What is Number System | premium Definition of Number Systems.

 

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity. These numbers are used as digits and the most common ones are 0 and 1, that are used to represent binary numbers. Digits from 0 to 9 are used to represent other types of number systems.

What are Number Systems?

A number system is a system representing numbers. It is also called the system of numeration and it defines a set of values to represent a quantity. These numbers are used as digits and the most common ones are 0 and 1, that are used to represent binary numbers. Digits from 0 to 9 are used to represent other types of number systems.

Definition of Number Systems

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner. The value of any digit in a number can be determined by a digit, its position in the number, and the base of the number system. The numbers are represented in a unique manner and allow us to operate arithmetic operations like addition, subtraction, and division.

Types of Number Systems

Initially the number systems can be divided into two parts – one is Non –positional Number System ,and another is Positional Number System.

Non –positional Numbers are not specifically used .

What is Positional Number System?

The number system in which the value of the number changes as the position of the number changes is called the Positional Number System.

There are different types of number systems in which the four main types are:

·         Binary number system (Base - 2)

·         Octal number system (Base - 8)

·         Decimal number system (Base - 10)

·         Hexadecimal number system (Base - 16)