T to D Conversion: DFF from T Flip-Flop
Standard cell libraries often build complex sequential elements from a limited base set of primitives. Deriving a delay element from a toggle primitive requires mapping the desired next state to the necessary toggle action via feedback.
The circuit must behave as a D flip-flop where the next state equals the input D. The underlying storage element is a T flip-flop, which toggles its state when its input is 1 and holds its state when its input is 0.
| Q | D | Q_next | Required T | |-----|-----|----------|--------------| | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 1 | | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 0 |
Constraints
- Implement the design using exactly one T flip-flop.
- Do not use any D flip-flops.
- Derive the
Tinput using combinational logic based onDand the current stateQ.
Topics
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