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Computer Number Systems: Binary & Hexadecimal
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Computer Number Systems: Binary & Hexadecimal

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Questions and Answers

What is the base of the binary number system?

  • 2 (correct)
  • 10
  • 16
  • 8
  • What is the term used to describe each digit in the hexadecimal number system?

  • Bit
  • Byte
  • Digit
  • Nibble (correct)
  • How many bits are used to represent each decimal digit in the binary number system?

  • 3
  • 4 (correct)
  • 8
  • 2
  • What is the purpose of the octal number system?

    <p>Used in Unix file permissions and some programming languages</p> Signup and view all the answers

    How do you convert a binary number to a decimal number?

    <p>Convert each binary digit to decimal and sum the powers of 2</p> Signup and view all the answers

    What is the term used to describe a group of 3 bits in the octal number system?

    <p>Octal digit</p> Signup and view all the answers

    How do you convert a hexadecimal number to a binary number?

    <p>Convert each hexadecimal digit to a 4-digit binary number</p> Signup and view all the answers

    What is the term used to describe a group of 4 bits in the binary number system?

    <p>Byte</p> Signup and view all the answers

    How do you convert a decimal number to a binary number?

    <p>Convert each decimal digit to a 4-digit binary number</p> Signup and view all the answers

    Study Notes

    Number System in Computers

    Binary Number System

    • Uses only two digits: 0 and 1
    • Base-2 number system
    • Each digit is called a bit
    • 8-bit binary number is called a byte
    • Used by computers for internal representation of data
    • Conversion: Each decimal digit can be represented by a 4-digit binary number (0000 to 1001)

    Hexadecimal Number System

    • Uses 16 digits: 0-9 and A-F (A=10, B=11, ..., F=15)
    • Base-16 number system
    • Each digit is called a nibble (4-bit binary number)
    • Often used in programming and coding due to its human-readable format
    • Conversion: Each hexadecimal digit can be represented by a 4-digit binary number (0000 to 1111)

    Octal Number System

    • Uses 8 digits: 0-7
    • Base-8 number system
    • Less commonly used than binary and hexadecimal
    • Often used in Unix file permissions and some programming languages
    • Conversion: Each octal digit can be represented by a 3-digit binary number (000 to 111)

    Number System Conversion

    • Binary to Decimal: Convert each binary digit to decimal (0 or 1) and sum the powers of 2
    • Binary to Hexadecimal: Divide the binary number into groups of 4 bits (nibbles) and convert each group to hexadecimal
    • Binary to Octal: Divide the binary number into groups of 3 bits and convert each group to octal
    • Decimal to Binary: Convert each decimal digit to a 4-digit binary number
    • Hexadecimal to Binary: Convert each hexadecimal digit to a 4-digit binary number
    • Octal to Binary: Convert each octal digit to a 3-digit binary number

    Number Systems in Computers

    Binary Number System

    • Uses only two digits: 0 and 1, making it a base-2 number system
    • Each digit is called a bit, and 8 bits make up a byte
    • Computers use binary internally to represent data
    • Each decimal digit can be represented by a 4-digit binary number (0000 to 1001)

    Hexadecimal Number System

    • Uses 16 digits: 0-9 and A-F (A=10, B=11,..., F=15), making it a base-16 number system
    • Each digit is called a nibble, which is a 4-bit binary number
    • Hexadecimal is often used in programming and coding due to its human-readable format
    • Each hexadecimal digit can be represented by a 4-digit binary number (0000 to 1111)

    Octal Number System

    • Uses 8 digits: 0-7, making it a base-8 number system
    • Often used in Unix file permissions and some programming languages
    • Each octal digit can be represented by a 3-digit binary number (000 to 111)

    Number System Conversions

    • Binary to Decimal: Convert each binary digit to decimal (0 or 1) and sum the powers of 2
    • Binary to Hexadecimal: Divide the binary number into groups of 4 bits (nibbles) and convert each group to hexadecimal
    • Binary to Octal: Divide the binary number into groups of 3 bits and convert each group to octal
    • Decimal to Binary: Convert each decimal digit to a 4-digit binary number
    • Hexadecimal to Binary: Convert each hexadecimal digit to a 4-digit binary number
    • Octal to Binary: Convert each octal digit to a 3-digit binary number

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    Description

    A quiz on the basics of number systems used in computers, covering binary and hexadecimal systems, their representations, and conversions.

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