Which of the following is the correct simplified form of the given Boolean…
2026
Which of the following is the correct simplified form of the given Boolean Expression?
P'·Q + P·Q' + P·Q
- A.
P' + Q
- B.
P + Q'
- C.
P + Q
- D.
P' + Q'
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Correct answer: C
The Boolean expression is P'·Q + P·Q' + P·Q.
Group terms with Q: (P'·Q + P·Q) + P·Q'. Factor Q: (P' + P)·Q + P·Q'.
Since P' + P = 1, the expression becomes Q + P·Q'. Applying the Absorption Law (A + A'B = A + B), this simplifies to Q + P.