Multiple choice

The Boolean expression AC + $B\bar C$ is equivalent to

  1. $\bar AC + B\bar C + AC$
  2. $\bar BC + AC + B\bar C+\bar A C \bar B$
  3. $AC+B\bar C + \bar B C + ABC$
  4. $ABC + \bar A B \bar C + AB \bar C + A \bar B C$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$$ \begin{array} AC + B\bar C &= AC_1 + B \bar C_1 \\ &= AC(B+\bar B) + B\bar C(A+\bar A) \\ &= ACB + AC\bar B + B\bar C A + B\overline{CA} \end{array} $$

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