Question: 1. (a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step in your proof. Hint: Expand

(a) Prove the zero theorem x + 1 = 1 with Boolean algebra. Give a reason for each step in your proof. Hint: Expand the 1 on the left with the complement property and then use the idempotent property.

(b) Show the dual proof of part (a).

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