Number System And Types Of Number System

Number System

Definition:

The number system defined as:

             "Number System is an organized and systematic way to representation of number."

Explanation:

The number system is used in computer architecture. The data which we enter in the computer  to show on monitor screen or to take print from the computer can be saved in computer memory in the form of the number system.

                            Type Of Number System

There are  main four types of number systems.
1. Binary number system
2. Octal number system
3. Decimal number system
4. Hexadecimal number system



1.Binary Number System:

The binary number system:

Digit:
Include two digit numbers which is 0 and 1 (0,1)
Base-2 System:
It is also called base-2 system because only two digits exist.

Integer Value Base Power:
Its base power value started zero from right side to the left side of the digit and it is written as 2⁰.

Fraction Value Base Power:
In fraction value its base power started negative -1 from left side to right side written as 2ᐨ¹.


2.Octal Number System:

The octal number system:

Digit:
Include eight digit numbers which start from 0 to  end 8.

Bit Represent In Binary:
They each digit of octal represent 3 bits in binary numbers

Base-8 System:
It is also called base-8 system because  8 digits exist.

Integer Value Base Power:
Its base power value started zero from right side to the left side of the digit and it is written as 8⁰.

Fraction Value Base Power:
In fraction value its base power started negative -1 from left side to right side written as 8ᐨ¹.

3.Decimal Number System:

The Decimal number system:

Digit:
Include ten digit numbers which start from 0 to  end 9.

Base- System:
It is also called base-8 system because  8 digits exist.

Integer Value Base Power:
Its base power value started zero from right side to the left side of the digit and it is written as 10⁰.

Fraction Value Base Power:
In fraction value its base power started negative -1 from left side to right side written as 10ᐨ¹.

4.Hexadecimal Number System:

The Hexadecimal number system:

Digit:
Include 10 digit numbers (0 to 9) and 6 alphabetic letters (A to F).

Bit Represent In Binary:
They each digit of hexa represent 4 bits in binary numbers

Base-16 System:
It is also called base-16 system because  16 digits exist.

Integer Value Base Power:
Its base power value started zero from right side to the left side of the digit and it is written as 16⁰.

Fraction Value Base Power:
In fraction value its base power started negative -1 from left side to right side written as 16ᐨ¹.