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