Digital Circuits & Design, 1st Education by Pearson

Number System | 2.31

ExamplE 2.27 Find 2’s complement of 100100.0101.

Solution

Binary number, N =

1 0 0 1 0 0 . 0 1 0 1

↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓

Two’s complement of binary number, N =

0 1 1 0 1 1 . 1 0 1 1 Ans.

Advantage of 2’s complement method is that there is unique zero. The 2’s complement

of zero is zero.

Let binary number, N =

0 0 0 0 0 0 0 0

↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓

One’s complement of binary number, N =

1 1 1 1 1 1 1 1

Let binary number, N =

0 0 0 0 0 0 0 0

Two’s complement of binary number, N =

0 0 0 0 0 0 0 0

2.5 | BINARY SUBTRACTION USING COMPLEMENT

Complements are used to perform subtraction and to represent signed numbers. Subtrac-

tion using complement needs ...