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def single_prec(v):
s=int(v[0]);
e='';
f=[];
x=1;
for i in range(1,len(v)):
if i>0 and i<9:
e+=v[i];
else:
f.append(v[i])
for i in range(0,len(f)):
y = int(f[i]);
xx = (-1)*(i+1)
x+=y*2**xx;
ee = int(e,2);
return ( (-1)**s * 2**(ee-127) *x)
def double_prec(v):
s=int(v[0]);
e='';
f=[];
x=1;
for i in range(1,len(v)):
if i>0 and i<12:
e+=v[i];
else:
f.append(v[i])
for i in range(0,len(f)):
y = int(f[i]);
xx = (-1)*(i+1)
x+=y*2**xx;
ee = int(e,2);
return ( (-1)**s * 2**(ee-1023) *x)
# v = '0011111000100000000000000000000'
# s = 0
# e = int('01111100', 2)
# x = 1 + 0*2**(-1) + 1*2**(-2)
# print( (-1)**s * 2**(e-127) * x )
print(double_prec('010000000111001000010000000000000000000000000000000000000'))
print(single_prec('00000000110000000000000'))