subtract the binary numbers normally and with 2s complement

subtract the binary numbers normally and with 2s complement
100011-1100

Solution

Here, the number 100011 represents 35

and 1100 represents 12

Since we have 6 bit number, so 1100 can be written as 001100

So, to perform the subtraction using the 2\'s compliment

Step I

First, we take the compliment of 001100, which will be 110011

Now, add 1 to the rightmost digit to get

110100

Step II

Now,we add 110100 and 100011,to get

010111 which represents 23.

Now,

we do the normal subtraction

We need to subtract 1100 from 100011

i.e. 100011-1100=010111