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Question
The compliment of the Boolean expression Aꞌ • (B • Cꞌ + Bꞌ • C).
Options
Aꞌ • (B + C + Bꞌ + C)
A + (B + Cꞌ) • (B + Cꞌ)
A + (Bꞌ + C) • (B + Cꞌ)
Aꞌ • (Bꞌ + Cꞌ + Bꞌ • C)
MCQ
Solution
A + (Bꞌ + C) • (B + Cꞌ)
Explanation:
- Using De Morgan's Theorem, we find the complement of A'. (B . C' + B' . C, resulting in A + `(bar(B.C').bar(B'.C)).`
- Simplifying further, we get the expression A + (Bꞌ + C) • (B + Cꞌ).
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DeMorgan’S Law/Theorem and Their Applications
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