Which of the following Boolean expressions correctly represents

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Which of the following Boolean expressions correctly represents the relation between P, Q, R and M?

1. M = (P OR Q)XOR R
2. M = (P AND Q)XOR R
3. M = (P NOR Q)XOR R
4. M = (P XOR Q)XOR R

Correct Option: D

From figure the output
M = PQ·(P + Q) ⊕ R
or M = ( P + Q)·(P + Q) ⊕ R
or M = ( PP + PQ + QP + QQ) ⊕ R
or M = (0 + PQ + QP + 0) ⊕ R
or M = P ⊕ Q ⊕ R
or M = (P XOR Q) XOR R