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Codiode/Problems/Combinational Logic

Extract Expression from a Two-Level AND-OR Circuit with Fan-Out

EasyLogic CircuitAnalyze

Physical routing channels in silicon often distribute a single input signal to multiple logic gates to reduce pad count and area.

The schematic presents a two-level AND-OR circuit with three inputs A, B, and C, and one output Y. Input B splits at a fan-out node, feeding into both a top AND gate and a bottom AND gate. The top AND gate receives inputs A and B. The bottom AND gate receives inputs B and C. The outputs of both AND gates feed into a final OR gate.

Determine the Boolean expression at Y and evaluate the circuit behavior under specific input conditions.

Constraints

  • Assume ideal logic gates with zero propagation delay.
  • Fan-out nodes distribute the exact same logical value to all connected gate inputs.

Topics

Boolean AlgebraGate AnalysisFan-Out

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