Number System (Binary,octal,Decimal,Hexadecimal) to convertions.

1. C H A P T E R N O : - 1
1.Binary Number System
2. Octal Number System
3. Decimal number System
4. Hexadecimal number system

2. NUMBER : -• A number is a symbol which is used to express a quantity or amount
NUMBER SYSTEM : -• Number system is an organized and systematic way of representing
numbers.
There are four types of number system : -
1. Binary Number System
2. Octal Number System
3. Decimal number System
4. Hexadecimal number system
BASE : -
It is the number of symbols which is available to a number system.
Or,
The number of symbols which is used to express the amount or quantity in
a number system is known as base.

3. BITS : -• Binary numbers are made of binary digits (bits).
Example : - 0 and 1
BYTE : -
• Group of eight bits are called a byte.
Example : - (11001001)2
NIBBLE : -
• Group of four bits are called a nibble.
Example : - (1101)2

4. Binary Number System
Octal Number System
Decimal Number System
Hexadecimal Number
System
0 & 1
0 to 7
0 to 9
0 to 9 & A to F

5. CO N V E R T
( B I N A R Y )
1. 1. Octal to Binary
2. 2. Decimal to Binary
3. 3. Hexadecimal to Binary
B I N A R Y
N U M B E R S YS T E M
This number system have two symbols to
represent the
numbers. The symbols are 0 or 1.It has base 2.

6. CO N V E R T
( O C TA L )
1. 1. Binary to Octal
2. 2. Decimal to Octal
3. 3. Hexadecimal to Octal
O C TA L
N U M B E R S YS T E M
This number system have eight symbols to
represent the numbers.
The symbols are 0,1,2,3,4,5,6 & 7.It has base 8.

7. CO N V E R T
( D E C I M A L )
1. 1. Binary to Decimal
2. 2. Octal to Decimal
3. 3. Hexadecimal to Decimal
D E C I M A L
N U M B E R S YS T E M
In this number system ten symbols are used to
represent the
numbers .The ten symbols are 0,1,2,3,4,5,6,7,8 &
9.It is also known as Arbaic
numerals. It has base 10.

8. CO N V E R T
( H E X A D E C I M A L )
1. 1. Binary to Hexadecimal
2. 2. Octal to Hexadecimal
3. 3. Decimal to Hexadecimal
H E X A D E C I M A L
N U M B E R S YS T E M
This number system have 16 symbols to
represent the numbers. The
symbols are 0,1,2,3,4,5,6,7,8 , 9,A,B,C,D,E & F. it
has base 16.

9. The following table represents the
comparisons
of all the number system.
Binary Octal Decimal Hexadecimal Number
0 0 (000) 0 0 (0000) A (1010)
1 1 (001) 1 1 (0001) B (1011)
2 (010) 2 2 (0010) C (1100)
3 (011) 3 3 (0011) D (1101)
4 (100) 4 4 (0100) E (1110)
5 (101) 5 5 (0101) F (1111)
6 (110) 6 6 (0110)
7 (111) 7 7 (0111)
8 8 (1000)
9 9 (1001)

10. THANK YOU
P R E S E N T E D BY
DURGESH SAHU