Multiple choice

The Boolean expression for the truth table shown is

A B C f 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 Find the value of f.

  1. $B(A + C)(\bar A + \bar C)$
  2. $B(A + \bar C)(\bar A + C)$
  3. $\bar B(A + \bar C)(\bar A + C)$
  4. $\bar B(A + \bar C)(\bar A + C)$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

We have $$ f = \bar A BC + AB\bar C \\ = B(\bar A C + A\bar C) \\ = B(A+C)(\bar A + \bar C)$$