Positive edge-triggered D flip-flop — operational description Which statement correctly describes how a positive edge-triggered D flip-flop captures and presents data at its output?
-
AIf both inputs are HIGH, the output will toggle.
-
BThe output will follow the input on the leading edge of the clock.
-
CWhen both inputs are LOW, an invalid state exists.
-
DThe input is toggled into the flip-flop on the leading edge of the clock and is passed to the output on the trailing edge of the clock.
Answer
Correct Answer: The output will follow the input on the leading edge of the clock.
Explanation
Introduction / Context:The positive edge-triggered D (data) flip-flop is the workhorse memory element of synchronous logic. Its behavior is simple: sample D at the rising edge of the clock and hold that value until the next rising edge. Understanding this sampling action is essential for designing pipelines, registers, and safe clock-domain crossings (with additional synchronizers).
Given Data / Assumptions:
- Device: positive edge-triggered D flip-flop.
- Inputs: D and CLK (plus optional asynchronous set/clear not discussed here).
- Output: Q (and often Q').
Concept / Approach:At each LOW-to-HIGH clock transition, the flip-flop captures the current logic level present at D, provided setup and hold times are satisfied. Immediately after the edge (allowing for propagation delay), Q updates to that sampled value and remains stable for the rest of the clock period, regardless of subsequent changes on D.
Step-by-Step Solution:
1) Identify the sampling instant: the leading (rising) edge.2) Apply the sampling rule: Q(next) = D(at the edge).3) Between edges: Q holds its previous state even if D toggles.4) Repeat at the next rising edge to update Q again.Verification / Alternative check:Review a timing diagram: align D transitions to meet setup/hold around the rising edge; Q transitions occur shortly after each rising edge only.
Why Other Options Are Wrong:
- Toggle behavior with both inputs HIGH describes a J–K flip-flop, not a D FF.
- Invalid state with both LOW applies to S–R latches, not D FFs.
- Leading-edge capture and trailing-edge output transfer describes master–slave staging, not a single edge-triggered D FF.
Common Pitfalls:Ignoring setup/hold requirements leading to metastability, or assuming Q follows D continuously during the HIGH level of the clock.
Final Answer:The output will follow the input on the leading edge of the clock.