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Name ________________________ Worksheet 1.2 Logic and Truth Tables We can represent the truth of expressions in a tabular form called “truth tables.” These tables consider all cases and can add great insight into otherwise complicated expressions. 1. Complete the following truth tables (a) p q T T T F F T F F p q T T T F F T F F ~ pÚr (b) ~p q (c) p q r qÙr p Ú (q Ù r) Name ________________________ Worksheet 1.2 Logic and Truth Tables 2. Draw up and complete the truth tables for the following expressions. Please follow all of the conventions that you have observed above (such as listing p before q, etc.) (a) p (~p) (b) (~p) (~q) p (~p) (~q) q 3. (a) Complete this truth table. p pq q (p q) p (b) Show that p (~p). p T F p (~p) Name ________________________ Worksheet 1.2 Logic and Truth Tables 4. Logically equivalent expressions have the same truth tables. Determine if the following pairs of statements are logically equivalent. (a) (p q) r and (p r) (q r) (b) ~(p q) and (~p) (~q) (c) ~(p q) and (~p) (~q)