Answer to Question #153909 in Discrete Mathematics for Angelica Aguilar

Question

Make a truth table for the given expression.

12. (~p∧q) ∨ (p∧~q)

13. (p∧~q) ∨ r

14. ~[(p∧~q) ∨ ~p]

15. (p∨q) ∧ ~(~q∧r)

16. (~p∧q) ∨ (~p∨q) 17. ~[(p∨q) ∧ ~q]

Answer 1

12. The truth table for $(\sim p\land q)\lor(p\land \sim q)$ given below :

13. The truth table for $(p\land \sim q)\lor r$ given below :

14. The truth table for $\sim [(p\land \sim q)\lor \sim p]$ given below

15. The truth table for $(p\lor q)\land \sim (\sim q\land r)$ given below :

16. The truth table for $(\sim p\land q)\lor (\sim p\lor q)$ given below:

17. The truth table for $\sim [(p\lor q)\land \sim q]$ given below :