Counter terminology: Evaluate the statement “Synchronous counters are clocked so that each flip-flop in the counter is triggered at the same time.” Determine whether this definition correctly distinguishes synchronous operation.
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ACorrect
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BIncorrect
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CTrue only for BCD counters
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DTrue only for ripple counters
Answer
Correct Answer: Correct
Explanation
Introduction / Context: Counters are fundamental sequential circuits. The key distinction between synchronous and asynchronous (ripple) counters lies in how the flip-flops receive their clocking. This question checks whether the provided definition accurately captures that difference.
Given Data / Assumptions:
- A counter consists of a chain of flip-flops.
- In synchronous counters, every flip-flop receives the clock directly.
- In asynchronous (ripple) counters, only the first stage is clocked by the external clock; subsequent stages are driven by preceding outputs.
Concept / Approach: Synchronous counters are designed so that all flip-flops sample simultaneously on the same clock edge. Combinational logic determines which stages toggle on that edge, but the edge itself reaches each flip-flop at the same time (subject to skew). This coordinated triggering minimizes ripple delays and enables higher operating frequencies compared to ripple counters.
Step-by-Step Solution:
Define synchronous: common clock input to all flip-flops.Define asynchronous: cascaded clocking through outputs of preceding stages.Evaluate statement: it claims “each flip-flop is triggered at the same time,” which matches the synchronous definition.Conclusion: the statement is correct.Verification / Alternative check: Timing diagrams of synchronous counters show simultaneous edge application, with output transitions aligned to that edge (after propagation delays). Ripple counters exhibit serial, staggered transitions.
Why Other Options Are Wrong: “Incorrect” misstates the accepted definition. Restrictions to “BCD counters” or “ripple counters” add irrelevant qualifiers and confuse clocking style with count code.
Common Pitfalls: Ignoring clock skew: while skew exists physically, the design intent remains simultaneous triggering. Also, conflating synchronous design with code encodings (binary, BCD, Gray) is a common misunderstanding.
Final Answer: Correct