The Boolean theorem AB + A'C + BC = AB + A'C corresponds to
2008
The Boolean theorem AB + A'C + BC = AB + A'C corresponds to
- A.
(A + B) ∙ (A' + C) ∙ (B + C) = (A + B) ∙ (A' + C)
- B.
AB + A'C + BC = AB + BC
- C.
AB + A'C + BC = (A + B) ∙ ( A '+ C) ∙ (B + C)
- D.
(A + B) ∙ (A' + C) ∙ (B + C) = AB + A'C
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Correct answer: A
The Boolean expression AB + A'C + BC = AB + A'C represents the Consensus Theorem. In Boolean algebra, when two product terms contain a variable and its complement (AB and A'C), the remaining literals form a consensus term (BC). This consensus term is redundant and can be eliminated without affecting the logical function.
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