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7 stepsHere are the steps to construct the truth table for the given logical expression:
List all possible truth values for and .
Calculate the truth values for .
This is false (F) only when is true (T) and is false (F).
Calculate the truth values for .
This is the opposite of the values for .
Calculate the truth values for .
This is the opposite of the values for .
Calculate the truth values for .
This is false (F) only when both and are false (F).
Calculate the truth values for .
This is true (T) only when both and are true (T).
Calculate the truth values for the final expression .
This is true (T) only when both sides, i.e., and , have the same truth value.
The truth table is as follows:
The final column of the truth table shows all 'F' (False) values. Therefore, the given expression is a contradiction.
The final column of the truth table consists of all F values, indicating a contradiction.
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