https://compusofia.com/w/index.php?action=history&feed=atom&title=Template%3AHex%2Fdoc 2026-04-19T07:32:59Z Revision history for this page on the wiki MediaWiki 1.45.3 https://compusofia.com/w/index.php?title=Template:Hex/doc&diff=7245&oldid=prev 2026-04-17T06:23:31Z

<p>Created page with &quot;{{Documentation subpage}} This template shows the exact value of a number of type float. The <a href="https://en.wikipedia.org/wiki/significand" class="extiw" title="w:significand">significand</a> is given in <a href="https://en.wikipedia.org/wiki/hexadecimal" class="extiw" title="w:hexadecimal">hexadecimal</a> format, which, apart from the sign, consists of a fixed &quot;&lt;code&gt;1.&lt;/code&gt;&quot;, followed by 13 hexadecimal characters. <a href="https://en.wikipedia.org/wiki/Denormal_number" class="extiw" title="w:Denormal number">Denormal numbers</a> are shown in normalized format, not in internal format, but without inherently zero digits. No distinction is made between 0 and -0. For numbers of type...&quot;</p> <p><b>New page</b></p><div>{{Documentation subpage}}<br /> This template shows the exact value of a number of type float. <br /> <br /> The [[w:significand|significand]] is given in [[w:hexadecimal|hexadecimal]] format, which, apart from the sign, consists of a fixed &quot;&lt;code&gt;1.&lt;/code&gt;&quot;, followed by 13 hexadecimal characters.<br /> <br /> [[w:Denormal number|Denormal numbers]] are shown in normalized format, not in internal format, but without inherently zero digits.<br /> <br /> No distinction is made between 0 and -0.<br /> <br /> For numbers of type integer which are not exactly representable as float the integer is rounded to float. If an integer just below 2^n is rounded to 2^n the result is shown in the form 2*2^(n-1), thus giving the exponent the value it would have in an exact floating-point representation (which would require up to 10 bits more, hence up to three hexadecimal digits more).<br /> <br /> See also [[Manual:Floating-point errors in expr parser function]].<br /> <br /> ==Examples==<br /> *{{xpsoc|hex}}<br /> *{{xpsoc|hex|a}}<br /> *{{xpsoc|hex|0}}<br /> *{{xpsoc|hex|-0}}<br /> *{{xpsoc|hex|1/7}}<br /> *{{xpsoc|hex|-2/3}}<br /> *{{xpsoc|hex|123}}<br /> *{{xpsoc|hex|.0123}}<br /> <br /> *{{xpsoc|hex|1+2^-52}}<br /> *{{xpsoc|hex|1.0000000000000002}}<br /> *{{xpsoc|hex|1+2e-16}}<br /> <br /> *{{xpsoc|hex|-1e309}}<br /> *{{xpsoc|hex|1e309}}<br /> *{{xpsoc|hex|1e308}}<br /> *{{xpsoc|hex|1e307}}<br /> *{{xpsoc|hex|1e306}}<br /> *{{xpsoc|hex|1e305}}<br /> *{{xpsoc|hex|1e304}}<br /> *{{xpsoc|hex|1e303}}<br /> *{{xpsoc|hex|1e302}}<br /> *{{xpsoc|hex|1e301}}<br /> *{{xpsoc|hex|1e300}}<br /> *{{xpsoc|hex|1e299}}<br /> *{{xpsoc|hex|1e298}}<br /> *{{xpsoc|hex|1e297}}<br /> *{{xpsoc|hex|1e296}}<br /> *{{xpsoc|hex|1e295}}<br /> *{{xpsoc|hex|1e294}}<br /> *{{xpsoc|hex|1e293}}<br /> *{{xpsoc|hex|1e292}}<br /> <br /> *{{xpsoc|hex|1e-308}}<br /> *{{xpsoc|hex|1e-309}}<br /> *{{xpsoc|hex|1e-310}}<br /> *{{xpsoc|hex|1e-311}}<br /> *{{xpsoc|hex|1e-312}}<br /> *{{xpsoc|hex|1e-313}}<br /> *{{xpsoc|hex|1e-314}}<br /> *{{xpsoc|hex|1e-315}}<br /> *{{xpsoc|hex|1e-316}}<br /> *{{xpsoc|hex|1e-317}}<br /> *{{xpsoc|hex|1e-318}}<br /> *{{xpsoc|hex|1e-319}}<br /> *{{xpsoc|hex|1e-320}}<br /> *{{xpsoc|hex|1e-321}}<br /> *{{xpsoc|hex|1e-322}}<br /> *{{xpsoc|hex|1e-323}}<br /> *{{xpsoc|hex|1e-323/2}}<br /> *{{xpsoc|hex|1e-323/3}}<br /> *{{xpsoc|hex|1e-323/4}}<br /> *&lt;code&gt;&lt;nowiki&gt;{{hex|.{{loop|323|0}}25}}&lt;/nowiki&gt;&lt;/code&gt; → {{hex|.{{loop|323|0}}25}}<br /> *&lt;code&gt;&lt;nowiki&gt;{{hex|.{{loop|323|0}}24}}&lt;/nowiki&gt;&lt;/code&gt; → {{hex|.{{loop|323|0}}24}}<br /> *{{xpsoc|hex|1000000e-324}}<br /> <br /> *{{xpsoc|hex|1.71*2^-1021}}<br /> *{{xpsoc|hex|1.71*2^-1022}}<br /> *{{xpsoc|hex|1.71*2^-1023}}<br /> *{{xpsoc|hex|1.71*2^-1024}}<br /> *{{xpsoc|hex|1.71*2^-1025}}<br /> *{{xpsoc|hex|1.71*2^-1064}}<br /> *{{xpsoc|hex|1.71*2^-1065}}<br /> *{{xpsoc|hex|1.71*2^-1066}}<br /> *{{xpsoc|hex|1.71*2^-1067}}<br /> *{{xpsoc|hex|1.71*2^-1068}}<br /> *{{xpsoc|hex|1.71*2^-1069}}<br /> *{{xpsoc|hex|1.71*2^-1070}}<br /> *{{xpsoc|hex|1.71*2^-1071}}<br /> *{{xpsoc|hex|1.71*2^-1072}}<br /> *{{xpsoc|hex|1.71*2^-1073}}<br /> *{{xpsoc|hex|1.71*2^-1074}}<br /> *{{xpsoc|hex|3*2^-1074}}<br /> *{{xpsoc|hex|2*2^-1074}}<br /> *{{xpsoc|hex|1*2^-1074}}<br /> <br /> Numbers of type integer which are not exactly representable as float:<br /> *{{xpsoc|hex|trunc(2^62-512)+trunc511}}<br /> <br /> <br /> &lt;includeonly&gt;<br /> [[Category:Mathematical templates|Hex]]<br /> &lt;/includeonly&gt;</div>

Majestix