Number Systems Quiz
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Questions and Answers

What is the base number of a Hexadecimal number system?

  • 12
  • 8
  • 10
  • 16 (correct)
  • What is the base number of an Octal number system?

  • 10
  • 12
  • 8 (correct)
  • 16
  • (66)10 = (?)2

  • 1000013
  • 1000011
  • 1000012
  • 1000010 (correct)
  • Match the following number systems with their base numbers:

    <p>Binary = 2 Hexadecimal = 16 Octal = 8 Decimal = 10</p> Signup and view all the answers

    Match the following number conversion with its result in binary:

    <p>(576)10 = (1001000000)2 (332)10 = (101001100)2 (456)10 = (111001000)2 (732)10 = (1011011100)2</p> Signup and view all the answers

    Match the following binary operations with their results:

    <p>Subtract (01110)2 from (10101)2 = (00111)2 Add (10101)2 to (01110)2 = (100011)2 (10101)2 = Add (01110)2 (01110)2 = Subtract (10101)2</p> Signup and view all the answers

    Study Notes

    Number Systems

    • The base number of a hexadecimal number system is 16.
    • The base number of an octal number system is 8.
    • The decimal number 66 is equal to 1000010 in binary.

    Number Conversion

    • Decimal to Binary:
      • The decimal number 66 is equal to 1000010 in binary.

    Binary Operations

    • AND:
      • The binary operation AND is used for multiplication.
      • The AND operation is represented by the symbol &.
      • The AND operation will return a 1 if both operands are 1, otherwise it will return a 0.
    • OR:
      • The binary operation OR is used for addition.
      • The OR operation is represented by the symbol |.
      • The OR operation will return a 1 if one or both operands are 1, otherwise it will return a 0.
    • XOR:
      • The binary operation XOR (exclusive OR) is used to determine if exactly one of two operands is 1.
      • The XOR operation is represented by the symbol ^.
      • The XOR operation will return a 1 if one operand is 1 and the other is 0, otherwise it will return a 0.
    • NOT:
      • The binary operation NOT is used to invert the bits of a binary number.
      • The NOT operation is represented by the symbol ~.
      • The NOT operation returns the opposite of the input operand, so 0 becomes 1 and 1 becomes 0.

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    Description

    Test your knowledge of number systems with this quiz. Answer questions about binary, hexadecimal, and octal number systems, and practice converting decimal numbers to their binary equivalents. Brush up on your skills and improve your understanding of different number bases.

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