テンプレート:Hex

Template documentation

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

• {{hex}} →
• {{hex|a}} → a
• {{hex|0}} → 0
• {{hex|-0}} → 0
• {{hex|1/7}} → 1.2492492492492hex*2^-3
• {{hex|-2/3}} → -1.5555555555555hex*2^-1
• {{hex|123}} → 1.ec00000000000hex*2^6
• {{hex|.0123}} → 1.930be0ded288dhex*2^-7

• {{hex|1+2^-52}} → 1.0000000000001hex*2^0
• {{hex|1.0000000000000002}} → 1.0000000000001hex*2^0
• {{hex|1+2e-16}} → 1.0000000000001hex*2^0

• {{hex|-1e309}} → -INF
• {{hex|1e309}} → INF
• {{hex|1e308}} → 1.1ccf385ebc8a0hex*2^1023
• {{hex|1e307}} → 1.c7b1f3cac7433hex*2^1019
• {{hex|1e306}} → 1.6c8e5ca239029hex*2^1016
• {{hex|1e305}} → 1.23a516e82d9bahex*2^1013
• {{hex|1e304}} → 1.d2a1be4048f90hex*2^1009
• {{hex|1e303}} → 1.754e31cd072dahex*2^1006
• {{hex|1e302}} → 1.2aa4f4a405be2hex*2^1003
• {{hex|1e301}} → 1.ddd4baa009303hex*2^999
• {{hex|1e300}} → 1.7e43c8800759chex*2^996
• {{hex|1e299}} → 1.31cfd3999f7b0hex*2^993
• {{hex|1e298}} → 1.e94c85c298c4chex*2^989
• {{hex|1e297}} → 1.87706b0213d0ahex*2^986
• {{hex|1e296}} → 1.3926bc01a973bhex*2^983
• {{hex|1e295}} → 1.f50ac6690f1f8hex*2^979
• {{hex|1e294}} → 1.90d56b873f4c7hex*2^976
• {{hex|1e293}} → 1.40aabc6c32a38hex*2^973
• {{hex|1e292}} → 1.008896bcf54fahex*2^970

• {{hex|1e-308}} → 1.cc359e067a348hex*2^-1024
• {{hex|1e-309}} → 1.702ae4d1fb5ehex*2^-1027
• {{hex|1e-310}} → 1.2688b70e62bhex*2^-1030
• {{hex|1e-311}} → 1.d74124e3d1hex*2^-1034
• {{hex|1e-312}} → 1.7900ea4fd8hex*2^-1037
• {{hex|1e-313}} → 1.2d9a550cchex*2^-1040
• {{hex|1e-314}} → 1.e2908814hex*2^-1044
• {{hex|1e-315}} → 1.820d39ahex*2^-1047
• {{hex|1e-316}} → 1.34d761hex*2^-1050
• {{hex|1e-317}} → 1.ee257hex*2^-1054
• {{hex|1e-318}} → 1.8b510hex*2^-1057
• {{hex|1e-319}} → 1.3c40hex*2^-1060
• {{hex|1e-320}} → 1.fa0hex*2^-1064
• {{hex|1e-321}} → 1.94hex*2^-1067
• {{hex|1e-322}} → 1.4hex*2^-1070
• {{hex|1e-323}} → 1.0hex*2^-1073
• {{hex|1e-323/2}} → 1.hex*2^-1074
• {{hex|1e-323/3}} → 1.hex*2^-1074
• {{hex|1e-323/4}} → 0
• {{hex|.{{loop|323|0}}25}} → 1.hex*2^-1074
• {{hex|.{{loop|323|0}}24}} → 0
• {{hex|1000000e-324}} → 0

• {{hex|1.71*2^-1021}} → 1.b5c28f5c28f5chex*2^-1021
• {{hex|1.71*2^-1022}} → 1.b5c28f5c28f5chex*2^-1022
• {{hex|1.71*2^-1023}} → 1.b5c28f5c28f5chex*2^-1023
• {{hex|1.71*2^-1024}} → 1.b5c28f5c28f5chex*2^-1024
• {{hex|1.71*2^-1025}} → 1.b5c28f5c28f60hex*2^-1025
• {{hex|1.71*2^-1064}} → 1.b5chex*2^-1064
• {{hex|1.71*2^-1065}} → 1.b60hex*2^-1065
• {{hex|1.71*2^-1066}} → 1.b6hex*2^-1066
• {{hex|1.71*2^-1067}} → 1.b6hex*2^-1067
• {{hex|1.71*2^-1068}} → 1.b4hex*2^-1068
• {{hex|1.71*2^-1069}} → 1.b8hex*2^-1069
• {{hex|1.71*2^-1070}} → 1.bhex*2^-1070
• {{hex|1.71*2^-1071}} → 1.chex*2^-1071
• {{hex|1.71*2^-1072}} → 1.chex*2^-1072
• {{hex|1.71*2^-1073}} → 1.8hex*2^-1073
• {{hex|1.71*2^-1074}} → 1.0hex*2^-1073
• {{hex|3*2^-1074}} → 1.8hex*2^-1073
• {{hex|2*2^-1074}} → 1.0hex*2^-1073
• {{hex|1*2^-1074}} → 1.hex*2^-1074

Numbers of type integer which are not exactly representable as float:

• {{hex|trunc(2^62-512)+trunc511}} → 2hex*2^61