Difficulty: Easy
Correct Answer: one data input and a number of selection inputs, and they have several outputs
Explanation:
Introduction / Context:
A demultiplexer routes a single data stream to one of many outputs based on select lines. It is the inverse of a multiplexer and is key to signal routing, memory addressing, and time-division systems.
Given Data / Assumptions:
Concept / Approach:
Recognize the structural definition: a single data input D, k select lines S(k−1:0), and 2^k outputs Y(2^k−1:0) where only one output conveys D at a time.
Step-by-Step Solution:
Identify the number of data inputs → one.Account for selection → several select inputs.Outputs → multiple lines (typically 2^k).
Verification / Alternative check:
Compare to the multiplexer (MUX) structure which has several data inputs, select lines, and a single output; a DeMUX is the mirror image.
Why Other Options Are Wrong:
One input/one output: that is a buffer, not a DeMUX.Several inputs/one output: describes a MUX.Several inputs/several outputs: too vague; not the canonical DeMUX structure.
Common Pitfalls:
Confusing select lines with data inputs; select lines choose the destination but are not data channels.
Final Answer:
one data input and a number of selection inputs, and they have several outputs
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