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Codiode/Problems/Sequential Logic

D-to-JK Conversion

HardLogic CircuitBuild

Legacy ASIC migrations frequently require adapting existing standard cell libraries to support new architectural features. The JK flip-flop provides hardware-level toggle functionality, but many modern standard cell libraries provide only D flip-flops.

Design the combinational next-state logic required to convert a standard D flip-flop into a JK flip-flop. The circuit receives the desired J and K control signals along with the current state Q, and must generate the next-state signal D to drive the flip-flop input.

| J | K | Q | D | |-----|-----|-----|-----| | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 |

Constraints

  • Implement using only combinational logic gates.
  • Minimize the total gate count to ensure optimal synthesis.
  • Do not use any sequential elements.

Topics

logic-minimizationk-mapflip-flops

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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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