Decimal, Binary, Octal, And Hexadecimal number systems.

StarPunjab 3,322 views 24 slides Jul 13, 2020
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About This Presentation

Details about DECIMAL, BINARY, OCTAL & HEXADECIMAL in the form of slides or ppt for presentation this topic.


Slide Content

Name : AOUN ABBAS ROLL # 19012510-050 COURSE: : MSC

TOPIC Decimal, Binary, Octal, Hexadecimal number systems

Contents: Introduction Define number system Decimal system Binary system Octal system Hexadecimal system

Introduction what is number system ? Its used to define a set of values which show some quantity about any thing. A number system can be represented differently in different system. Not only for computers but also imp- for arithmetic work.

Symbols

History Roman numbers systems : Developed by ancients roman around 5,000 years B.C. Roman number based on seven symbols. I  = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000

History : Arabic number system: These numbers developed by al-Khwarizmi and alkindi around 12 th century.

Binary number system This system include only one and zero digits. Every value is represented by 1 & 0 symbols. Its is also known base 2 number system. Example : (010) 2 = 2

Applications In computers all data represents in binary & for arithmetic process. Many integrated circuits used them in logic gates. It is used in all digital devices

Decimal number system This system include only ten digits from 0 to 9. Its also known base 10 number system. 0 is minimum value & 9 is maximum value digit. Examples : 10 = in this digit 0 is at unit and 1 at ten position

Applications Use in daily routine use for different work. its easy to use for arithmetic purpose.

Octal number system This system number include eight number from 0 to 7. (0,1,2,3,4,5,6,7) Its also known base 8 number system. Example: (273) 8

Applications Scientists are often looking for shortcut to do things by using this number system. programing Is was very popular in PDP/-8 and old computer systems.

Hexadecimal number system It contains 16 digits from 1 to 9 and 6 letters from A to F. A = 11 , B = 12, C = 13, D = 14, F =15, This also known as base 16 number system. Example: (273) 8

Applications It’s used in computer system for representation of colores . Hexadecimal provide shortcut method for apply binary numbers

CONVERSION

Conversion of binary number system Binary to Decimal : (1010) binary = 10 decimal

Conversion of decimal number system Decimal to binary number system : Decimal 35 = 0100101 Binary LSD ? MSD ?

CONVERSION OF OCTAL NUMBER SYSTEM Conversion of Octal to Decimal : octal = ( Decimal  

Conversion of hexadecimal Hexadecimal to decimal number system : Hexadeciam =  

Connection of all number system