number_system_conversion.py

def to_base(number, base):
    res = []
    while True:
        k = number % base
        number = number // base
        res.append(k)
        if number == 0:
            break
    # res.reverse()
    return res

def from_base(number_repr, base):
    number = 0
    for i, n in enumerate(number_repr):
        number += n*base**i
    return number


base = 2

repr3 = to_base(124312, base)

print(repr3)
print(from_base(repr3, base))