The Boolean expression ( A + C')(B'+ C') simplifies to
2008
The Boolean expression ( A + C')(B'+ C') simplifies to
- A.
C' + AB'
- B.
C' (A' + B)
- C.
B'C' + AB'
- D.
None of these.
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Correct answer: A
First, expand the expression using the distributive law: (A + C')(B' + C') = AB' + AC' + B'C' + C'C'. Next, simplify the term C'C' to C': AB' + AC' + B'C' + C'. Factor out C' from the last three terms: AB' + C'(A + B' + 1). Since any Boolean term ORed with 1 equals 1 (A + B' + 1 = 1), the expression becomes AB' + C'(1). Finally, simplify to get the result: AB' + C'.
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