Digital Logic Design: Boolean Algebra Rules Quiz
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Questions and Answers

What is the Boolean expression for the logic circuit diagram with inputs X and Y?

  • $F=(X+Y)\cdot(X' + Y')$
  • $F=(X\cdot Y') + (X'\cdot Y)$
  • $F=(X+Y')\cdot(X'+Y)$ (correct)
  • $F=(X'\cdot Y) + (X\cdot Y')$
  • Which of the following is a basic law of Boolean algebra?

  • A · 1 = A (correct)
  • A + 0 = 0
  • A · 0 = 1
  • A + 1 = A
  • What is the dual of Demorgan's theorem for the expressions A + B and A · B?

  • $A' + B'$ and $A \cdot B$ (correct)
  • $A' \cdot B'$ and $A+B$
  • $A \cdot B'$ and $A' + B$
  • $A' \cdot B$ and $A+B'$
  • Using truth table, what did the given example aim to prove?

    <p>Distributive Law</p> Signup and view all the answers

    Which of the following is NOT one of the basic laws or theorems of Boolean algebra?

    <p>$A + (B \. C) = (A + B) \. (A + C)$</p> Signup and view all the answers

    Which mathematical algebra is used in digital logic?

    <p>Boolean algebra</p> Signup and view all the answers

    How are variables represented in Boolean algebra?

    <p>Using English capital letters</p> Signup and view all the answers

    Which operation is represented by 'X�Y' in Boolean algebra?

    <p>NOR</p> Signup and view all the answers

    What does a truth table specify for a Boolean expression?

    <p>The values of variables for all combinations</p> Signup and view all the answers

    Who developed Boolean algebra?

    <p>George Boole</p> Signup and view all the answers

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