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(d (d b)) d - (d = b) d - bdbd 1. Fill in the truth table: 2. Write a chain of equivalences to simplify

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(d (d b)) d - (d = b) d - bdbd 1. Fill in the truth table: 2. Write a chain of equivalences to simplify 7 (( p) 7p) as much as possible. Some laws that may be useful are given in the box. Each step in your chain will use exactly one of the laws, except if you need commutativity (the last two laws) you may combine steps (e.g. false v p = p rather than false v p = p v false = p). You don't need to say the name of any law. B) = A + B = A V B YA = A (A V B) = A 1 GB (A 1 B) = VA V B CA - (A 1 B) V C = (A V C) 1 (B V C) (A v B) 1 C = (A 1 C) v (B 1 C) -A V A = true LA 1 A = false A V true = true A v false = A A A true = A A 1 false false A V B = B V A = (A 1 B) V A = A (A V B) 1 A = A

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