P Nand Q Truth Table

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University of Texas at Austin

Andrew B.

Algebra

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Practise 54 page 57 Logical operators NAND and NOR. The suggestion p NAND q is true when eitk or q; or both_ are false: and it is false when both p and are truthful. The proposition NOK 4is truthful when both p and q are false; and information technology is false otherwise_ The propositions p NAND q and p NOR are denoted past p and p ! q respectively. (The operators and are called the Sheffer stroke and the Peirce pointer after H. One thousand. Sheffer and C. $ Peirce respectively a) Construct truth tabular array testify that p ! p is logically equivalent to b) Construct truth table t0 prove that (p ! Q ! (p 9) is logically equivalent to p 5 4: Construct truth table to show that p q IS logically equivalent to (p 5 q)- d) Conclude fron parts (a) (b) and (c) that {I}is funetionally comglete collection of logical operators_ where a colleetion of logical operators is called functionally consummate if every compound proffer is logically equivalent to chemical compound proposition involving only these logical operators_

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All correct. So we're constructing a truth table for this argument. Okay. And then we know that this statement is equivalent to not P and Q. So we only need to know what P and Q is, and that will give the states be non end Q. So P and Q. So both are true hither when it'south simulated, what is false? What is forcible? And so the P non end Q statement is just the negation of P and Q. Then we gave this statement. She becomes imitation and force becomes true. Don't modify the color. Yes. Um, and then the statement, the truth tabular array for the statement is yeah.