# A Comprehensive Guide to Understanding 2's Complement of 11001011

## What is 2's Complement?

2's complement is a mathematical operation used in computer science to represent negative numbers in binary format. It is a representation of a binary number (a number with only two possible values) in which the most significant bit (MSB) of the number is considered to be the sign bit. This means that if the MSB is 0, the number is considered to be positive, and if the MSB is 1, the number is considered to be negative. The 2's complement of a number is obtained by inverting all the bits of the number and adding 1 to the result.

## Why is 2's Complement Used?

2's complement is used in computer science because it allows for the representation of negative numbers in binary form. This is important because computers use binary numbers to perform arithmetic operations. By allowing for the representation of negative numbers in binary form, it makes it easier for computers to perform arithmetic operations involving negative numbers.

## How to Find the 2's Complement of 11001011

The 2's complement of 11001011 is 00110101. To find the 2's complement of 11001011, we first need to invert all the bits of the number. This means that we need to replace each 1 with a 0 and each 0 with a 1. So 11001011 becomes 00110100. Then, we need to add 1 to the result. This gives us 00110101, which is the 2's complement of 11001011.

## Conclusion

In conclusion, 2's complement is an important mathematical operation used in computer science to represent negative numbers in binary form. To find the 2's complement of 11001011, we need to first invert all the bits of the number, and then add 1 to the result. This gives us 00110101, which is the 2's complement of 11001011.

Dated : 02-Feb-2023

Category : Education

Tags : Computer Science