Computer Science · Multiplexers
Which of the following expression sets correctly implements the Boolean function F(A, B, C, D) = Σ(0, 1, 2, 4, 7, 8, 9, 11, 14) using a 4:1 MUX with select inputs A, B and data inputs I0, I1, I2, I3 in terms of variables C and D?
- 1I0 = (C'D'), I1 = C XNOR D, I2 = C XNOR D, I3 = CD'
- 2I0 = (C'D' + CD'), I1 = C XNOR D, I2 = C XNOR D, I3 = CD'
- 3I0 = (C XOR D), I1 = C XNOR D, I2 = C XNOR D, I3 = CD'
- 4I0 = (C'D' + C XOR D), I1 = C XNOR D, I2 = C XNOR D, I3 = CD'✓
Correct answer
I0 = (C'D' + C XOR D), I1 = C XNOR D, I2 = C XNOR D, I3 = CD'
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