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Simplify the following Boolean expression. (a) AC+ABC=AC

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To simplify the given Boolean expression AC + ABC, we can factor out the common term "AC" from both terms:

AC + ABC = AC(1 + B)

Next, we notice that (1 + B) is always equal to 1 since B can only be 0 or 1 in Boolean algebra. Therefore, we can simplify the expression further:

AC(1 + B) = AC(1) = AC

Thus, the simplified Boolean expression is AC.

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