The logic expression \(\bar ABC + \bar A\bar BC + AB\bar C + A\ba

The logic expression \(\bar ABC + \bar A\bar BC + AB\bar C + A\ba
| The logic expression \(\bar ABC + \bar A\bar BC + AB\bar C + A\bar B\bar C\) can be simplified to

A. A XOR C

B. A AND C̅

C. 0

D. 1

Please scroll down to see the correct answer and solution guide.

Right Answer is: A

SOLUTION

\(\begin{array}{l} \bar ABC + \bar A\bar BC + AB\bar C + A\bar B\bar C\\ = \bar AC\left( {B + \bar B} \right) + A\bar C\left( {B + \bar B} \right) \end{array}\)

\(= \bar AC + A\bar C\)

= A XOR C