 1\uff0c\u5c3e\u6570\u4e3a <code class=\"katex-inline\">00000000000000000000000_2<\/code> \u65f6\u53d6\u5f97\u6700\u63a5\u8fd1 0 \u7684\u5c0f\u6570\u3010\u5728\u89c4\u683c\u5316\u7684\u503c\u4e2d\u3011\uff0c\u5373<code class=\"katex-inline\">1.00000000000000000000000\\times2^{-126}\\approx1.175494350822287507968737\\times10^{-38}<\/code><br \/>\n\u2464\u5f53\u9636\u7801\u4e3a 254\uff0c\u5c3e\u6570\u4e3a <code class=\"katex-inline\">11111111111111111111111_2<\/code> \u65f6\u53d6\u6700\u5927\u503c <code class=\"katex-inline\">(1+2^{-1}+2^{-2}+\\cdots+2^{-23})\\times2^{127}=(2-2^{-23})\\times2^{127}\\approx3.402823466385288598117042\\times10^{38}<\/code><\/p>\n<p>\u4e8e\u662f\u6309 IEEE-754 \u7684\u89c4\u5b9a\uff0c\u6709\u4e86\u6620\u5c04\u5173\u7cfb\uff1a<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{|l|l|}\n\\hline\n\u9636\u7801(\u5bf9\u5e94\u5341\u8fdb\u5236\u503c) &amp; \u5b9e\u9645\u8981\u8868\u793a\u7684\u6307\u6570\u5e42 \\\\\n\\hline\n1 &amp; 2^{-126} \\\\\n\\hline\n\\cdots &amp; \\cdots \\\\\n\\hline\n126 &amp; 2^{-1} \\\\\n\\hline\n127 &amp; 2^0 \\\\\n\\hline\n128 &amp; 2^1 \\\\\n\\hline\n\\cdots &amp; \\cdots \\\\\n\\hline\n254 &amp; 2^{127} \\\\\n\\hline\n\\end{array}<\/code><\/pre>\n<h4><span class=\"ez-toc-section\" id=\"%E9%9D%9E%E8%A7%84%E6%A0%BC%E5%8C%96%E7%9A%84%E5%80%BC\"><\/span>\u975e\u89c4\u683c\u5316\u7684\u503c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u5f53\u9636\u7801\u53d6\u503c\u4e3a 0 \u65f6\uff0c\u4e3a\u975e\u89c4\u683c\u5316\u7684\u503c\u3002<br \/>\n\u2460\u5f53\u9636\u7801\u4e3a 0\uff0c\u5c3e\u6570\u4e3a 0\uff0c\u8868\u793a\u7684\u6570\u4e3a 0\uff0c\u5f53\u7b26\u53f7\u4e3a 1 \u65f6\uff0c\u4e3a -0\uff0c\u5f53\u7b26\u53f7\u4e3a 0 \u65f6\uff0c\u4e3a +0\u3002<br \/>\n\u2461\u5f53\u9636\u7801\u4e3a 0\uff0c\u5c3e\u6570\u4e0d\u4e3a 0 \u65f6\uff0c\u4e0e\u89c4\u683c\u5316\u7684\u503c\u4e0d\u540c\uff0c\u6b64\u65f6 M \u7684\u53d6\u503c\u4e0d\u518d\u662f [1,2)\uff0c\u800c\u662f(0,1)\uff0c\u4e5f\u5c31\u610f\u5473\u7740\u6b64\u65f6\u5c3e\u6570\u7684\u503c\u4e0d\u518d\u52a0\u6574\u6570 1\uff0c\u5c3e\u6570\u8868\u793a\u7684\u5c0f\u6570\u5c31\u662f M \u7684\u503c\u3002<br \/>\n\u4ee5\u5341\u8fdb\u5236\u6765\u7406\u89e3\uff0c\u6bd4\u5982\u7528 <code class=\"katex-inline\">1.75\\times10^{-1}<\/code> \u8868\u793a 0.175 \u5c31\u662f\u89c4\u683c\u5316\u7684\uff0c\u800c\u7528 <code class=\"katex-inline\">0.175\\times10^0<\/code>\u5c31\u662f\u975e\u89c4\u683c\u5316\u7684\u3002\u89c4\u683c\u5316\u7684\u503c\uff0cM \u81f3\u5c11\u4e3a 1\uff0c\u9636\u7801\u6700\u5c0f\u4e3a <code class=\"katex-inline\">2^{-126}<\/code>\uff0c\u5c3e\u6570\u53ea\u8868\u793a\u5c0f\u6570\u90e8\u5206\uff0c\u9ed8\u8ba4\u52a0 1 \u4f5c\u4e3a M \u7684\u503c\uff0c\u80fd\u8868\u793a\u7684\u6700\u5c0f\u6570\u5c31\u662f <code class=\"katex-inline\">1.0\\times2^{-126}<\/code>\uff0c\u4e5f\u5c31\u5bfc\u81f4\u6ca1\u6cd5\u8868\u793a 0\uff0c\u4ee5\u53ca\u66f4\u63a5\u8fd1 0 \u7684\u6570\uff0c\u800c\u975e\u89c4\u683c\u5316\u7684\u503c\uff0c\u5c3e\u6570\u53ea\u8868\u793a\u5c0f\u6570\u90e8\u5206\uff0c\u4e14 M \u7684\u503c\u53ea\u5305\u542b\u5c3e\u6570\u8868\u793a\u7684\u5c0f\u6570\uff0c\u4e0d\u518d\u52a0 1\u3002\u8fd9\u6837\u5f53\u5c3e\u6570\u4e5f\u4e3a 0 \u7684\u65f6\u5019\uff0c\u8868\u793a\u7684\u503c\u5c31\u662f 0\uff0c\u968f\u7740\u5c3e\u6570\u4ece <code class=\"katex-inline\">11111111111111111111111_2<\/code> \u51cf\u5c0f\u5230 <code class=\"katex-inline\">00000000000000000000001_2<\/code> \u9010\u6e10\u66f4\u52a0\u63a5\u8fd1 0\u3002<\/p>\n<p>\u6709\u8fd9\u6837\u7684\u5173\u7cfb<br \/>\n\u5047\u5982\u9636\u7801\u4e3a 1\uff0c\u5c3e\u6570\u4e3a <code class=\"katex-inline\">00000000000000000000000_2<\/code> \u65f6\uff0c\u4ee3\u8868\u7684\u503c\u4e3a a<br \/>\n\u9636\u7801\u4e3a 0\uff0c\u5c3e\u6570\u4e3a <code class=\"katex-inline\">11111111111111111111111_2<\/code> \u65f6\uff0c\u4ee3\u8868\u7684\u503c\u4e3a b<br \/>\n\u90a3\u4e48\u5c31\u6709 a = b + <code class=\"katex-inline\">2^{-23}\\times2^{-126}=b+2^{-149}<\/code>\uff0c\u5373 <code class=\"katex-inline\">a-b=2^{-149}<\/code><\/p>\n<p>\u8bc1\u660e\uff1a<br \/>\n\u9636\u7801\u4e3a 0\uff0c\u5c3e\u6570\u4e3a <code class=\"katex-inline\">11111111111111111111111_2<\/code>\uff0c\u5373<code class=\"katex-inline\">b=(2^{-1}+2^{-2}+\\cdots+2^{-23})\\times2^{-126}=(1-2^{-23})\\times2^{-126}=2^{-126}-2^{-149}<\/code><br \/>\n\u800c<code class=\"katex-inline\">a=2^{-126}<\/code><br \/>\n<code class=\"katex-inline\">a-b=2^{-126}-(2^{-126}-2^{-149})=2^{-149}<\/code>\uff0c\u5373\u8bc1\u660e<\/p>\n<p>\u5f53\u9636\u7801\u4e3a 0\uff0c\u5c3e\u6570\u53d6\u5230 <code class=\"katex-inline\">00000000000000000000001_2<\/code> \u65f6\uff0c\u5f97\u5230 float \u80fd\u8868\u8fbe\u7684\u6700\u63a5\u8fd1 0 \u7684\u5c0f\u6570 <code class=\"katex-inline\">2^{-23}\\times2^{-126}=2^{-149}\\approx1.401298464324817070923730\\times10^{-45}<\/code><\/p>\n<h4><span class=\"ez-toc-section\" id=\"%E7%89%B9%E6%AE%8A%E5%80%BC\"><\/span>\u7279\u6b8a\u503c<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>\u5f53\u9636\u7801\u4e3a 