Number System

Number System  

What is Number ?

The numbers are the predefined value symbol which has specific meaning the knowledge of number system is most important and initial because the design and Organisation of computer electronic component depend upon the number system.

Number system are basically classified into two ways 

1. Non Positionanumber systems 

2. Positional number systems (Digit 0 to 9)

Number System

The various number system discussed are

1. Decimal number system : It has a Based 10

 it utilise the symbols of the numbers from 0 to 9

2. Binary number : system it has a Based 2 

it utilise the two symbols  0 and 1

3. Octal number system : it has a base 8 

it utilise symbol of the numbers from 0 to 7

4. Hexadecimal number system it has a base 16 

it utilise the symbols 0 to 9 and A to F 

A=10,B=11,C=12,D=13,E=14,F=15

Note : Decimal number system

There is a very simple rule that if you multiply any number by its base, you will always get a decimal.

1. Decimal Number System:

🔹 Definition:
The decimal number system is a base-10 system, meaning it uses 10 digits —
0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

🔹 How it works:
Each position (or place) in a decimal number represents a power of 10.

e.g.

2. BinaryNumber System:

🔹 Definition:

The binary number system is a base-2 system, meaning it uses only two digits:
👉 0 and 1

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🔹 How it works:

Each position (or place) in a binary number represents a power of 2, just like the decimal system uses powers of 10.

Decimal to Binary 

e.g. 1

e.g. 2

Binary to Decimal

e.g.

e.g

11001(2)

3. Octal to Decimal 

283₍₈₎  

4. HexaDeciaml to Decimal

27B₍₆₎