Question

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subtract 54-32 by using 1's and 2's complends methods​

Answer 1

Answer:

The operation is carried out by means of the following steps:

(i) At first, 2’s complement of the subtrahend is found.

(ii) Then it is added to the minuend.

(iii) If the final carry over of the sum is 1, it is dropped and the result is positive.

(iv) If there is no carry over, the two’s complement of the sum will be the result and it is negative.

The following examples on subtraction by 2’s complement will make the procedure clear:

Evaluate:

(i) 110110 - 10110

Solution:

The numbers of bits in the subtrahend is 5 while that of minuend is 6. We make the number of bits in the subtrahend equal to that of minuend by taking a `0’ in the sixth place of the subtrahend.

Now, 2’s complement of 010110 is (101101 + 1) i.e.101010. Adding this with the minuend.

1 1 0 1 1 0 Minuend

1 0 1 0 1 0 2’s complement of subtrahend

Carry over 1 1 0 0 0 0 0 Result of addition

After dropping the carry over we get the result of subtraction to be 100000.