Data Representation in Computing
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Questions and Answers

What is the result of converting the binary number 10100101 into One's Complement?

  • -91
  • -90 (correct)
  • -87
  • -89
  • In the Two's Complement method, what is the first step to convert a binary number?

  • Convert it to decimal
  • Take the One's Complement (correct)
  • Add 2 to the binary value
  • Leave the binary value unchanged
  • How many bits make up a byte in the binary system?

  • 16
  • 4
  • 8 (correct)
  • 32
  • What is the decimal value of the binary number 10100101 when viewed as a normal binary number?

    <p>165</p> Signup and view all the answers

    What is the representation of the decimal number 687 in hexadecimal?

    <p>20000000</p> Signup and view all the answers

    Which prefix is used in binary to denote 1024 bytes?

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

    What is the highest digit used in hexadecimal notation?

    <p>15</p> Signup and view all the answers

    When comparing binary and decimal prefixes, what does 1 KiloGram represent?

    <p>1,000 grams</p> Signup and view all the answers

    What is the base of the decimal number system commonly used by humans?

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

    Which digits are used in the binary number system?

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

    How do you convert the binary number 01101110 to decimal?

    <p>110</p> Signup and view all the answers

    In the context of binary representation, what does the leftmost digit indicate in One's Complement?

    <p>The sign of the number</p> Signup and view all the answers

    When a binary number is in One's Complement form, how is the number 90 represented?

    <p>01011010</p> Signup and view all the answers

    What method is often used to represent negative binary numbers?

    <p>One's and Two's Complement</p> Signup and view all the answers

    What result do you obtain from converting the binary number 10100101 in One's Complement?

    <p>-90</p> Signup and view all the answers

    What happens to the digits in the One's Complement method?

    <p>Digits are reversed</p> Signup and view all the answers

    What is the decimal equivalent of the hexadecimal number 2AF?

    <p>687</p> Signup and view all the answers

    What does Binary Coded Decimal (BCD) represent?

    <p>Each decimal digit in a separate binary form</p> Signup and view all the answers

    Why do computers primarily understand the binary system?

    <p>It is the simplest way to represent numbers using two states</p> Signup and view all the answers

    What is the purpose of ASCII?

    <p>To assign numeric values to keyboard symbols for computer understanding</p> Signup and view all the answers

    What is the limitation of ASCII that led to the development of UNICODE?

    <p>It can only represent 127 symbols, which is insufficient for many languages</p> Signup and view all the answers

    How does UNICODE ensure compatibility with ASCII?

    <p>The first 127 symbols in UNICODE are identical to those in ASCII</p> Signup and view all the answers

    What representation does UNICODE use for its additional symbols?

    <p>Hexadecimal coordinates</p> Signup and view all the answers

    Which of the following uses a 4-bit system to encode decimal digits?

    <p>Binary Coded Decimal</p> Signup and view all the answers

    Study Notes

    Data Representation

    • Data representation in computers uses various systems including base 10 (decimal), base 2 (binary), and base 16 (hexadecimal).
    • Humans are accustomed to base 10, using 10 digits (0-9).
    • Binary (base 2) uses 2 digits (0 and 1).
    • Hexadecimal (base 16) uses 16 digits (0-9 and A-F).

    Binary and Prefixes

    • In computing, a binary system is used. This system has only two digits, 0 and 1, and is often used to represent information and data.
    • Binary numbers are represented by a series of 0s and 1s.
    • Prefixes in binary systems denote magnitudes similarly to decimal systems, like kilobytes (KB), megabytes (MB), etc.
    • The fundamental unit is a bit.
    • 8 bits form a byte.

    Hexadecimal

    • The hexadecimal system uses base 16.
    • It uses digits 0-9 and letters A-F.
    • A conversion method from hexadecimal to decimal exists. The method involves multiplications by relevant powers of 16.

    Binary Coded Decimal (BCD)

    • BCD uses a 4-bit system to represent each digit in a decimal number.
    • Each decimal digit is represented by a separate 4-bit code.
    • This is useful for displaying decimal digits individually (like on a digital clock).

    ASCII & Unicode

    • ASCII (American Standard Code for Information Interchange) uses numerical codes to represent characters.
    • It has 127 characters and symbols.
    • Unicode is a larger system for encoding characters; it supports a wider range of characters. It includes representations for symbols from widely different languages and cultures.

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    Description

    This quiz focuses on various data representation systems used in computing, including binary, decimal, and hexadecimal formats. You will learn about the significance of each system, the prefixes used in binary representations, and the principles of Binary Coded Decimal (BCD). Test your knowledge of how data is represented in computers.

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