Which of the following is the simplified form of the Boolean expression…
2018
Which of the following is the simplified form of the Boolean expression (AB)'(A'+B)(B'+B)?
- A.
A
- B.
A'
- C.
B
- D.
B'
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Correct answer: B
Apply De Morgan's Law to (AB)' to get A' + B'. Since (B'+B) equals 1, the expression simplifies to (A' + B')(A' + B). Expanding yields A' + A'B, which further simplifies to A'. Therefore, the correct simplified form is A'.