Boolean Function Minimization
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Questions and Answers

What does a minterm in Boolean algebra represent?

  • The sum of n literals
  • A product of n literals (correct)
  • The complement of an expression
  • The output of a logic gate

Which of the following is an example of a minterm?

  • $A + B$
  • $ABC$ (correct)
  • $A' + B$
  • $A + B + C$

In the context of Boolean variables, what is typically represented by the value 'true/false'?

  • Universal gates
  • Minterms
  • Maxterms
  • Logic states (correct)

Which term signifies a product of literals where each literal appears once for each term?

<p>Minterm (D)</p> Signup and view all the answers

What is a characteristic feature of minterms in logic diagrams?

<p>Containing variables with multiple occurrences (D)</p> Signup and view all the answers

What is the relationship between Maxterms and the F' minterms for a Boolean function F?

<p>Maxterms of F = F' minterms (B)</p> Signup and view all the answers

Why is reducing the number of gates important in minimizing a Boolean function/logic circuits?

<p>To lead to a more reliable and cheaper chip (D)</p> Signup and view all the answers

What does the statement 'Sum-of-products may contain more terms than necessary' imply in Boolean logic?

<p>It implies that simplification is necessary for optimization (A)</p> Signup and view all the answers

In Boolean variables, what does 'the term of the literals used are equal NOT THE OPERATIONS' mean?

<p>The terms formed by literals need to be equal, regardless of the operations involved (C)</p> Signup and view all the answers

Why does the efficiency of circuits depend on the number and arrangement of gates?

<p>The number and arrangement of gates determine circuit reliability and cost (C)</p> Signup and view all the answers

What does each cell in the representation of minterms and maxterms signify?

<p>A minterm/maxterm (A)</p> Signup and view all the answers

In the representation, what do adjacent squares indicate?

<p>Terms that differ by only 1 literal/variable (D)</p> Signup and view all the answers

What characteristic must the number of groups have in this context?

<p>Power of 2 (A)</p> Signup and view all the answers

What is the significance of homogeneous content in options when constructing distractors?

<p>It ensures plausible distractors (D)</p> Signup and view all the answers

Which term best represents a Boolean expression involving all variables?

<p>Maxterm (B)</p> Signup and view all the answers

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