Computer Science: Binary Representation
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Questions and Answers

What is the maximum number of different combinations of integers that can be represented using 3 bytes if each byte is encoded using one ASCII pattern?

  • 224
  • 224 + 1
  • 224 * 3
  • 224 - 1 (correct)
  • What is the main advantage of representing images using geometric structures compared to bit maps?

  • Geometric structures provide higher photographic quality.
  • Geometric structures require less storage space.
  • Geometric structures are easier to implement.
  • Geometric structures are more conductive to changes in scale. (correct)
  • What is the purpose of reserving one bit for sign convention in binary notation?

  • To reduce the number of possible combinations
  • To increase the maximum value that can be represented
  • To represent the sign of the number (correct)
  • To simplify the counting principles
  • What is the alternative notation for representing bit patterns besides hexadecimal notation?

    <p>Dotted decimal notation</p> Signup and view all the answers

    What is the disadvantage of geometric representation of images compared to bit maps?

    <p>Geometric structures do not provide the same photographic quality.</p> Signup and view all the answers

    What is the decimal equivalent of the byte 00001100 in binary notation?

    <p>12</p> Signup and view all the answers

    How many bits are used to represent the sign convention in binary notation?

    <p>1</p> Signup and view all the answers

    What is the largest numeric value that can be represented using three bytes if each byte is encoded using one ASCII pattern?

    <p>224 - 1</p> Signup and view all the answers

    What is the binary representation of the letter 'b' in ASCII?

    <p>01100010</p> Signup and view all the answers

    Which device can be described using two states, ON and OFF, and can be represented using 1 and 0?

    <p>Electric light bulb</p> Signup and view all the answers

    What is the purpose of assigning 1 and 0 to two states of a device?

    <p>To represent the device in a digital format</p> Signup and view all the answers

    What is the decimal equivalent of the binary number 01100010?

    <p>98</p> Signup and view all the answers

    What is the term for representing information as a series of 1s and 0s?

    <p>Bit pattern representation</p> Signup and view all the answers

    What is the primary advantage of representing information as bit patterns?

    <p>It enables digital representation of information</p> Signup and view all the answers

    What is the equivalent base 10 form of the binary representation 1011?

    <p>11</p> Signup and view all the answers

    What is the largest numeric value that can be represented with three bytes if each digit is encoded using one ASCII pattern per byte?

    <p>999</p> Signup and view all the answers

    What is the equivalent binary form of the base 10 representation 18?

    <p>10010</p> Signup and view all the answers

    How many bits are used to represent the number 999 in binary notation?

    <p>10</p> Signup and view all the answers

    What is the range of signed integers that can be represented using 3 bytes in binary notation?

    <p>0 to 224-1</p> Signup and view all the answers

    What is the equivalent base 10 form of the binary representation 1001?

    <p>9</p> Signup and view all the answers

    What is the equivalent binary form of the base 10 representation 6?

    <p>0110</p> Signup and view all the answers

    How many bits are required to represent the number 4 in binary notation?

    <p>3</p> Signup and view all the answers

    Study Notes

    Representing Information as Bit Patterns

    • 3 bytes can represent 2^24-1 different combinations of integers, considering one bit is reserved for sign convention.
    • Geometric representations of images are more conducive to changes in scale than bitmaps, but do not typically provide the same photographic quality.

    Binary to Decimal Conversion

    • 0101 → 5
    • 1001 → 9
    • 1011 → 11
    • 0110 → 6
    • 10000 → 16
    • 10010 → 18

    Decimal to Binary Conversion

    • 6 → 0110
    • 13 → 1101
    • 11 → 1011
    • 18 → 10010
    • 27 → 11011
    • 4 → 0100

    Largest Numeric Value Representation

    • 3 bytes can represent a maximum numeric value of 999 when each digit is encoded using one ASCII pattern per byte.
    • Using binary notation, 3 bytes can store any signed integer in the range from 0 to 2^24-1.

    ASCII Representation

    • The ASCII representation of the letter 'b' is 01100010.
    • An electric bulb can be represented using two states: ON (1) and OFF (0).
    • The ASCII 'b' can be represented as OFF ON ON OFF OFF OFF ON OFF using the electric bulb analogy.

    Bit Patterns

    • Dotted decimal notation represents each byte in a pattern by its base 10 equivalent, separated by periods.
    • Examples of dotted decimal notation:
      • 00001111 00001111 → 15.15
      • 00110011 00000000 10000000 → 51.0.128
      • 00001010 10100000 → 10.160

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    Related Documents

    Sheet 1 Solution.pdf

    Description

    Quiz on representing information as bit patterns, including ASCII and binary notation. Explore the different combinations of integers and their representation.

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