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Codiode/Problems/Sequential Logic

SR to D Conversion: DFF from SR Flip-Flop

EasyLogic CircuitBuild

Standard cell libraries often build edge-triggered D flip-flops by wrapping simpler SR latch structures. Converting an SR core into a D-type data storage element requires ensuring the forbidden state is permanently unreachable.

Construct a D flip-flop using an SR flip-flop as the core. The output Q must capture the value of D on the rising edge of the clock. Map the D input to the internal S and R terminals to structurally guarantee that S and R can never simultaneously be 1. This strictly complementary mapping serves as the hardware proof that the forbidden state is impossible.

| D | S | R | |-----|-----|-----| | 0 | 0 | 1 | | 1 | 1 | 0 |

Constraints

  • Use exactly one SR flip-flop.
  • Use exactly one NOT gate.
  • Do not use any other logic gates or storage elements.

Topics

Sequential LogicLatches and Flip-FlopsConversion

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