GATE Overflow | Digital Logic | Test 1 | Question: 28

Question

Zero has only one representation in

• A. Sign magnitude
• B. 1's complement
• C. 2's complement
• D. Both 1's complement and 2's complement

Answer 1

Representation of ZERO (in 8 bit)  :

In signed magnitude :  10000000 and 0000000 which are -0 and +0 respectively.
1's complement : 11111111 and 00000000 which are -0 and +0 respectively.
2's complement : 00000000

Note : Representation of ZERO is the reason why range of 2's complement is one more than range signed and 1's complement.

Answer 2

c)  2's complement