255 \u65f6\uff0c\u8868\u793a\u7279\u6b8a\u503c\u3002<br \/>\n\u9636\u7801\u4e3a 255\uff0c\u5c3e\u6570\u5168\u4e3a 0 \u65f6\uff0c\u4e3a\u65e0\u7a77\u3002\u7b26\u53f7\u4e3a 1 \u65f6\u662f <code class=\"katex-inline\">-\\infty<\/code>\uff0c\u7b26\u53f7\u4e3a 0 \u65f6\u4e3a <code class=\"katex-inline\">+\\infty<\/code>\u3002\u5728\u4e24\u4e2a\u975e\u5e38\u5927\u7684\u6570\u76f8\u4e58\u65f6\uff0c\u6216\u9664\u6570\u4e3a 0 \u65f6\uff0c\u65e0\u7a77\u53ef\u4ee5\u8868\u793a\u6ea2\u51fa\u7684\u7ed3\u679c\u3002<br \/>\n\u9636\u7801\u4e3a 255\uff0c\u4e14\u5c3e\u6570\u4e3a\u975e\u96f6\uff0c\u5219\u8868\u793a \u201cNaN\u201d\u3010Not a Number\u3011\u3002\u4e00\u4e9b\u8fd0\u7b97\u7684\u7ed3\u679c\u4e0d\u80fd\u662f\u5b9e\u6570\u6216\u65e0\u7a77\uff0c\u5c31\u4f1a\u5f97\u5230 NaN\u3002<\/p>\n<h1><span class=\"ez-toc-section\" id=\"double_%E5%8F%8C%E7%B2%BE%E5%BA%A6%E6%B5%AE%E7%82%B9%E6%95%B0%EF%BC%8864%E4%BD%8D%EF%BC%89\"><\/span>double \u53cc\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0864\u4f4d\uff09<span class=\"ez-toc-section-end\"><\/span><\/h1>\n<p>double \u7684\u6570\u636e\u7ed3\u6784\u548c float \u7c7b\u4f3c\uff0cdouble \u4e3a\u53cc\u7cbe\u5ea6\u6d6e\u70b9\u6570\uff0c\u6570\u636e\u603b\u4f4d\u6570\u4e3a 64\u3002\u6700\u9ad8\u4f4d\u662f\u7b26\u53f7\u4f4d\uff0c\u9636\u7801\u4ece 8 \u4e3a\u52a0\u5230 11 \u4f4d\uff0c\u5c3e\u6570\u4ece 23 \u4f4d\u52a0\u5230 52 \u4f4d\u3002\u76f8\u5173\u89c4\u5b9a\u548c float \u4e00\u6837\u3002<br \/>\n<img decoding=\"async\" data-src=\"https:\/\/blog.iyatt.com\/wp-content\/uploads\/2024\/08\/image-1724472771540.png\" alt=\"file\" src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" style=\"--smush-placeholder-width: 1507px; --smush-placeholder-aspect-ratio: 1507\/130;\" \/><\/p>\n<p>\u9636\u7801\u4e3a 11 \u4f4d\uff0c<code class=\"katex-inline\">2^{11}=2048<\/code>\uff0c\u5373\u6570\u503c\u4e0a\u53ef\u4ee5\u5b58\u50a8\u7684\u8303\u56f4\u4e3a[0,2047]<br \/>\n\u540c\u6837\uff0c\u9636\u7801\u4e3a 0 \u65f6\u662f\u975e\u89c4\u683c\u5316\u7684\u503c\uff0c\u9636\u7801\u4e3a 2047 \u65f6\u4e3a\u7279\u6b8a\u503c\uff0c\u9636\u7801\u53d6\u503c [1,2046] \u65f6\u4e3a\u89c4\u683c\u5316\u7684\u503c\u3002<br \/>\n\u5728\u89c4\u683c\u5316\u7684\u503c\u8303\u56f4\u5185<\/p>\n<pre><code class=\"language-katex\">\\begin{array}{|l|l|}\n\\hline\n\u9636\u7801(\u5bf9\u5e94\u5341\u8fdb\u5236\u503c) &amp; \u5b9e\u9645\u8981\u8868\u793a\u7684\u6307\u6570\u5e42 \\\\\n\\hline\n1 &amp; 