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) Use the following truth table to determine whether this argument is valid (remember, means therefore): p q q p p q p q p

) Use the following truth table to determine whether this argument is valid (remember, means therefore): p q q p p q p q p q p q q p p q T T F F F F T T F F T T T T F T T F T T T F F T T T T F (T or F) The argument is valid. 10. (5 pts) Find the output of the circuit corresponding to the input P = 1, Q = 0, and R = 1. 11. (5 pts) Write the Boolean expression corresponding to the circuit. 12. (5 pts) Construct a truth table for the formula . 13. (5 pts) Show that is a tautology. 14. (5 pts) Construct a truth table for . 15. (5 pts) Show that and are logically equivalent.

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