Simplification of AB + A'C + BC is:
2026
Simplification of AB + A'C + BC is:
- A.
C
- B.
AB + A'C
- C.
A'C + BC
- D.
AB + AC
Attempted by 125 students.
Show answer & explanation
Correct answer: B
The given Boolean expression is AB + A'C + BC.
We apply the Consensus Theorem, which states that XY + X'Z + YZ = XY + X'Z.
In this expression, let X = A, Y = B, and Z = C. The term BC is the consensus of AB and A'C.
Therefore, the term BC is redundant and can be eliminated.
The simplified expression is AB + A'C.