Question

The range of numbers that can be represented by 6-bit 1's complement number is

• A. -31 to 31
• B. -32 to 31
• C. -63 to 63
• D. -64 to 63

Answer 1

The correct option is A -31 to 31

The range of 1’s complement form is from (-2^(n-1)-1) to (2^(n-1)-1). i.e., Range of 6 bit 1’s complement form binary number is from -(2⁵-1) to (2⁵-1) which is minimum -31 (i.e., 100000) to maximum value +31 (i.e., 011111). And zero (0) has two representation, -0 (i.e., 1 11111) and +0 (i.e., 0 00000).