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 (D)</p>
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Which of the following is NOT one of the basic laws or theorems of Boolean algebra?

<p>$A + (B \. C) = (A + B) \. (A + C)$ (C)</p>
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Which mathematical algebra is used in digital logic?

<p>Boolean algebra (B)</p>
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How are variables represented in Boolean algebra?

<p>Using English capital letters (D)</p>
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Which operation is represented by 'X�Y' in Boolean algebra?

<p>NOR (B)</p>
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What does a truth table specify for a Boolean expression?

<p>The values of variables for all combinations (D)</p>
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Who developed Boolean algebra?

<p>George Boole (A)</p>
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