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Number System with aditya.

 




  Number System

•       Decimal Number System

•       Binary Number System

•       Octal Number System

•       HexaDecimal Number System

Decimal Number System

•       The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9.

•       In decimal number system, the successive positions to the left of the decimal point represents units, tens, hundreds, thousands and so on.

Decimal Number System

•       Each position represents a specific power of the base (10).

•       For example, the decimal number 1234 consists of the digit 4 in the unit's position, 3 in the tens position, 2 in the hundreds position, and 1 in the thousands position, and its value can be written as

=((4 × 1) + (3 × 10) + (2 × 100) + (1 × 1000)) =1234

Binary Number System

•       Uses two digits, 0 and 1.

•       Also called base 2 number system

•       Each   position    in a  binary   number represents a 0 power of the base (2).

•       Example: 20

•       Last position in a binary number represents an x power of the base (2).

•       Example: 2x where x represents the last position - 1.


Octal 

Number System

•       Uses eight digits, 0,1,2,3,4,5,6,7.

•       Also called base 8 number system

•       Each position in an octal number represents a 0 power of the base (8). Example: 80

•       Last    position    in an    octal   number represents an x power of the base (8).

•       Example: 8x where x represents the last position - 1.

6

Hexadecimal 

Number System

•        Uses            10        digits   and     6          letters,

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

•        Letters represents numbers starting from 10. A = 10, B = 11, C = 12, D = 13, E = 14, F = 15.

•        Also called base 16 number system.

•        Each position in a hexadecimal number represents a 0 power of the base (16). Example

160.

•        Last position in a hexadecimal number represents an x power of the base (16). Example 16x where x represents the last position - 1.


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