Subjects logic

Truth Table

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Truth Table


1. The problem is to construct the truth table for a logical expression or variable(s). 2. A truth table enumerates all possible truth values of variables and the result of the logical expression. 3. For example, consider one variable $P$. The truth table lists $P$ as true (T) or false (F). 4. For two variables $P$ and $Q$, there are $2^2=4$ rows representing all combinations: TT, TF, FT, FF. 5. Without a specified expression, the general form for $n$ variables has $2^n$ rows. 6. Truth tables help visualize and analyze logical operations and expressions clearly. Final answer: The truth table is a systematic listing of all combinations of truth values for given variables or expressions.