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

## 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)

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