Difficulty: Easy
Correct Answer: high-frequency applications are limited because of internal propagation delays
Explanation:
Introduction / Context:
Asynchronous (ripple) counters cascade the clock edge from one flip-flop to the next, creating sequential toggling. While simple and low-resource, this architecture accumulates propagation delays (tPD) along the chain, which can distort timing and limit usable input frequency.
Given Data / Assumptions:
Concept / Approach:
The maximum input frequency for reliable counting is constrained by the worst-case sum of propagation delays through the toggling chain. As frequency increases, skew between bit transitions causes transient invalid states, glitching, and potential miscounts at downstream decoding logic.
Step-by-Step Solution:
Model a 4-bit ripple counter with tPD per stage.Cumulative delay across bits approaches 4*tPD, reducing available time before the next input edge.Above a certain input frequency, the device cannot settle to a valid count before the next transition.Result: high-frequency operation is limited by internal propagation delays.
Verification / Alternative check:
Compare with synchronous counters, which clock all flip-flops simultaneously; only combinational path (not cumulative toggling) limits frequency, allowing much higher speeds than ripple designs.
Why Other Options Are Wrong:
Common Pitfalls:
Using ripple counters near their frequency limits with additional decoding that is sensitive to transient states, leading to glitches or erroneous triggering.
Final Answer:
high-frequency applications are limited because of internal propagation delays
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