Binary and Decimal Number Systems
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Questions and Answers

What is the base of the binary number system?

  • Base 8
  • Base 10
  • Base 2 (correct)
  • Base 16
  • Which digit in a binary number represents the on state?

  • 2
  • 1 (correct)
  • 0
  • Both 0 and 1
  • What algorithm can be used to convert a decimal number to binary?

  • Subtraction Algorithm
  • Multiplication Algorithm
  • Division Algorithm (correct)
  • Addition Algorithm
  • In the binary number 11101101, which digit is the least significant?

    <p>1 (last digit)</p> Signup and view all the answers

    What remainder sequence is obtained when converting the decimal number 67 to binary using the Division Algorithm?

    <p>110010</p> Signup and view all the answers

    What is the base of the decimal number system?

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

    In the decimal system, what is the value of the digit 7 in the number 572?

    <p>70</p> Signup and view all the answers

    If a number is expressed in base 10, how would the number 15 be represented in base 2?

    <p>1111</p> Signup and view all the answers

    Which statement about the decimal system is true?

    <p>It includes a concept of place value.</p> Signup and view all the answers

    What is the decimal equivalent of the binary number (10101101)2?

    <p>173</p> Signup and view all the answers

    In the multiplication algorithm for binary to decimal conversion, how are the binary digits treated?

    <p>They are multiplied by increasing powers of two.</p> Signup and view all the answers

    Which of the following steps is NOT part of the binary to decimal conversion via the multiplication algorithm?

    <p>Convert binary digits to their ASCII values.</p> Signup and view all the answers

    What do you do after multiplying the binary digits by their positional values in the multiplication algorithm?

    <p>Sum the products of the multiplications.</p> Signup and view all the answers

    If a binary number has the digits 1 in positions 7, 5, and 1, what would be the decimal contribution of these positions?

    <p>128 + 32 + 2</p> Signup and view all the answers

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