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Codiode/Problems/Combinational Logic

Feedback Multiplexer Optimization

MediumLogic CircuitAnalyze

Hardware synthesizers infer feedback paths to preserve register state across clock cycles when an explicit assignment is missing. The provided schematic shows the synthesized netlist of a digital state machine. The data path includes a register R1, a two-to-one multiplexer MUX_A, and control signals stall and next_val.

Analyze the data path to identify how the state is maintained during a stall condition. Determine the Boolean logic governing the select line of the feedback multiplexer.

Constraints

  • The circuit operates on a single clock domain
  • All multiplexers are standard two-to-one components
  • The stall signal is active-high

Topics

synthesismultiplexersregistersstate-retention

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