# Number system

By Notes Vandar

## About Number system

A number system is a system for representing numbers and performing arithmetic calculations. There are many different number systems, including the decimal system, the binary system, and the hexadecimal system. The decimal system, also known as the base-10 system, is the most widely used number system and is based on the ten digits 0 through 9. It is used to represent and perform arithmetic calculations on whole numbers and fractions. The binary system, also known as the base-2 system, is used to represent and perform arithmetic calculations on whole numbers. It is based on only two digits, 0 and 1, and is used extensively in computer science and electrical engineering.

The hexadecimal system, also known as the base-16 system, is used to represent and perform arithmetic calculations on whole numbers and fractions. It is based on 16 digits, 0 through 9 and A through F, and is commonly used in computer programming. Understanding different number systems and how to perform arithmetic calculations in them is an important foundation for many areas of study, including computer science, engineering, and mathematics.

**Number system**

The number system is an organized and systematic way of representing numbers.

**Decimal number system**

The number system which is formed from 0 to 9 is called the decimal number system.

**Binary number system**

The number system which is formed by 0 and 1 is called the binary number system.

**octal number system**

The number system which is formed by eight different Digits (0-7) is known as the octal number system.

**Radix of a number system**

The base or radix of a number system defines the range of possible values the digit may have.

**Hexadecimal number system**

The number and character set of the hexadecimal number system are as follows:

Numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Characters: A, B, C, D, E, F