Number Systems and Binary Conversion
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Questions and Answers

What is the correct binary representation of the decimal number 13?

  • 1001
  • 1010
  • 1110
  • 1101 (correct)
  • Which number system uses base 16?

  • Octal
  • Hexadecimal (correct)
  • Binary
  • Decimal
  • What is the primary difference between signed and unsigned binary numbers?

  • Signed numbers require more bits than unsigned numbers for the same value.
  • Unsigned numbers are limited to one byte; signed are limited to two bytes.
  • Signed numbers can represent both positive and negative values; unsigned cannot. (correct)
  • Unsigned numbers can only represent even values; signed can represent odd.
  • Which statement about compilers and interpreters is true?

    <p>Compilers analyze and translate the complete source code before execution; interpreters do so during execution.</p> Signup and view all the answers

    Which of the following correctly describes ASCII?

    <p>A character encoding standard for electronic communication.</p> Signup and view all the answers

    Study Notes

    Number Systems

    • Binary uses 0 and 1.
    • Octal uses 0-7.
    • Decimal uses 0-9.
    • Hexadecimal uses 0-9 and A-F.
    • Conversions exist between binary, decimal, octal, and hexadecimal.

    Binary Conversion

    • Binary to decimal: Calculate the sum of powers of 2 based on the positions of 1s.
    • Decimal to binary: Repeatedly divide by 2, recording remainders.
    • Binary to hexadecimal: Group binary digits into sets of 4, convert each set to its hexadecimal equivalent.
    • Hexadecimal to binary: Convert each hexadecimal digit to its 4-bit binary equivalent.

    Binary Representations

    • Unsigned binary represents positive values.
    • Signed binary uses different representations (e.g., two's complement) to indicate positive and negative numbers.

    ASCII and UTF

    • ASCII: A character encoding standard using 7 bits to represent characters.
    • UTF (Unicode): A character encoding standard supporting a wider range of characters than ASCII (using more bits).

    Computer Definition

    • A computer is a programmable machine capable of storing, retrieving, and processing data.

    Computer History

    • Computer evolution is discussed, but specific details are omitted.

    Key Computer Terms

    • Terms related to computers but specifics are not detailed.

    Computer Architecture

    • Computer architecture details are lacking

    Hardware and Software

    • Hardware is the physical components of a computer.
    • Software is the set of instructions that tells the computer what to do.

    Programming Languages

    • Programming languages are ways to give instructions to a computer.

    Compilers and Interpreters

    • Compilers translate code into machine language at once.
    • Interpreters translate code line by line.

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    Description

    This quiz covers various number systems including binary, octal, decimal, and hexadecimal. It delves into conversion methods between these systems, as well as the representations used in computing such as ASCII and UTF. Test your understanding of these fundamental concepts in computer science.

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