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Truth table is a table in which the columns consist of true and false statements since every statement is either true or false, and then accordingly using the logical connectives, the final statement is declared to be true or false. The logical connectives are the symbols used in the middle of complicated statements, which are helpful in joining simple statements together. The logical connectives generally used in truth tables are V, Λ, ~,à, ↔ and these symbols give the result of a truth table accordingly.
Examples 1: Given ‘P’ and ‘Q’ are two statements. Construct the truth tables for PVQ and PΛQ.
PVQ is true when both the statements of P and Q are true, and is false only when both the statements are false.
However, PΛQ is true only when both the statements are true, and otherwise it’s false!
Example 2: Given ‘A’ and ‘B’ are two statements. Construct the truth tables for ~A V B and A Λ ~B.
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