Number Systems: Decimal, Binary, Octal, Hexadecimal

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5 Questions

Which number system uses ten digits and is the most widely used in the world?

Decimal Number System

In which number system does each digit's position represent powers of 2?

Binary Number System

Which number system uses the digits A, B, C, D, E, and F in addition to 0-9?

Hexadecimal Number System

Which number system has found applications in computer programming and digital systems?

Hexadecimal Number System

What is the main difference between the octal number system and the decimal number system?

Number of digits used

Study Notes

History of Computer

  • Charles Babbage, known as the Father of Modern Digital Computers, was a 19th-century professor at Cambridge University.
  • He designed a completely automated analytical engine for performing basic mathematical functions.
  • Babbage's difference engine was a part of his idea, with two built models.

Generations of Computer

  • 1st Generation (1943-1958): used vacuum tubes, with examples like ENIAC and IBM 650.
  • 2nd Generation (1959-1965): used transistors, with examples like IBM 7090, and low-level programming languages like Assembly Language.
  • 3rd Generation (1966-1973): used LSI (Large Scale Integration) and Integrated Circuits (IC), with examples like IBM 360/91, and programming languages like C, COBOL, and FORTRAN.
  • 4th Generation (1971): used VLSI (Very Large Scale Integration) and microprocessors.
  • 5th Generation (1990 onwards): focuses on Artificial Intelligence (AI) and Natural Language Recognition.

Number Systems

  • Number systems are a mathematical notation used to express numbers consistently and systematically.
  • There are four types of number systems: Decimal, Binary, Octal, and Hexadecimal.

Decimal Number System

  • Uses ten digits: 0-9.
  • Positions of digits represent powers of 10.
  • Most widely used number system in the world.

Binary Number System

  • Uses only two digits: 0 and 1.
  • Fundamental in computer science and digital electronics.
  • Each digit's position represents powers of 2.
  • Foundation of computer programming and data representation in computers.

Octal Number System

  • Uses eight digits: 0-7.
  • Less commonly used in everyday life.
  • Has applications in computer science and digital systems.

Hexadecimal Number System

  • Uses sixteen digits: 0-9 and A-F.
  • Widely used in computing and digital electronics.
  • Represents numerical values using sixteen digits.

This quiz covers the Decimal, Binary, Octal, and Hexadecimal number systems. It includes information on how each system works and their respective symbols. Test your knowledge on converting between different number systems and understanding the positional value of digits.

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