If F(A, B, C) = (A + B)(A + C), what is the minimized form of F?
2023
If F(A, B, C) = (A + B)(A + C), what is the minimized form of F?
Answer: B. A + BC — By applying the distributive law of Boolean algebra, (A + B)(A + C) = A + BC. Alternatively, expanding it gives AA + AC + BA + BC. Since AA = A, it simplifies…
- A.
A + B + C
- B.
A + BC
- C.
AB + AC
- D.
A + AC
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Correct answer: B
By applying the distributive law of Boolean algebra, (A + B)(A + C) = A + BC. Alternatively, expanding it gives AA + AC + BA + BC. Since AA = A, it simplifies to A(1 + C + B) + BC = A(1) + BC = A + BC. Correct option is B.
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