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p q p q T T F T F T F T T F F T p q p q T T F T F

p q p q
T T F
T F T
F T T
F F T
p q p q
T T F
T F F
F T F
F F T

Show: a. ( p q ) ( p q ) is logically equivalent to p q, i.e. ( p q ) ( p q ) p q.
b. the logical operator is not associative, i.e. ( p q ) r is not equivalent to ( p ( q r ).

Given the logical operators NAND denoted by and NOR denoted by .

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