Created
October 22, 2021 08:19
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This program converts decimal numbers to 32-bit floating number. Like for input -8.125 it wil give you 1 10000010 00000100000000000000000
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num = input("Enter the decimal number: ").split('.') | |
isNegative = '0 ' | |
if num[0][0]=='-': | |
isNegative = '1 ' | |
num[0] = num[0][1:] | |
res = '' | |
def toBinary(n): | |
s = '' | |
while n > 0: | |
s = str(n % 2) + s | |
n =int(n / 2) | |
if len(s) == 0: | |
s = '0' | |
return s | |
decimalDigits = num[0] | |
fraction = num[1] | |
binDcimal = '' | |
binDcimal += toBinary(int(decimalDigits)) | |
binDcimal += '.' | |
fraction = float('0.' + str(fraction)) | |
for i in range(46): | |
fraction *= 2 | |
binDcimal += str(int(fraction) % 10) | |
fraction = float('0.' + str(fraction).split('.')[1]) | |
binDecSplited = binDcimal.split('.') | |
if len(binDecSplited[0])==1: | |
if binDecSplited[0] == '1': | |
res = isNegative +'01111111 ' + binDecSplited[1][:23] | |
else: | |
power = 0 | |
count = 23 | |
while count > 0 and binDecSplited[1][0] != '1': | |
count -= 1 | |
power -= 1 | |
binDecSplited[1] = binDecSplited[1][1:] | |
res = isNegative + "{0:08b} ".format(127 + power - 1) + binDecSplited[1][1:24] | |
else : | |
power = len(binDecSplited[0][1:]) | |
count = 23 | |
res = isNegative + "{0:08b} ".format(127 + power) + (binDecSplited[0][1:] + binDecSplited[1])[:23] | |
print(res) | |
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