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Codiode/Problems/Combinational Logic

Implement XOR Using a Single 4:1 MUX

EasyLogic CircuitBuild

Field-programmable gate arrays (FPGAs) rely on lookup tables to implement arbitrary combinational logic in hardware. A multiplexer functions as a physical lookup table when its select lines are driven by variable inputs and its data lines are tied to constant logic values.

Implement a 2-input XOR function using exactly one 4:1 multiplexer. Route the input signals A and B directly to the select lines of the multiplexer to resolve the following truth table:

| A | B | Y | |-----|-----|-----| | 0 | 0 | 0 | | 0 | 1 | 1 | | 1 | 0 | 1 | | 1 | 1 | 0 |

Constraints

  • Use exactly one 4:1 multiplexer.
  • Connect inputs A and B exclusively to the select lines of the multiplexer.
  • Tie all multiplexer data inputs strictly to constant 0 or 1 values.
  • Do not use any logic gates.

Topics

XORMultiplexerUniversal Logic

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