Number system

                                     Number system

As we know that computer understand only two digits that’s is 0 and 1 . hence its name is digital computer .every computer  store number ,letters and other special characters , numbers and letters are convert into binary numbers that’s  why computer understand it .

“The system in which, numbers (digits) arrange in a systematic way ,by which we can decide the value or quantity is known as number system .

Number system is basically of two types.

1:-Non positional number system

2:-positional number system

1:-Non positional number system :-

In early days , human being counted on fingers . When ten fingers are not adequate, stones, sticks ,etc were used to indicate values. This method counting uses an additive approach or non positional number system.

e.g  1 for i , II for 2 , III for 3 , IIII for 5, IIIII for 5.

2   positional number system : -

 In a positional number system ,there  are only a few symbols called digits and these  symbols represent different values depending on its position they occupy in the number the value of each digits in such a number is determined by there consideration .

1-the digit it self

2-The position of the digit in the number.

3- The base of the number system.

Types of positional number system:

1-Decimal number system

2-Binary number system

3-Octal number system

4-Hexadecimal number system .

1          ---decimal number system :-

Most popular number system which we use in our daily life. This is the number system ,which is made up of ten digits (symbols) . Hence its base is 10. The numbers are 0, 1,2,3,4,5,6,7,8 and 9

 2---      binary number system :-

 It is made up of two digits that are 0 and 1. This number system is exactly like decimal number system except that the base in 2 instead of 10

3—octal number system –

 This is the number system, which is made up of 8 digits (symbols).

 That is 0,1,2,3,4,5,6,7 . Hence its base is 8.

e.g. (3735)₈.(43240)₈etc.

4—hexadecimal number system –

This is the number system, which is made up of 16 digits (symbols) .That is 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. hence its base is 16. E.G (A95B1)₁₆ , (9F2B1)₁₆  etc.

Its conversion is just like above conversion.