Consider the representation of six-bit numbers in two’s complement, one’s complement and sign and magnitude format. In which representation, the addition of integers 011000& 011000 will result in an overflow. ?

Question

Consider the representation of six-bit numbers in two’s complement, one’s complement and sign and magnitude format. In which representation, the addition of integers 011000& 011000 will result in an overflow. ?

In Two’s complement only
In one’s complement and two’s complement
Sign and magnitude and one’s complement
In all three

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 4 : In all three

Addition of integers in One’s complement-

One’s complement of 011000 → 100111

Now, addition-

100111 + 100111 = 1001110

Therefore, in this 1001110 the digit 1-001110 is an overflow.

Addition of integers in Two’s complement-

Two’s complement of 011000 → 101000

Now, addition-

101000 + 101000 = 1010000

Therefore, in this 1010000 the digit 1-010000 is an overflow.

Addition of integers in sign and magnitude format

If start with 0 that means +ve.

If start with 1 that means –ve.

So, given numbers 011000 and 011000 both are positive

Now, addition

11000 + 11000 = 110000

Therefore, in this 110000 the digit 1-10000 is an overflow.

Consider the representation of six-bit numbers in two’s complement, one’s complement and sign and magnitude format. In which representation, the addition of integers 011000&amp; 011000 will result in an overflow. ?

1 Answers

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Consider the representation of six-bit numbers in two’s complement, one’s complement and sign and magnitude format. In which representation, the addition of integers 011000& 011000 will result in an overflow. ?