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Convert numbers between bases.

Project Description

Convert any rational number, from any (positive integer) base, to any (positive integer) base. Output numbers as tuple or string.

  • Any rational number
  • Arbitrary precision
  • Fractions
  • Recurring/repeating fractional digits.
  • Input numbers as tuple or string or number.
  • Output numbers as tuple or string.

MIT License (MIT) Copyright (c) 2016 Joshua Deakin

github

contact@joshuadeakin.com

Requires

  • Python 3

Install / Uninstall

Install:

pip install baseconvert

Uninstall:

pip uninstall baseconvert

Quickstart

# base(number, input_base, output_base)

>>> base((15, 15, 0, ".", 8), 16, 10)
(4, 0, 8, 0, '.', 5)

>>> base("FF0.8", 16, 10, string=True)
'4080.5'

>>> base("4080.5", 10, 16, string=True)
'FF0.8'

Or from command line

$ echo 4080.5 | python -m baseconvert -i 10 -o 16
FF0.8

$ python -m baseconvert -n 4080.5 -i 10 -o 16
FF0.8

Tuple representation

Numbers are represented as a sequence of digits. Each digit is a base-10 integer value. The radix point, which separates the integer and fractional parts, is denoted by a string period.

(int, int, int, ... , '.', ... , int, int, int)
(   integer part    , '.',  fractional part   )

String representation

String digits (after z the values are in ascending Unicode):

0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz

|  Value  | Representation |
|---------|----------------|
|  0 -  9 |    0  -  9     |
| 10 - 53 |    A  -  Z     |
| 36 - 61 |    a  -  z     |
| 62 +    | unicode 123 +  |

For bases higher than 61 it's recommended to use tuple representation.

Examples

# base(number, input_base, output_base)
>>> n = (15,15,".",0,8)
>>> base(n, 16, 10)
(2, 5, 5, '.', 0, 3, 1, 2, 5)
>>> base(n, 16, 10, string=True)
'255.03125'

>>> base("FF.08", 16, 10) == base((15,15,".",0,8), 16, 10)
True

# A callable BaseConverter object can also be created.
# This is useful for when several numbers need to be converted.

>>> b = BaseConverter(input_base=16, output_base=8)
>>> b("FF")
(3, 7, 7)
>>> b((15, 15))
(3, 7, 7)
>>> b("FF") == b((15,15))
True

>>> base(0.1, 3, 10, string=True)
'0.[3]'

Recurring digits

Recurring digits at the end of a fractional part will be enclosed by “[” and “]” in both string and tuple representation. This behavior can be turned off by setting the recurring argument of base or BaseConverter object to False.

>>> base("0.1", 3, 10, string=True)
'0.[3]'
>>> base("0.1", 3, 10, string=True, recurring=False)
'0.3333333333'

Max fractional depth

Integer parts are always of arbitrary size. Fractional depth (number of digits) can must be specified by setting the max_depth argument of base or a BaseConverter object (default 10).

>>> base("0.2", 10, 8)
(0, '.', 1, 4, 6, 3, 1, 4, 6, 3, 1, 4)
>>> base("0.2", 10, 8, max_depth=1)
(0, '.', 1)

Release history Release notifications

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