T to JK Conversion
State-dependent input steering is a common technique in finite state machine design, allowing a generic toggle element to implement complex transition conditions. A universal state-holding element can be constructed from a simple toggle mechanism by feeding the current state back into the excitation logic.
Implement the behavior of a JK flip-flop using a single T flip-flop and combinational logic. The circuit must evaluate the J and K inputs alongside the current state Q to determine the next state.
| J | K | Q | Next Q | |-----|-----|-----|----------| | 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
- Use exactly one T flip-flop.
- Use only AND, OR, and NOT gates for the excitation logic.
- Route the feedback from the flip-flop outputs to drive the combinational logic.
- Do not use any additional flip-flops or latches.
Topics
Solve this problem
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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