Question

Solve the subtraction with the following unsigned binary numbers by taking the 2's complement of the subtrahend:
i.100 – 110000 ii. 11010 - 1101.

Answer 1

it's (ii)

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Answer 2

Answer:

i) 100 - 110000

Here A = 000100, B = 110000

First find 2's complement of B = 110000

2's complement = 1's complement + 1

1's complement of 110000 is 001111

Now add 1 : 001111 + 1 = 010000

Add 2's complement of B and A

000100 + 010000 = 010100

Since there is no carry generated, again find the 2's complement of 010100

1's complement of 010100 is 101011

Now add 1 : 101011 + 1 = 101100

So, the answer is -101100

ii) 11010 - 1101

Here A = 11010, B = 01101

First find 2's complement of B = 01101

2's complement = 1's complement + 1

1's complement of 01101 is 10010

Now add 1 : 10010 + 1 = 10011

Add 2's complement of B and A

11010 + 10011 = 101101

Since carry is generated. Ignore the leftmost bit.

So, the answer is 01101