 # Basic Operations in number system

## Number System is a set of numbers performing one or more basic operations such as addition, subtraction, multiplication or division. Following are some of the different number systems Binary Number System, Decimal Number System, Octal Number System and Hexadecimal Number System. Binary numbering systems are used in virtually all digital systems. The binary numeral system or base-2 number system represents numeric values using two symbols, i.e., 0 and 1. Decimal number system, also called positional numeral system, employs 10 as the base and requires 10 different numerals, i.e., the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. Octal Number System consists of eight digits from 0 to 7. The base of octal system is 8. Each digit position in this system represents a power of 8. The Hexadecimal Number System consists of 16 digits from 0 to 9 and A to F. The alphabets A to F represent decimal numbers from 10 to 15. The base of this number system is 16. Each digit position in hexadecimal system represents a power of 16. Binary division works just as decimal division by repeating subtraction. Subtraction in octal numbers is done by using 8’s complement. Subtraction of hexadecimal numbers can be accomplished by using complement method.

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