Number Systems and Radix Conversion (converting numbers to a given number base)

convert_number.py

# python >= 3.8
assert (sys.version_info.major == 3 and
        sys.version_info.minor >= 8)

from math import log

def convert(num:int, base=3) -> list:
    '''Return a list of "digits" representing num in the given base,
    ordered from lower to higher positions'''
    width, num = int(1 + log(num, base)), (num,)
    return [(num := divmod(num[0], base))[1] for _ in range(width)]
  

number_to_string.py

from math import log
import string

DIGIT_CODES = string.digits + string.ascii_uppercase
SUB_DIGITS = '₀₁₂₃₄₅₆₇₈₉'   # '\N{subscript zero}\N{subscript one} ... '


def number_to_string(num:int, base=3) -> str:
    '''Return a string representation of num in a base positional numeral system
    >>> number_to_string(24)
    '220₍₃₎'
    >>> number_to_string(255, 16)
    'FF₍₁₆₎'
    >>> number_to_string(36**2 - 1, 36)
    'ZZ₍₃₆₎'
    '''
    assert num > 0 and 2 <= base <= 36    # 10 digits + 26 latin letters 
    width, num = int(1 + log(num, base)), (num,)
    digits = [(num := divmod(num[0], base))[1] for _ in range(width)]
    digits = ''.join(DIGIT_CODES[i] for i in digits[::-1])
    base_mark = ('\N{subscript left parenthesis}' + 
                 ''.join(SUB_DIGITS[int(i)] for i in str(base)) +
                 '\N{subscript right parenthesis}')
    return digits + base_mark