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Question
The complement of the Boolean expression (A • B') + (B' • C) is ______.
Options
(A + B) • (B' + C)
(A' • B) + (B • C')
(A' + B) • (B + C')
(A • B') + (B • C')
MCQ
Fill in the Blanks
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Solution
The complement of the Boolean expression (A • B') + (B' • C) is (A' + B) • (B + C').
Explanation:
= [(A • B') + (B' • C)]'
= (A • B')' • (B' • C')
= (A' + B) • (B + C').
To obtain the final result, use De Morgan’s theorem (X + Y)' = (X' • Y') to each term separately and then merge them.
(A • B') = (A' + B) and (B' • C) = (B + C')
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