This circuit will experience a glitch in the output.

Question

BlackTom AI · Accepted Answer

First, observe the circuit configuration: there is a standard OR gate receiving two inputs. One input is coming directly from the signal labeled ToBe, and the other input is fed by a feedback path that includes an inverter.

Option 1 (True): This statement suggests that a glitch can appear at the output Q. Glitches often occur in combinational circuits when there are multiple paths with different propagation delays feeding the same gate. In this diagram, changing ToBe propagates through the direct path to the OR gate, while simultaneously the change travels through the inverter and back as feedback to the second input of the OR gate. If ToBe switches value, the two inputs to the OR gate may not switch exactly in sync due to differing delays, causing a brief moment where the OR output toggles before settling. This is a classic case of a potential dynamic hazard: different path delays can create a momentary incorrect output.

Option 2 (False): Saying there will be no glitch would require perfectly matched delays or a design that inherently prevents hazards. In most real circuits, especially with feedback involving an inverter, such perfect delay matching is unrealistic. Therefore, the assumption that glitches cannot occur here is unfounded.

Option 3 (Edge case reasoning): If ToBe remains constant, no new transitions occur, and thus no glitch would be produced. The glitch discussion is specifically about transient changes; since the circuit description highlights a glitch possibility, this option does not contradict the core hazard analysis but emphasizes that the glitch is contingent on input transitions, not on static conditions.

Option 4 (Alternative interpretation): One might argue the feedback could stabilize the output logically, eliminating a glitch. However, because the feedback path includes a delay element (the inverter) and the OR gate processes the two inputs independently, there still exists a window during which the two inputs disagree temporarily, allowing a momentary change at Q before the feedback stabilizes. This undermines the claim that glitches are impossible.

In summary, the circuit’s dual-path structure with asynchronous delays creates a plausible opportunity for a transient glitch at the output when ToBe changes, due to hazard-like behavior in the OR gate with a delayed feedback path.

EE-110 - SEC001 - INTRODUCTION TO DIGITAL LOGIC ❓Quiz 6

This circuit will experience a glitch in the output.

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