A self-written function which can transform int value to float value and vice versa

to_float.py

def to_float(value_as_int: int) -> float:
    binary = bin(value_as_int)
    binary = binary[2:].zfill(32)

    sign = -1 if binary[0] == '1' else 1
    exponent = int(binary[1:9], 2) - 127
    mantissa_base = binary[9:]
    mantissa_bin = '1' + mantissa_base
    mantissa = 0
    val = 1

    if exponent == -127:
        if mantissa_base[1] == -1:
            return 0
        else:
            exponent = -126
            mantissa_bin = '0' + mantissa_base

    for char in mantissa_bin:
        mantissa += val * int(char)
        val = val / 2

    result = sign * 2 ** exponent * mantissa
    return result

to_int.py

def to_int(value_as_float: float) -> int:
    exponent = 0
    sign = 1

    if value_as_float == 0:
        return 0

    if value_as_float < 0:
        sign = -1
        value_as_float = -value_as_float

    if value_as_float >= 2 ** -1022:
        value = value_as_float

        while value < 1:
            exponent -= 1
            value *= 2
        while value >= 2:
            exponent += 1
            value /= 2

    mantissa = value_as_float / 2 ** exponent

    exponent += 127

    as_integer_bin = '0'
    if sign == -1:
        as_integer_bin = '1'

    as_integer_bin += bin(exponent)[2:].zfill(8)

    mantissa_bin = ''
    for x in range(24):
        bit = '0'
        if mantissa >= 1/2**x:
            mantissa -= 1/2**x
            bit = '1'
        mantissa_bin += bit

    mantissa_bin = mantissa_bin[1:]

    as_integer_bin += mantissa_bin
    as_integer = int(as_integer_bin, 2)
    return as_integer

I think i should rewrite this code and replace string concatenation with binary operations