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2. Boolean Algebra: Prove the boolean equations using the axioms and theorems of boolean algebra. Write down explicitly the theorems used in each step of

2. Boolean Algebra:

Prove the boolean equations using the axioms and theorems of boolean algebra. Write down explicitly the theorems used in each step of the derivation.

  1. (a) (A+B+C).(A+B+C+D).(A+C).(B+C).(A+B) = (B+C).(A+B)

  2. (b) (A + B).(A.C + A.C) + A.B + B = A+B

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