Multiplexer fundamentals A multiplexer (MUX) performs which input/output role in digital systems?
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Aone input and several outputs
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Bone input and one output
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Cseveral inputs and several outputs
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Dseveral inputs and one output
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Eseveral outputs selected to one input
Answer
Correct Answer: several inputs and one output
Explanation
Introduction / Context:Multiplexers are selection devices used to route one of many input signals to a single output line under the control of select inputs. They are essential in data routing, resource sharing, and implementing logic functions by selection rather than explicit gates.
Given Data / Assumptions:
- Standard MUX behavior is assumed (e.g., 2-to-1, 4-to-1, 8-to-1, 16-to-1).
- Control lines select exactly one input at a time.
- Transmission is ideal; ignore analog details and tristate behavior unless specified.
Concept / Approach:
A MUX funnels multiple candidate inputs into a single pathway. The Boolean function implemented equals the sum of selected minterms based on select lines, which is why MUXes can synthesize logic functions with appropriate input wiring.
Step-by-Step Reasoning:
Identify role: choose exactly one source among many.Confirm I/O structure: several inputs → one output.Select lines determine which input reaches the output.Verification / Alternative check:
Reference typical parts like 74HC157 (quad 2-to-1) or 74HC151 (8-to-1). Their truth tables show one output reflecting one selected input at a time based on select pins and enable control.
Why Other Options Are Wrong:
- One input to many outputs describes a demultiplexer, not a multiplexer.
- One input and one output is just a buffer.
- Several inputs and several outputs could be a crossbar or bus switch, not a simple MUX.
- Several outputs selected to one input inverts the concept.
Common Pitfalls:
- Confusing MUX with DEMUX; they are mirrors of each other.
- Forgetting enable pins that can tristate or disable the output.
Final Answer:
several inputs and one output