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# Number System :-

The number system is defined as the way for representing the values in digital world ,there are mainly 4 types of  number system which is mostly used in various computer and digital studies.

# Types of number System :-

1. Decimal Number System
2. Binary Number System
3. Octal Number System

1) Decimal Number System :-

The decimal number system is use in our daily life in mathematical calculations and in almost every calculation criteria, it consist of the number starting from 0 to 9.

Its base or radix is 10 because it contain 10 numbers they are

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

For example the number 654321 then

6 is on lack (105) place, 5 is on ten thousandth(104) place, 4 is on thousandth(103) place, 3 is on hundredth (102) place, 2 is on tens (101) place and 1 is on zero (100) place.

Note that 100 = 1, 101 = 10 , 102 = 100 , 103 = 1000 , 104 = 10,000 , 105 = 1,00,000

2) Binary Number System :-

The binary number system is usually use in computer’s machine language, it is also called machine friendly language, In this number system only two numbers 0 & 1 are used for calculating any other binary number.

Its base or radix is 2 because it contain only 2 numbers which are

0 , 1

For example the number 101010 have values 20 = 1, 21 = 2 , 22 = 4 , 23 = 8 , 24 =16 , 25 = 32

3) Octal Number System :-

The octal number system consist of the number starting from 0 to 7

Its base or radix is 8 because it contain8 numbers which are

0 , 1 , 2 , 3 , 4 , 5 , 6 , 7

For example the number 76345 have values 80 = 1, 81 = 8 , 82 = 64 , 83 = 512 , 84 =4,094

The word hexadecimal is made with the combination of two words “hexa” means 6 and “Decimal” means 10 which means the number system which contain 16 digits, it is so compact number system .

Its base or radix is 16 because it contain 10 numbers and 6 alphabets which are

0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , A , B , C , D , E , F

In which A , B  , C , D , E , F  has values 10 , 11 , 12 , 13 , 14 , 15

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