Given a set B with three values (0,1,2) and two operators , + and ....
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Given a set B with three values (0,1,2) and two operators , + and • . The operating rules with operators + and • are defined in the table below: + 0 1 1 2 1 2 1 1 1 1 1 1 2 (A) Of the four basic axioms (commutative, distributive, identity, and complement), which axioms are satisfied by the two tables above? what is the identity element for the + and • operators respectively? (B) Does the set B with the two operators above form a Boolean algebra? explain your answer!| O12 Given a set B with three values (0,1,2) and two operators , + and • . The operating rules with operators + and • are defined in the table below: + 0 1 1 2 1 2 1 1 1 1 1 1 2 (A) Of the four basic axioms (commutative, distributive, identity, and complement), which axioms are satisfied by the two tables above? what is the identity element for the + and • operators respectively? (B) Does the set B with the two operators above form a Boolean algebra? explain your answer!| O12
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