change-base 0.0.1

Allows the conversion of a value with any base to the corresponding value in any other base-system

Arbitrary Base to Arbitrary Base Converter

Allows the conversion of a value in a given base(a) to the corresponding value in some other base(b). The symbols used in both the base-systems can be provided by the user.

Usage:

change_base.change_base(value, initial_base, final_base, initial_base_symbols, final_base_symbols)

Description:

A value from a given set with base = a is converted to the equivalent value in some other base = b. For example, decimal values (Base10) can be transformed into Hex (Base16) or Octal (Base8) values.

Transformation is achieved by first converting to decimal equivalent and then to the final base version through the following 2 functions:

1. base_to_decimal(val, base = 73, symbols = None)
2. decimal_to_base(d, base, symbols = None)

In the base_to_decimal function, val is the original value (inputted as a string) with base = base. symbols is a list to pass custom symbols for the system.

In the decimal_to_base function, d represents the original decimal value and symbols list stores the symbols used for this system with base = base

The symbols used to represent the system can be provided as custom input e.g. a value $$&$## may belong to a system with base = 3 and symbols #, &, $. This value can be converted to a decimal equivalent by calling:

base_to_decimal("$$&$##", 3, ['#', '&', '$'])

In case the symbol list is not provided, the default ordered symbol list is used up to maximum of (Base73). The 73 symbols used are (in this order): Digits (0-9), Lowercase-Letters (a-z), Uppercase-letters (A-Z), Safe-symbols [ $, -, _, ., +, !, *, ', (, ), , ]

Thus, each of these symbols have a decimal equivalent = list index from 0 to 73 that is used for base conversion.

The two functions are combined in the definition of function base_change. Thus, to change some value 'val' with base 'ibase' and symbol set (in order) 'isymbols' (optional argument) into the equivalent value in some base 'fbase' and symbol set 'fsymbols' (optional argument), call the function:

• base_change(val, ibase, fbase, isymbols, fsymbols)

Example Usages:

• Converting from Decimal to Binary: base_change('123',10,2) -> '1111011' #Output
• Converting from Binary to Decimal: base_change('1111011',2,10) -> '123' #Output
• Converting from Decimal to Hex: base_change('123',10,16) -> '7b'
• Converting from Base5 (with default symbols [0,1,2,3,4]) to Base5 (custom symbols ['t','w','i','s','t']): base_change('123',5,5,None,['t','w','i','s','t']) -> 'wis'
• Converting from Base5 (with custom symbols ['t','w','i','s','t']) to Base10 (default symbols): base_change('witsittitsisits',5,10,['t','w','i','s','t'],None) -> '9697104823'
• Inverse of the last example: base_change('9697104823',10,5,None,['t','w','i','s','t']) -> 'witsittitsisits'

Note:

• The position of symbol in custom symbol list decides its decimal equivalent
• Default symbol list consists of only 73 symbols. Thus maximum base conversion with default symbols is upto Base73
• Since the apostrophe ' sign is also usable as a default symbol, the input value strings should be enclosed with double quotes
• All outputs are generated as strings