Signed 2’s complement representation is preferred over signed 1’s complementrepresentation? Why?

The 2's complement representation is preferred over the 1's complement representation for signed numbers for several reasons:

1. No Redundancy: In 1's complement, there are two representations of zero (+0 and -0), which can lead to redundancy and confusion. In 2's complement, there is only one representation of zero, eliminating this issue.

2. Simpler Arithmetic Operations: Addition and subtraction are simpler in 2's complement as compared to 1's complement. In 2's complement, you can use the same addition and subtraction rules for both positive and negative numbers, which is not the case with 1's complement.

3. Efficient Use of Binary Range: 2's complement makes more efficient use of the binary number range. For example, an 8-bit binary number in 2's complement can represent values from -128 to +127, while in 1's complement, it can only represent -127 to +127.

4. Overflow Detection: It's easier to detect overflow in 2's complement than in 1's complement.

For these reasons, 2's complement is generally the preferred method for representing signed binary numbers in computer systems.