Data Representation and Number Systems
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Questions and Answers

How is the Two’s Complement of a binary number derived from its One’s Complement?

  • By adding 1 (correct)
  • By multiplying by 2
  • By adding 0
  • By subtracting 1

    • Which of the following is true about the hexadecimal system?

  • It contains digits from 0 to 9 and letters A to F. (correct)
  • It is equivalent to the binary system.
  • It is a base 10 system.
  • It is a base 8 system.

    • What represents a single unit of data in binary terms?

  • Byte
  • Nibble
  • Bit (correct)
  • Kilobyte

    • In the context of binary prefixes, what is a byte typically composed of?

    <p>8 bits</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

    Which of the following correctly describes One’s Complement?

    <p>It represents positive and negative numbers with more complexity.</p> Signup and view all the answers

    What is the correct weight for the leftmost bit in an 8-bit binary number?

    <p>128</p> Signup and view all the answers

    What is the base of the binary number system?

    <p>Base 2</p> Signup and view all the answers

    How is a binary number converted to its decimal equivalent?

    <p>By multiplying each digit by its positional weight and summing the results.</p> Signup and view all the answers

    What does the most significant bit indicate in One’s Complement representation?

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

    Which of the following correctly describes the One’s Complement method?

    <p>It flips each bit from 0 to 1 and from 1 to 0.</p> Signup and view all the answers

    What is the primary challenge when representing negative binary numbers?

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

    In a binary number, what is the positional weight of the leftmost digit in 8 bits?

    <p>$2^7$</p> Signup and view all the answers

    What happens to the value of a binary number when converting it to One’s Complement?

    <p>It becomes negative in representation.</p> Signup and view all the answers

    Which method is NOT used for representing negative binary numbers?

    <p>Three’s Complement</p> Signup and view all the answers

    What is the binary representation for the decimal number 316?

    <p>0011 0001 0110</p> Signup and view all the answers

    Which aspect of binary coding allows computers to understand electrical states?

    <p>Representing states as 1's and 0's</p> Signup and view all the answers

    What does ASCII stand for?

    <p>American Standard Code for Information Interchange</p> Signup and view all the answers

    What limitation of ASCII led to the development of UNICODE?

    <p>Limited to 127 symbols</p> Signup and view all the answers

    How does UNICODE ensure compatibility with ASCII?

    <p>Reserves the first 127 symbols for ASCII</p> Signup and view all the answers

    What does Binary Coded Decimal (BCD) specifically represent?

    <p>Individual decimal digits in binary</p> Signup and view all the answers

    Which of the following statements is true about the ASCII coding system?

    <p>Mathematical operations can be performed between symbols.</p> Signup and view all the answers

    What is the decimal value of the binary number 10100101 using One’s Complement?

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

    In binary representation, what is the role of bits?

    <p>They are the basic unit of storage.</p> Signup and view all the answers

    What is the hexadecimal equivalent of the decimal number 687?

    <p>2AF</p> Signup and view all the answers

    How many bits are there in a byte?

    <p>8</p> Signup and view all the answers

    What represents the highest digit in the hexadecimal system?

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

    Which statement is true regarding binary prefixes?

    <p>A KiloByte equals 1024 bytes.</p> Signup and view all the answers

    How many digits does the hexadecimal system use to represent values?

    <p>16</p> Signup and view all the answers

    What is the primary digit system used in computing?

    <p>Base 2</p> Signup and view all the answers

    How is the decimal equivalent of the binary number 01101110 calculated?

    <p>Multiplying each digit by its positional weight and summing</p> Signup and view all the answers

    In One’s Complement representation, what happens to each digit of the binary number?

    <p>They are inverted (0 becomes 1 and 1 becomes 0)</p> Signup and view all the answers

    What indicates the sign of a number in One’s Complement representation?

    <p>The leftmost digit</p> Signup and view all the answers

    What does the leftmost bit in an 8-bit binary number represent?

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

    How can a binary number be converted to its decimal equivalent?

    <p>By multiplying each digit by its positional weight</p> Signup and view all the answers

    What is the weight of the leftmost bit in a binary number containing 8 bits?

    <p>$128$</p> Signup and view all the answers

    What does the acronym ASCII stand for?

    <p>American Standard Code for Information Interchange</p> Signup and view all the answers

    Which hexadecimal number correctly converts to decimal as demonstrated?

    <p>2AF</p> Signup and view all the answers

    Which statement about UNICODE is true?

    <p>UNICODE can represent a broader range of characters than ASCII.</p> Signup and view all the answers

    What is the primary use of Binary Coded Decimal (BCD)?

    <p>To represent individual decimal digits in binary form.</p> Signup and view all the answers

    What limitation of ASCII led to its development into UNICODE?

    <p>Inability to represent non-standard characters and symbols.</p> Signup and view all the answers

    How is the Binary Coded Decimal for the number 316 represented?

    <p>0011 0001 0110</p> Signup and view all the answers

    What is the role of the most significant bit in binary representation?

    <p>Shows the sign in signed binary numbers.</p> Signup and view all the answers

    How does UNICODE represent new symbols?

    <p>By using hexadecimal coordinates.</p> Signup and view all the answers

    Study Notes

    Data Representation

    • This presentation covers different number systems, including methods for converting between them.
    • Decimal is the base-10 system used in daily life.
    • Binary uses base-2 (0s and 1s), crucial in computer systems.
    • Prefixes denote magnitudes in both base-10 and base-2 systems.
      • Example base-10 prefixes: Kilo (1000), Mega (1,000,000).
      • Example base-2 prefixes: Kibi (1024), Mebi (1,048,576), Gibi (1,073,741,824), Tebi (1,099,511,627,776), Pebi (1,125,899,906,842,624).
    • Converting from binary to decimal involves multiplying each binary digit by the corresponding power of 2 and summing the results.
    • One's Complement and Two's Complement represent negative binary numbers.
      • One's Complement inverts the bits.
      • Two's Complement adds 1 to the One's Complement.
    • The leftmost bit (most significant bit) in a binary representation indicates the sign.
      • 0 for positive, 1 for negative in the Two's Complement system.
    • Hexadecimal uses base-16, combining digits 0-9 and letters A-F.
      • Each hexadecimal digit corresponds to a 4-bit binary sequence.
      • Example: 2AF (hexadecimal) is equivalent to 687 (decimal).
    • Binary Coded Decimal (BCD) uses 4 bits per each decimal digit.
      • 0000 = 0, 0001=1, 0010=2... 1001=9.
    • ASCII (American Standard Code for Information Interchange) and Unicode map characters to numerical values.
      • ASCII has 127 characters.
      • Unicode extends this, supporting a wider range of characters and symbols.

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    Description

    This quiz covers the fundamentals of different number systems, including decimal, binary, and hexadecimal. You will learn about conversion methods, prefixes, and binary representation techniques such as One's and Two's Complement. Test your understanding of how these systems are used in computing and daily life.

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