Number Systems

In general, in any number system there is an ordered set of symbols known as digits with rules defined for performing arithmetic operations like addition, multiplication etc. A collection of these digits makes a number which in general has two parts - integer and fractional, set apart by a radix point(.) that is,

Nb = d n-1 d n-2 ........d 1 d 0 . d -1 d -2 ...........d -m

Number System is of below types:

  • Binary
  • Octal
  • Decimal
  • Hexadecimal

The detail is given below

Number system

Base

Symbols used

Examples

Binary

Octal

Decimal

Hexadecimal

2

8

10

16

0,1

0,1,2,3,4,5,6,7

0,1,2,3,4,5,6,7,8,9

0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

1011.11

342.45

245.98

2FAC.B98