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Codiode/Problems/Sequential Logic

Positive Edge-Triggered DFF: Master-Slave Construction

EasyLogic CircuitBuild

Synchronous digital systems rely on edge-triggered state elements to prevent race conditions during clock cycles. The master-slave configuration forms the foundation of modern flip-flop design by cascading two level-sensitive latches with complementary enable signals.

Construct a positive edge-triggered D flip-flop. The output Q must capture the value of input D exactly at the rising edge of CLK and hold that value steady during the remainder of the clock cycle.

| CLK | D | Q (next) | |-------|-----|------------| | 0 | X | Q | | 1 | X | Q | | ↓ | X | Q | | ↑ | 0 | 0 | | ↑ | 1 | 1 |

Constraints

  • Implement the circuit using exactly two D latches and one NOT gate.
  • Do not use any built-in edge-triggered flip-flop components.
  • The final circuit must trigger on the positive edge of CLK.

Topics

sequentialmaster-slavelatchesflip-flops

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