The number systems are basically categorized into two types:

1) Non Positional Number systems

2) Positional Number systems

Non Positional Number System: In early ages, fingers were used for counting; when ten fingers were not enough then stones, sticks or pebbles were used. This approach uses additive techniques, symbols such as I for 1, II for 2, III for 3, IIII for 4, IIIII for 5 etc. Each symbol represented the same value regardless of its position in the number and the symbols were added to find out the value of the number. This system was inadequate and was very difficult to perform even simple arithmetic thus the Positional Number System was designed as time passes.

Positional Number System: In the Positional Number system there are few symbols called digits and the digits represent different values depending on their position in the number. The value of each digit is determined by three conditions.

• The digit itself.

• Position of the digit in the number.

• The base of the number system where the base means the total number of digits in the number system.

For example, We use Decimal number system in our day to day life and the base of Decimal number is system is 10 as there are 10 digits (0,1,2,3,4,5,6,7,8,9).

The other Positional Number Systems are:

1) Binary Number System

2) Octal Number System

3) Hexa-Decimal Number System

1) Non Positional Number systems

2) Positional Number systems

Non Positional Number System: In early ages, fingers were used for counting; when ten fingers were not enough then stones, sticks or pebbles were used. This approach uses additive techniques, symbols such as I for 1, II for 2, III for 3, IIII for 4, IIIII for 5 etc. Each symbol represented the same value regardless of its position in the number and the symbols were added to find out the value of the number. This system was inadequate and was very difficult to perform even simple arithmetic thus the Positional Number System was designed as time passes.

Positional Number System: In the Positional Number system there are few symbols called digits and the digits represent different values depending on their position in the number. The value of each digit is determined by three conditions.

• The digit itself.

• Position of the digit in the number.

• The base of the number system where the base means the total number of digits in the number system.

For example, We use Decimal number system in our day to day life and the base of Decimal number is system is 10 as there are 10 digits (0,1,2,3,4,5,6,7,8,9).

The other Positional Number Systems are:

1) Binary Number System

2) Octal Number System

3) Hexa-Decimal Number System