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

The expression for the above truth table is

  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. $\bar B (A + C) (\bar A + \bar C)$
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A Correct answer
Explanation

 

$=\bar ABC + AB\bar C= B (A\bar C + \bar AC)=B (A + C)(\bar A + \bar C)$