 Now that you've practiced making a basic truth table and know the difference between and and or connectors in compound statements, I want to solve a more complex truth table. We will fill in the truth values below P and Q in the standard way. So again, the first statement is always true, true, false, false. The second statement is always true, false, true, false. Now for the negation of P whatever value P has, not P has the exact opposite value. So the first P is true, so not P would be false. Same here. The last two values for P are false, so the opposite of that will be true. Now to find the truth value of the compound statement, I'm going to use only not P and Q. So looking at those two columns, I notice my connector is an and. So with and when I have a true and a false, my conclusion for and is false. When I have false and false, my conclusion is false. When I have true and true, my conclusion is true because they're both true and you need both statements to be true and again with false and true, my conclusion is false. I have now completed the truth table for the compound statement not P and Q.