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Given Boolean theorem AB + A′C + BC = AB + A′C which of the following is true?
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- (A + B) (A′ + C) (B + C) = (A + B) (A′ + C)
- AB + A′C + BC = AB + BC
- AB + A′C + BC = (A + B) (A′ + C) (B + C)
- (A + B) (A′ + C) (B + C) = AB + A′C
Correct Option: A
For the given Boolean theorem
AB + A′C + BC = AB + A′C
Apply dual property, we get:
(A + B) (A′ + C) (B + C) = (A + B) (A′ + C)
Hence alternative (A) is the correct answer.
