**Number system converting **

**Decimal change into Binary number system-**In this All the decimal number are divided by 2 as like some example:-

Convert 215 into binary number

A. First we divide by 215/2=102 we get binary number 1

B. second we divide by 192/2=51 we get binary number 0

c. Third we divide by 51/2=25 we get binary number 1

D. Fourth we divide by 25/2=12 we get binary number 1

E. fifth we divide by 12/2=6 we get binary number 0

E. Six step we divide 6/2=3 we get binary number 0

F. next is divide 3/2=1 we get binary number 1

G. next is we get 1 is binary we get binary number 1

215 is a decimal number and (11001101) is a binary number

we start the bottom to top

2. **Decimal convert into octal number system**

First we take a decimal and divide by the base of octal number and base of octal number is 8.

example:-convert 215 into octal number system

A. First we divide by 215/8=26 we get octal number 7

B. second we divide by 26/8=3 we get octal number 2

c. Third is get octal number 3

Base is 8 if we get the result is less then we get octal number

215 is decimal and (723) is the octal number system

3. **Decimal convert into hexadecimal – **In this we divided by 16 because hexadecimal base is 16.It means 11=A,12=B,13=C,14=D,15=E,16=F

Example – 215 convert into hexadecimal

A. First we divide by 215/16=13 we get Hexadecimal number 7

B. second we 13 is hexadecimal and word is **C=13**

215 is decimal and ( **C 7** ) is hexadecimal.