float.py

#!/usr/bin/env python

f = 0.3
e = 1
d = []
BITS = 32

#decompose

for i in range(BITS):
  if f >= e:
    d.append(1)
    f -= e
  else:
    d.append(0)
  e /= 2

print(''.join(map(str, d)))

#compose

e = 1
v = 0
for i in range(BITS):
  if d[i]:
    v += e
  e /= 2
print(v)