The combination of selection lines for sending the input I14 to output in the following multiplexer is? (A 64×1 MUX with inputs I0...I63 and selection lines S5, S4, S3, S2, S1, S0 is shown, driving a single output.)
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Correct answer: D. 001110
Explanation
A 64×1 multiplexer needs 6 selection lines (S5...S0) since 26 = 64, and input Ik is routed to the output exactly when the selection lines equal the 6-bit binary representation of k. Converting 14 to 6-bit binary: 14 = 8+4+2, i.e. 001110. So the selection combination S5S4S3S2S1S0 = 001110 routes I14 to the output.More Computer System Architecture questions
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