What is Number system

A special number system is used to denote any number. It is represented by the number or digits used in each Number System. Each number has a fixed base. Which is equal to the number of basic digits used in that number system. In any number, the positions of digits are counted from right to left. The value of each digit in a number depends on its value and the position value. The total value (value) of a number is the sum of the values ​​of each digit. Decimal number system is the oldest and most popular number system.

The total number of basic digits used to denote a number is called the basis of that number system. For example, all the numbers in the decimal number system are denoted by 10 basic numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9). So its base is 10. In Binary Number System 2 basic digits (0 and 1) are used. So its base is 2. The eight basic numbers (0, 1, 2, 3, 4, 5, 6, and 7) are used in the Octal number system, so the base is 8. The base of Hexadecimal Number System is 16 because in it all the numbers are represented by 16 basic digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D and E) .

Numerical value

Numerical value of any number depends on the position of that number. The number of digits in the number is calculated from right to left. The numeric value of the digit, which is located at the rightmost point of the unit, would be '0'. The numeric value of the tenth digit is '1', the numerical value of the hundredth digit is '2', whereas the numeric value of thousand digits is '3'.

Local Value (Position Value)

The local values ​​of any digit in any number depend on the number based on the number and its numerical value. The local value of a number is equal to the numeric value of the number based on the number.

Local values ​​= (base) numeric values

Position Value = (Base) Face Value

The value of a number is the sum of the numeric value of each digit and the product of the local value.

example : Number = 4206(10)

Total value of Number = 4000 + 200 +0 +6 = 4206(10)