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doc ///
Key
changeBase
(changeBase, ZZ, ZZ)
(changeBase, String, ZZ)
(changeBase, String, ZZ, ZZ)
Headline
change integer base
Usage
changeBase(n, newbase)
changeBase(str, oldbase)
changeBase(str, oldbase, newbase)
Inputs
n:ZZ
str:String
oldbase:ZZ
newbase:ZZ
Outputs
:{ZZ, String}
Description
Text
When both arguments are integers, the return value is a string
representation of the first argument in the base given by the second
argument.
Example
changeBase(255, 16)
Text
Bases from 2 to 62 are supported. If @TT "newbase"@ is between 11 and
36, then the digits representing 10 through @TT "newbase - 1"@ are the
lowercase letters.
Example
for n from 10 to 35 list changeBase(n, 36)
Text
If @TT "newbase"@ is between 37 and 62, then the digits representing 10
through 35 are uppercase letters and the digits representing 36 through
@TT "newbase - 1"@ are lowercase letters.
Example
for n from 10 to 61 list changeBase(n, 62)
Text
If the first argument is a string, then we get the inverse operation,
i.e., the @TO ZZ@ object that the string represents in the given base.
Example
changeBase("ff", 16)
Text
Uppercase letters are also allowed when @TT "oldbase"@ is between 11 and
36, as there is no ambiguity.
Example
changeBase("FF", 16)
Text
If @TT "oldbase"@ is 0, then the base is determined by the standard C
prefix, i.e., @TT "0b"@ or @TT "0B"@ for binary, @TT "0"@ for octal,
@TT "0x"@ or @TT "0X"@ for hexadecimal, and no prefix for decimal.
Example
apply({"0b10", "0B10", "010", "0x10", "0X10", "10"}, s -> changeBase(s, 0))
Text
If a string and two integer arguments are given, then the integer
represented by the string is converted from one base to another,
returning a string.
Example
changeBase("ff", 16, 2)
///
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