If a frequency of 2.5 kHz were measured at...

Question 1 of 270705eccefa5bacbc34ba4d48695

If a frequency of 2.5 kHz were measured at the output of 'FF-3' in the circuit shown in the illustration, what would be the input clock frequency at 'FF-0"? See illustration EL-0087.

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Question 1 of 27070

If a frequency of 2.5 kHz were measured at the output of 'FF-3' in the circuit shown in the illustration, what would be the input clock frequency at 'FF-0"? See illustration EL-0087.

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🔍 Key Concepts

• Identify what type of flip-flops are shown (note the J and K inputs tied high) and how that affects their output frequency relative to the input clock. • Observe from the timing diagram in part B how the frequency at Q0, Q1, Q2, and Q3 compares to the clock input (how many clock pulses per full cycle of each Q output). • Relate the division of frequency across the 4 cascaded flip-flops (FF0 to FF3) to find how many times the original clock has been divided to get the Q3 output.

💭 Think About

• From the timing diagram, how many clock-input pulses are required for Q0 to complete one full cycle (high and low)? For Q1? Q2? Q3? • If each flip-flop output is used as the clock for the next flip-flop, what mathematical relationship does that create between input and output frequency at each stage? • Given the measured 2.5 kHz at FF3, how can you work backwards through these frequency divisions to find the original clock frequency at FF0?

✅ Before You Answer

• Verify from the diagram that each flip-flop is configured to toggle on every triggering edge (J = K = 1). • Confirm from the waveform that each successive Q output has half the frequency of the previous one. • Before picking an answer, check that your final clock frequency, when divided down stage by stage, actually returns to 2.5 kHz at Q3.