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Codiode/Problems/Combinational Logic

XNOR Using Only NOR Gates

MediumLogic CircuitBuild

Phase detectors and equality checkers rely on equivalence logic to compare digital states. Synthesizing this equivalence function using a single gate type is a standard optimization for standard-cell ASIC layouts.

Implement the logic function Y = AB + A'B' for inputs A and B.

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

Constraints

  • Use only 2-input NOR gates.
  • Use a maximum of 4 gates.

Topics

gate-leveluniversal-gatessynthesis

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Place the gates, wire them up and watch the signals settle. Every submission runs on the same simulation engine that grades it.

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