Question

The combinational circuit shown uses a 4x1 multiplexer. The output \( Q \) of the circuit is:

• A. \( A \cdot \overline{B} \cdot C \)
• B. \( A + B + C \)
• C. \( A \oplus B \oplus C \)
• D. \( \overline{A} \cdot \overline{B} \cdot \overline{C} \)

Hint:

Understand 4x1 MUX output: use select lines to pick data inputs, combine with input conditions.

Answer 1

The Correct Option is B

The multiplexer takes C as input to D0–D3 and selects among them using A and B. All data lines D0–D3 are logic 1 or C (not logic 0), so regardless of A and B, Q = C, and logic OR operation with A and B yields: \[ Q = A + B + C \]