A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input multiplexer (M3) as shown in the figure. X0-X7 are the inputs of the multiplexers M1 and M2 and could be connected to either 0 or 1. The select lines of the multiplexers are connected to Boolean variables A, B and C as shown.
Which one of the following set of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function $$\overline A + \overline A \,.\,\overline C + A\,.\,\overline B \,.\,C$$ ?
- A(1, 1, 0, 0, 1, 1, 1, 0)
- B(1, 1, 0, 0, 1, 1, 0, 1)
- C(1, 1, 0, 1, 1, 1, 0, 0)
- D(0, 0, 1, 1, 0, 1, 1, 1)
✓ Correct answer: C
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