Template:Hex/doc
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(Redirected from Template:Shn2/doc)
This is a documentation subpage for Template:Hex.
It contains usage information, categories, and other content that is not part of the original template page.
It contains usage information, categories, and other content that is not part of the original template page.
This template shows the exact value of a number of type float.
The significand is given in hexadecimal format, which, apart from the sign, consists of a fixed "1.", followed by 13 hexadecimal characters.
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
[edit ]{{hex}}→{{hex|a}}→a{{hex|0}}→0{{hex|-0}}→0{{hex|1/7}}→Template:Significand2 hex *2^-3{{hex|-2/3}}→-Template:Significand2 hex *2^-1{{hex|123}}→Template:Significand2 hex *2^6{{hex|.0123}}→Template:Significand2 hex *2^-7
{{hex|1+2^-52}}→Template:Significand2 hex *2^0{{hex|1.0000000000000002}}→Template:Significand2 hex *2^0{{hex|1+2e-16}}→Template:Significand2 hex *2^0
{{hex|-1e309}}→-INF{{hex|1e309}}→INF{{hex|1e308}}→Template:Significand2 hex *2^1023{{hex|1e307}}→Template:Significand2 hex *2^1019{{hex|1e306}}→Template:Significand2 hex *2^1016{{hex|1e305}}→Template:Significand2 hex *2^1013{{hex|1e304}}→Template:Significand2 hex *2^1009{{hex|1e303}}→Template:Significand2 hex *2^1006{{hex|1e302}}→Template:Significand2 hex *2^1003{{hex|1e301}}→Template:Significand2 hex *2^999{{hex|1e300}}→Template:Significand2 hex *2^996{{hex|1e299}}→Template:Significand2 hex *2^993{{hex|1e298}}→Template:Significand2 hex *2^989{{hex|1e297}}→Template:Significand2 hex *2^986{{hex|1e296}}→Template:Significand2 hex *2^983{{hex|1e295}}→Template:Significand2 hex *2^979{{hex|1e294}}→Template:Significand2 hex *2^976{{hex|1e293}}→Template:Significand2 hex *2^973{{hex|1e292}}→Template:Significand2 hex *2^970
{{hex|1e-308}}→Template:Significand2 hex *2^-1024{{hex|1e-309}}→Template:Significand2 hex *2^-1027{{hex|1e-310}}→Template:Significand2 hex *2^-1030{{hex|1e-311}}→Template:Significand2 hex *2^-1034{{hex|1e-312}}→Template:Significand2 hex *2^-1037{{hex|1e-313}}→Template:Significand2 hex *2^-1040{{hex|1e-314}}→Template:Significand2 hex *2^-1044{{hex|1e-315}}→Template:Significand2 hex *2^-1047{{hex|1e-316}}→Template:Significand2 hex *2^-1050{{hex|1e-317}}→Template:Significand2 hex *2^-1054{{hex|1e-318}}→Template:Significand2 hex *2^-1057{{hex|1e-319}}→Template:Significand2 hex *2^-1060{{hex|1e-320}}→Template:Significand2 hex *2^-1064{{hex|1e-321}}→Template:Significand2 hex *2^-1067{{hex|1e-322}}→Template:Significand2 hex *2^-1070{{hex|1e-323}}→Template:Significand2 hex *2^-1073{{hex|1e-323/2}}→Template:Significand2 hex *2^-1074{{hex|1e-323/3}}→Template:Significand2 hex *2^-1074{{hex|1e-323/4}}→0{{hex|.{{loop|323|0}}25}}→Template:Significand2 hex *2^-1074{{hex|.{{loop|323|0}}24}}→0{{hex|1000000e-324}}→0
{{hex|1.71*2^-1021}}→Template:Significand2 hex *2^-1021{{hex|1.71*2^-1022}}→Template:Significand2 hex *2^-1022{{hex|1.71*2^-1023}}→Template:Significand2 hex *2^-1023{{hex|1.71*2^-1024}}→Template:Significand2 hex *2^-1024{{hex|1.71*2^-1025}}→Template:Significand2 hex *2^-1025{{hex|1.71*2^-1064}}→Template:Significand2 hex *2^-1064{{hex|1.71*2^-1065}}→Template:Significand2 hex *2^-1065{{hex|1.71*2^-1066}}→Template:Significand2 hex *2^-1066{{hex|1.71*2^-1067}}→Template:Significand2 hex *2^-1067{{hex|1.71*2^-1068}}→Template:Significand2 hex *2^-1068{{hex|1.71*2^-1069}}→Template:Significand2 hex *2^-1069{{hex|1.71*2^-1070}}→Template:Significand2 hex *2^-1070{{hex|1.71*2^-1071}}→Template:Significand2 hex *2^-1071{{hex|1.71*2^-1072}}→Template:Significand2 hex *2^-1072{{hex|1.71*2^-1073}}→Template:Significand2 hex *2^-1073{{hex|1.71*2^-1074}}→Template:Significand2 hex *2^-1073{{hex|3*2^-1074}}→Template:Significand2 hex *2^-1073{{hex|2*2^-1074}}→Template:Significand2 hex *2^-1073{{hex|1*2^-1074}}→Template:Significand2 hex *2^-1074
Numbers of type integer which are not exactly representable as float:
{{hex|trunc(2^62-512)+trunc511}}→Template:Significand2 hex *2^61