Question: Problem # 1 : p ^ q, p v (-q), p ^ p ^ p are sample binary operations defined on logical values p and

Problem # 1 : p ^ q, p v (-q), p

Problem # 1 : p ^ q, p v (-q), p ^ p ^ p are sample binary operations defined on logical values p and q. How many different binary operations on logical values can be defined altogether? (explain). Can every binary operation be expressed using only the A, v and- operators (explain)? Problem #2: Prove of disprove (AAB)AC AA(BAC) where ? is the symmetric difference set operation, AAB (A- B) U (B - A)

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