Ring counter initialization — For correct operation at startup, how should a ring counter be initialized?
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Aclearing all the flip-flops
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Bpresetting one flip-flop and clearing all the others
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Cclearing one flip-flop and presetting all the others
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Dpresetting all the flip-flops
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Eletting it free-run without initialization
Answer
Correct Answer: presetting one flip-flop and clearing all the others
Explanation
Introduction:Ring counters circulate a single 1 (or 0) through a chain of flip-flops to create equally spaced timing phases. Proper initialization ensures that exactly one active bit exists; otherwise, the sequence is invalid or ambiguous.
Given Data / Assumptions:
- N flip-flops connected in a loop (Q of last feeds the first).
- Desire is a 1-hot sequence for decoding simple timing signals.
- Flip-flops support preset and clear controls.
Concept / Approach:
To obtain a 1-hot pattern, set exactly one flip-flop to 1 and all others to 0 at startup. Each clock then rotates the 1 to the next stage, delivering predictable timing pulses with no overlaps or gaps.
Step-by-Step Solution:
Apply asynchronous preset to one chosen flip-flop (set = 1).Apply asynchronous clear to all remaining flip-flops (set = 0).Release controls; on each clock, the single 1 shifts to the next stage.Sequence remains valid and cyclic with period equal to the number of stages.Verification / Alternative check:
Waveforms demonstrate a rotating single 1 across outputs Q0, Q1, …, QN-1. Any other initialization (e.g., all zeros or multiple ones) either stalls the ring or produces multiple pulses per cycle.
Why Other Options Are Wrong:
- Clearing all / presetting all: Produces all-0 or all-1 states, not 1-hot.
- Clearing one, presetting others: Creates (N−1) ones, breaking 1-hot operation.
- No initialization: Startup state is unknown; sequence may be invalid.
Common Pitfalls:
- Relying on power-up defaults; many flip-flops power up unpredictably.
- Neglecting metastability or asynchronous control release skew.
Final Answer:
presetting one flip-flop and clearing all the others