For the circuit shown in the following figure, I0

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For the circuit shown in the following figure, I0 – I3 are inputs to the 4: 1 multiplexer, R (MSB) and P and Q are control bits. The output Z can be represented by—

1. PS+ P Q S + R S Q
2. P Q + PQR + P Q S
3. P Q R + PQR + PQ R S + Q R S
4. PQR+ PQRS + PQ RS + Q R S

Correct Option: A

The given circuit
Z = + R + SP + + RSPQ + R + SP + RS (P + + Q)
or
Z = + R + SP + + RSPQ + PR + S + PRS + + QRS
From above K-map, we get
Z=P + S + PQS + RS + Q