Which of the following representations in two's complement notation represents the largest value?

a) 00000010

b) 11111111

c) 00000001

d) 11111110

C

Explanation:

B and D are negative values as they both start with 1, so naturally A and C are the larger values, assuming larger = more positive.

To get the values of A and C which are positive, simply inverse the bits till the last 1 digit. For A, that's 1111 1110 and for C that's 1111 1111. Hence, the magnitude of C is 1 * (2^0) larger than A.