1. Number Systems

2. Number Systems
A Number System defines how a number can be represented using distinct symbols.
When we type some letters or words, the computers translates them in numbers as computers
can understand only numbers.
Number systems are the technique to represent numbers in the computer system architecture,
every value that you are saving or getting into/ from computer memory has a defined number
system.
Each number system is associated with a base or radix
The decimal number system is said to be of base or radix 10

3. Number Systems…
Number system can be categorized as
Binary number system
Decimal number system
Octal number system
Hexadecimal number system

4. Number Systems…
Binary System (Base 2)
The word binary is derived bini (two).
In this system the base= 2 and we use only two digits {0,1}.
Decimal System (Base 10)
The word decimal is derived from Latin decem (ten).
In this system the base= 10 and we use ten symbols {0,1,2,3,4,5,6,7,8,9}.

5. Number Systems…
Octal System (Base 8)
The word octal is derived from Latin octo (eight).
In this system the base= 8 and we use ten symbols {0,1,2,3,4,5,6,7}.
Hexadecimal System (Base 16)
The word hexadecimal is derived from Latin hex (six) and decem (ten).
In this system the base= 16 and we use sixteen symbols {0,1,2,3,4,5,6,7.8.9,A,B,C,D,E,F}.
The symbols A,B,C,D,E,F are equivalent to 10,11,12,13,14,15 respectively.

7. Binary to Decimal Conversion

10. Decimal to Binary Conversion