Question

Simplify the following Boolean expression using Boolean algebra laws:

F = (A + B) * (A' + C) * (B + C)

A F = A*C + B*C Correct Answer Incorrect Answer
B F = B*C Correct Answer Incorrect Answer
C F = A*C Correct Answer Incorrect Answer
D F = A*C + B Correct Answer Incorrect Answer
E All of these Correct Answer Incorrect Answer

Solution

Apply the distributive law and simplify: F = (A + B) * (A' + C) * (B + C) F = (A*A' + A*C + B*A' + B*C) * (B + C) F = (0 + A*C + B*A' + B*C) * (B + C) F = A*C + B*C

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