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Codiode/Problems/Combinational Logic

Redundant Logic Identification

MediumLogic CircuitAnalyze

Automatic logic synthesis typically removes redundant gates, but manual structural instantiation or specific timing constraints can leave them intact and cause testability failures.

The schematic provided shows a 12-gate combinational logic block with inputs A, B, C, and D, and a single output Y. The circuit implements a specific Boolean function, but one of the intermediate logic gates does not contribute to the final evaluated state.

Analyze the signal paths and Boolean expressions at each node. Identify the single redundant gate that can be removed without altering the logical behavior at Y.

Constraints

  • Analyze the circuit statically without assuming specific input vectors.
  • Gate removal implies extracting the gate and its unique driving nets without leaving floating inputs on downstream logic.
  • Standard Boolean postulates and theorems apply.

Topics

boolean-algebralogic-optimizationfault-testing

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