Question

Determine the 2’s complement equivalent of the following numbers in 8-bit format (N.B: You must show your work for full credit)!  

1. -12 =

2. -9 =

Answer 1

-12 is 10001100 in binary 8 bit form

First bit is used for sign since it is negative it is one.

1's complement can be found by inverting binary form

-12 1's complement is 01110011

To get 2's complement 1 should be added in least significant digit.

-12 2's complement is 01110100.

-9 is 10001001 in binary 8 bit form

First bit is used for sign since it is negative it is one.

1's complement can be found by inverting binary form

-9 1's complement is 01110110

To get 2's complement 1 should be added in least significant digit.

-12 2's complement is 01110111.