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Prove that (p q) is logically equivalent to p q using a truth table.
Computer Science
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Step-by-step solution
3 stepsConstruct a truth table for the expressions and .
We need columns for , , , , , , and .
Fill in the truth values for all possible combinations of and .
Compare the columns for and .
The column for is .
The column for is .
Since the truth values in these two columns are identical for all possible combinations of and , the expressions are logically equivalent.Therefore, and are logically equivalent.
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