Chapter 7 : Logic circuits

Pg: 312 Ex: 7.1

N=343#      #decimal integer
N2=bin(N)[2:]#      #binary equivalent of N
print 'Binary equivalent of 343 is',N2

Binary equivalent of 343 is 101010111

Pg: 313 Ex: 7.2

from math import floor
N=0.392#      #decimal
def float_to_binary(num):
        exponent=0
        shifted_num=num
        while shifted_num != int(shifted_num):        
            shifted_num*=2
            exponent+=1
        if exponent==0:
            return '{0:0b}'.format(int(shifted_num))
        binary='{0:0{1}b}'.format(int(shifted_num),exponent+1)
        integer_part=binary[:-exponent]
        fractional_part=binary[-exponent:].rstrip('0')
        return '{0}.{1}'.format(integer_part,fractional_part)    
DP =float_to_binary(N)[0:9]    
print 'Binary form of 0.392 is',DP

Binary form of 0.392 is 0.0110010

Pg: 316 Ex: 7.3

n=343.392#
n1=n%1 # decimal float part
n2=int(n-n1) # decimal integer part
b1=bin(n2)[2:] # binary integer part
def float_to_binary(num):
        exponent=0
        shifted_num=num
        while shifted_num != int(shifted_num):        
            shifted_num*=2
            exponent+=1
        if exponent==0:
            return '{0:0b}'.format(int(shifted_num))
        binary='{0:0{1}b}'.format(int(shifted_num),exponent+1)
        integer_part=binary[:-exponent]
        fractional_part=binary[-exponent:].rstrip('0')
        return '{0}.{1}'.format(integer_part,fractional_part)    
b2 =float_to_binary(n2)[0:9]    # binary float part
#combining these two
b=str(b1)+'.'+str(b2)
print 'binary form of 343.392 : ',b

binary form of 343.392 :  101010111.101010111