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def ieee_str_float_ieee754(N: str):  # ieee-745 bits (max 32 bit)
    a = int(N[0])        # sign,     1 bit
    b = int(N[1:9], 2)    # exponent, 8 bits
    c = int("1"+N[9:], 2)  # fraction, len(N)-9 bits
    return (-1)**a * c / (1 << (len(N)-9 - (b-127)))


def ieee_float_str_iee754(num):
    def decimal_to_binary(convert):
        binary_integer = []
        while(convert/2 >= 1):
            i = int(convert % 2)
            binary_integer.append(i)
            convert /= 2
        if(len(binary_integer) > 1):
            binary_integer.reverse()
        binary_integer.insert(0, 1)
        return binary_integer

    def list_to_string(list):
        list_string = ''.join([str(elem) for elem in list])
        return list_string

    def float_to_binary(decimal, place):
        binary_float, count = [], 1
        l = len(decimal)
        product = int(decimal)
        while(count <= place):
            product = product*(10**-l)
            product *= 2
            decimal_int, dec_rem = str(product).split('.')
            l = len(dec_rem)
            decimal_int = int(decimal_int)
            dec_rem = int(dec_rem)
            binary_float.append(decimal_int)
            if (product == 1.0):
                while(len(binary_float) <= place):
                    binary_float.append(0)
                break
            else:
                product = dec_rem
            count += 1
        return binary_float
    if num < 1.0 and num > 0.0:
        c = 0
        while(num < 1.0):
            num *= 2
            c += 1
        integer, decimal = str(num).split('.')
        integer = int(integer)
        binary_integer_part = decimal_to_binary(integer)
        exponent = 127 - c
        binary_exponent = decimal_to_binary(exponent)
        binary_integer_part.pop(0)
        if(len((binary_exponent)) <= 8):
            binary_exponent.insert(0, 0)
        binary_exponent.insert(0, 0)
        place = 23-len(binary_integer_part)
        binary_float_part = float_to_binary(decimal, place)
    elif num > -1.0 and num < 0.0:
        c = 0
        while(num > -1.0):
            num *= 2
            c += 1
        integer, decimal = str(num).split('.')
        integer = int(integer)
        binary_integer_part = decimal_to_binary(integer)
        exponent = 127 - c
        binary_exponent = decimal_to_binary(exponent)
        binary_integer_part.pop(0)
        if(len((binary_exponent)) <= 8):
            binary_exponent.insert(0, 0)
        binary_exponent.insert(0, 1)
        place = 23-len(binary_integer_part)
        binary_float_part = float_to_binary(decimal, place)
    else:
        integer, decimal = str(num).split('.')
        string = list(integer)
        sign_check = string.copy()
        if string[0][0] == '-':
            string[0] = string[0][1:]
        integer = list_to_string(string)
        integer = int(integer)

        binary_integer_part = decimal_to_binary(integer)
        exponent = 127 + len((binary_integer_part))-1
        binary_exponent = decimal_to_binary(exponent)
        binary_integer_part.pop(0)
        if (len((binary_exponent)) == 7):
            binary_exponent.insert(0, 0)
        if sign_check[0][0] == '-':
            binary_exponent.insert(0, 1)
        else:
            binary_exponent.insert(0, 0)
        place = 23-len(binary_integer_part)
        binary_float_part = float_to_binary(decimal, place)

    binary_exponent = list_to_string(binary_exponent)
    binary_integer_part = list_to_string(binary_integer_part)
    binary_float_part = list_to_string(binary_float_part)

    res1 = "".join((binary_exponent, binary_integer_part))
    res_final = "".join((res1, binary_float_part))
    if len(res_final) > 32:
        ll = list(res_final)
        l = len(res_final) - 32
        for _ in range(l):
            ll.pop()
        res_final = "".join(ll)
    return res_final