Binary , Decimal and Hexadecimal numbers

Binary is a number system that uses only two digits, 0 and 1. It is the base-2 number system, meaning that each place value is a power of two. Binary is used in computers because it is easy to represent electronically.

Decimal is the number system that we use most commonly in everyday life. It is the base-10 number system, meaning that each place value is a power of ten. Decimal numbers are written using the digits 0 through 9.

Hexadecimal is a number system that uses sixteen digits, 0 through 9 and A through F. It is the base-16 number system, meaning that each place value is a power of sixteen. Hexadecimal is often used in computer programming because it is a convenient way to represent large binary numbers.

Here is a table showing the first ten numbers in each number system:

Number Binary Decimal Hexadecimal

0 0 0 0

1 1 1 1

2 10 2 2

3 11 3 3

4 100 4 4

5 101 5 5

6 110 6 6

7 111 7 7

8 1000 8 8

9 1001 9 9

10 1010 10 A

The hexadecimal number for 255 is FF, which is the same as 11111111 in binary.

Binary, decimal, and hexadecimal are all important number systems used in a variety of applications. Binary is used in computers, decimal is used in everyday life, and hexadecimal is used in computer programming.