Decimal, Binary, Octal, And Hexadecimal number systems.
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This document discusses various number systems: decimal, binary, octal, and hexadecimal, highlighting their definitions, historical context, and applications. Each system is described in terms of its number range, uses in computing, and conversion methods to and from other systems. The document emphasizes the importance of these systems in arithmetic and digital technology.
Decimal, Binary, Octal, And Hexadecimal number systems.
- 2. Name : AOUN ABBAS ROLL # 19012510-050 COURSE: : MSC
- 3. TOPIC Decimal, Binary, Octal, Hexadecimal number systems
- 4. Contents: Introduction Define number system Decimal system Binary system Octal system Hexadecimal system
- 5. 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.
- 6. Symbols
- 7. 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
- 8. History : Arabic number system: • These numbers developed by al-Khwarizmi and alkindi around 12th century.
- 10. 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
- 11. 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
- 12. 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
- 13. Applications • Use in daily routine use for different work. • its easy to use for arithmetic purpose.
- 14. 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
- 15. 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.
- 16. 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
- 17. Applications • It’s used in computer system for representation of colores. • Hexadecimal provide shortcut method for apply binary numbers
- 18. CONVERSION
- 19. Conversion of binary number system Binary to Decimal : (1010) binary = 10 decimal
- 20. Conversion of decimal number system Decimal to binary number system : Decimal 35 = 0100101 Binary LSD ? MSD ?
- 21. CONVERSION OF OCTAL NUMBER SYSTEM Conversion of Octal to Decimal : (𝟏𝟒𝟑) 𝟖 octal = (𝟗𝟗) 𝟏𝟎 Decimal
- 22. Conversion of hexadecimal Hexadecimal to decimal number system : (𝑨𝟐𝑭𝟕) 𝟏𝟔 Hexadeciam = (𝟒𝟏𝟕𝟏𝟗) 𝟏𝟎
- 23. Connection of all number system