Morris Mano Edition 3 Exercise 1 Question 15 (Page No. 33)

Question

Find 1’s and 2’s complement of the following 8 digit binary numbers

1. 10101110
2. 10000001
3. 10000000
4. 00000001
5. 00000000

Answer 1

How to calculate 1's complement for a binary number?
The 1's complement can be easily calculated by inverting the 0s & 1s of a given binary number.

How to calculate 2's complement for a binary number?
1. Find the one's complement by inverting 0s & 1s of a given binary number.
2. Add 1 to the one's complement provides the two's complement.

 

1.

                              10101110

1's complement. 01010001

2's complement  01010010

 

2.

                              10000001

1's complement  01111110

2's complement 01111111

3.                           10000000

1's complement.  01111111

2's complement . 10000000

4.                            00000001

1's complement. 11111110

2'scomplement . 11111111

5.                            00000000

1's complement . 11111111

2's complement.  00000000