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(1) For the following logical circuit, perform two actions. FIRST, convert the circuit into a logical statement. SECOND, create a truth table based on the

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(1) For the following logical circuit, perform two actions. FIRST, convert the circuit into a logical statement. SECOND, create a truth table based on the circuit/statement. ( 10 pts. each for statement and truth table.) (2) Use logical equivalences to perform a direct proof that the two following logical statements are equivalent. (20 pts.) Statement 1: !(P OR (!P AND Q)) Statement 2: !P AND !Q (3) Prove the following statement using the Direct Method. (20 pts.) If A

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