Number System (Binary,octal,Decimal,Hexadecimal)
- 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