Which of the following options is equivalent to the Boolean expression…
2018
Which of the following options is equivalent to the Boolean expression A'C+A'BC'+A'B'C'?
- A.
A
- B.
A'
- C.
AC
- D.
BC'
Attempted by 112 students.
Show answer & explanation
Correct answer: B
Factor out A' to get A'(C + BC' + B'C'). Inside, factor C' from the last two terms: A'(C + C'(B+B')). Since B+B'=1, this becomes A'(C+C'). As C+C'=1, the result is A'. Thus, Option 1 matches.