2^{-1022} \\\\\n\\hline\n\\cdots &amp; \\cdots \\\\\n\\hline\n1022 &amp; 2^{-1} \\\\\n\\hline\n1023 &amp; 2^0 \\\\\n\\hline\n1024 &amp; 2^1 \\\\\n\\hline\n\\cdots &amp; \\cdots \\\\\n\\hline\n2046 &amp; 2^{1023} \\\\\n\\hline\n\\end{array}<\/code><\/pre>\n<p>\u5728\u89c4\u683c\u5316\u7684\u503c\u4e2d\uff0c<br \/>\n\u9636\u7801\u4e3a1\uff0c\u5c3e\u6570\u5168\u4e3a0\uff0c\u8868\u793a\u6700\u63a5\u8fd1 0 \u7684\u6570\uff0c<code class=\"katex-inline\">1.0\\times2^{-1022}\\approx2.22507385850720138309023271733\\times10^{-308}<\/code><br \/>\n\u9636\u7801\u4e3a2046\uff0c\u5c3e\u6570\u5168\u4e3a1\uff0c\u8868\u793a\u6700\u5927\u503c\uff0c<code class=\"katex-inline\">2^{52}\\times2^{1023}\\approx1.79769313486231570814527423732\\times10^{308}<\/code><\/p>\n<p>\u5728\u975e\u89c4\u683c\u5316\u7684\u503c\u4e2d\uff0c<br \/>\n\u9636\u7801\u4e3a0\uff0c\u5c3e\u6570\u4ec5\u6700\u4f4e\u4f4d\u4e3a1\uff0c\u8868\u793a\u6700\u63a5\u8fd1 0 \u7684\u6570\uff0c<code class=\"katex-inline\">2^{-52}\\times2^{-1022}\\approx4.94065645841246544176568792868\\times10^{-324}<\/code><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u524d\u8a00 \u4ece\u6211\u9ad8\u4e8c\u63a5\u89e6\u5230 C \u8bed\u8a00\uff0c\u518d\u5230\u5927\u5b66\u5f00\u59cb\u7528 C++\uff0c\u4e0d\u53ef\u907f\u514d\u7684\u90fd\u7528\u5230\u6d6e\u70b9\u6570\uff0c\u4f46\u662f\u5374\u4e00\u76f4\u6ca1\u53bb\u4e86\u89e3\u6216\u7406\u89e3 fl [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"zakra_page_container_layout":"customizer","zakra_page_sidebar_layout":"customizer","zakra_remove_content_margin":false,"zakra_sidebar":"customizer","zakra_transparent_header":"customizer","zakra_logo":0,"zakra_main_header_style":"default","zakra_menu_item_color":"","zakra_menu_item_hover_color":"","zakra_menu_item_active_color":"","zakra_menu_active_style":"","zakra_page_header":true,"_lmt_disableupdate":"no","_lmt_disable":"no","footnotes":""},"categories":[1,589,594],"tags":[],"class_list":["post-17133","post","type-post","status-publish","format-standard","hentry","category-all","category-c-c","category-594"],"modified_by":"IYATT-yx","_links":{"self":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/17133","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17133"}],"version-history":[{"count":0,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=\/wp\/v2\/posts\/17133\/revisions"}],"wp:attachment":[{"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.iyatt.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}