Number system

Introduction 

Radix/Base(r/B)  :Used to tell how many different symbols present in any Number system.

Example:

1)Binary: B=2 , [0,1]

2)Octal: B=8 , [ 0,1,2,3,4,5,6,7]

3)Decimal: B=10 [ 0,1,2,3,4,5,6,7,8,9]

4)Hexadecimal : B=16 [0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F]

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

•Maximum value of symbol = Base -1

•Base of any Number system = maximum value of symbol +1

Q) Identify the base of number system?

 [ 4,3,2,1] 

Ans : maximum value= 4

B= 4+1= 5

• Base ≥ Maximum number+1

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 👉 arithmetic operations of Different radix systems