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<p><b>新規ページ</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 "<code>1.</code>", 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 [[Help:Calculation accuracy]].<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 />
*<code><nowiki>{{hex|.{{loop|323|0}}25}}</nowiki></code> → {{hex|.{{loop|323|0}}25}}<br />
*<code><nowiki>{{hex|.{{loop|323|0}}24}}</nowiki></code> → {{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 />
<includeonly><br />
[[Category:Mathematical templates|Hex]]<br />
</includeonly></div>Nijcadmin