The Boolean expression for the circuit in Example 2.4.5 is

Chapter 2, Problem 32E

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QUESTION:

The Boolean expression for the circuit in Example 2.4.5 is

\((P \wedge Q \wedge R) \vee(P \wedge \sim Q \wedge R) \vee(P \wedge \sim Q \wedge \sim R)\)

(a disjunctive normal form). Find a circuit with at most three logic gates that is equivalent to this circuit.

Text Transcription:

(P wedge Q wedge R) vee(P wedge sim Q wedge R) vee(P wedge sim Q wedge sim R)

Questions & Answers

QUESTION:

The Boolean expression for the circuit in Example 2.4.5 is

\((P \wedge Q \wedge R) \vee(P \wedge \sim Q \wedge R) \vee(P \wedge \sim Q \wedge \sim R)\)

(a disjunctive normal form). Find a circuit with at most three logic gates that is equivalent to this circuit.

Text Transcription:

(P wedge Q wedge R) vee(P wedge sim Q wedge R) vee(P wedge sim Q wedge sim R)

ANSWER:

Step 1 of 2

The given Boolean expression is . An equivalent circuit with at most three-logic gate can be obtained by applying Boolean laws to the given expression.

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