Binary and Octal Number Systems
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Questions and Answers

In the binary number system, how many bits make a byte?

  • 8 bits (correct)
  • 4 bits
  • 16 bits
  • 10 bits

    • Which number system uses 8 digits with a base of 8?

  • Binary number system
  • Decimal number system
  • Octal number system (correct)
  • Hexadecimal number system

    • What is the base of the hexadecimal number system?

  • 16 (correct)
  • 8
  • 12
  • 10

    • Which number system is commonly used to represent numbers in real life?

    <p>Decimal number system</p> Signup and view all the answers

    In the hexadecimal system, what numbers do A-F represent in the decimal number system?

    <p>10-15</p> Signup and view all the answers

    Why is the hexadecimal system used in computers?

    <p>To reduce the large-sized strings of the binary system</p> Signup and view all the answers

    What is the equivalent decimal number of (6F)16?

    <p>97</p> Signup and view all the answers

    Which steps are involved in converting a number from binary to the decimal system?

    <p>Multiply digits with base exponents and add them</p> Signup and view all the answers

    How is the decimal equivalent of a binary number found?

    <p>By multiplying each digit by base exponents and adding them</p> Signup and view all the answers

    What is the decimal equivalent of 1001112?

    <p>39</p> Signup and view all the answers

    What are the two digits used in the binary number system?

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

    How many digits make up a byte in the binary number system?

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

    What are the digits used in the octal number system?

    <p>0, 1, 2, 3, 4, 5, 6, 7</p> Signup and view all the answers

    How many digits does the hexadecimal number system use?

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

    Explain the steps involved in converting a number from binary to decimal system.

    <p>Multiply each digit by the exponents of the base (starting from the rightmost digit), then simplify and add the products.</p> Signup and view all the answers

    How would you convert the binary number 1001112 into the decimal system?

    <p>1001112 = 3910</p> Signup and view all the answers

    Why is the hexadecimal system used in computers?

    <p>The hexadecimal system is used to reduce large-sized strings of the binary system.</p> Signup and view all the answers

    What is the equivalent decimal number of (4B2A)16 in the hexadecimal system?

    <p>The equivalent decimal number of (4B2A)16 is 19242.</p> Signup and view all the answers

    Explain the process of converting a decimal number to binary.

    <p>Divide the given number by 2 repeatedly until the quotient is 0, then write the remainders from bottom to top.</p> Signup and view all the answers

    Which number system uses 8 digits with a base of 8?

    <p>The octal number system uses 8 digits with a base of 8.</p> Signup and view all the answers

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