テンプレート:Hex/docのソースを表示

{{Documentation subpage}}
This template shows the exact value of a number of type float. 

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.

[[w:Denormal number|Denormal numbers]] 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 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).

See also [[Help:Calculation accuracy]].

==Examples==
*{{xpsoc|hex}}
*{{xpsoc|hex|a}}
*{{xpsoc|hex|0}}
*{{xpsoc|hex|-0}}
*{{xpsoc|hex|1/7}}
*{{xpsoc|hex|-2/3}}
*{{xpsoc|hex|123}}
*{{xpsoc|hex|.0123}}

*{{xpsoc|hex|1+2^-52}}
*{{xpsoc|hex|1.0000000000000002}}
*{{xpsoc|hex|1+2e-16}}

*{{xpsoc|hex|-1e309}}
*{{xpsoc|hex|1e309}}
*{{xpsoc|hex|1e308}}
*{{xpsoc|hex|1e307}}
*{{xpsoc|hex|1e306}}
*{{xpsoc|hex|1e305}}
*{{xpsoc|hex|1e304}}
*{{xpsoc|hex|1e303}}
*{{xpsoc|hex|1e302}}
*{{xpsoc|hex|1e301}}
*{{xpsoc|hex|1e300}}
*{{xpsoc|hex|1e299}}
*{{xpsoc|hex|1e298}}
*{{xpsoc|hex|1e297}}
*{{xpsoc|hex|1e296}}
*{{xpsoc|hex|1e295}}
*{{xpsoc|hex|1e294}}
*{{xpsoc|hex|1e293}}
*{{xpsoc|hex|1e292}}

*{{xpsoc|hex|1e-308}}
*{{xpsoc|hex|1e-309}}
*{{xpsoc|hex|1e-310}}
*{{xpsoc|hex|1e-311}}
*{{xpsoc|hex|1e-312}}
*{{xpsoc|hex|1e-313}}
*{{xpsoc|hex|1e-314}}
*{{xpsoc|hex|1e-315}}
*{{xpsoc|hex|1e-316}}
*{{xpsoc|hex|1e-317}}
*{{xpsoc|hex|1e-318}}
*{{xpsoc|hex|1e-319}}
*{{xpsoc|hex|1e-320}}
*{{xpsoc|hex|1e-321}}
*{{xpsoc|hex|1e-322}}
*{{xpsoc|hex|1e-323}}
*{{xpsoc|hex|1e-323/2}}
*{{xpsoc|hex|1e-323/3}}
*{{xpsoc|hex|1e-323/4}}
*<code><nowiki>{{hex|.{{loop|323|0}}25}}</nowiki></code> → {{hex|.{{loop|323|0}}25}}
*<code><nowiki>{{hex|.{{loop|323|0}}24}}</nowiki></code> → {{hex|.{{loop|323|0}}24}}
*{{xpsoc|hex|1000000e-324}}

*{{xpsoc|hex|1.71*2^-1021}}
*{{xpsoc|hex|1.71*2^-1022}}
*{{xpsoc|hex|1.71*2^-1023}}
*{{xpsoc|hex|1.71*2^-1024}}
*{{xpsoc|hex|1.71*2^-1025}}
*{{xpsoc|hex|1.71*2^-1064}}
*{{xpsoc|hex|1.71*2^-1065}}
*{{xpsoc|hex|1.71*2^-1066}}
*{{xpsoc|hex|1.71*2^-1067}}
*{{xpsoc|hex|1.71*2^-1068}}
*{{xpsoc|hex|1.71*2^-1069}}
*{{xpsoc|hex|1.71*2^-1070}}
*{{xpsoc|hex|1.71*2^-1071}}
*{{xpsoc|hex|1.71*2^-1072}}
*{{xpsoc|hex|1.71*2^-1073}}
*{{xpsoc|hex|1.71*2^-1074}}
*{{xpsoc|hex|3*2^-1074}}
*{{xpsoc|hex|2*2^-1074}}
*{{xpsoc|hex|1*2^-1074}}

Numbers of type integer which are not exactly representable as float:
*{{xpsoc|hex|trunc(2^62-512)+trunc511}}


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[[Category:Mathematical templates|Hex]]
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