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Half Wave Rectifier

Five JK flip-...

Question

Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of 1 MHz are applied as shown. The frequency (in kHz) of the waveform at $Q_{3}$ is ___

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Solution

The circuit or the counter given is the asynchronous counter in which the clock is applied to first flip flop only and the remaining flip flop take the clock from the previous flip flops outputs.
As we know that 1 flip flop divides the frequency by 2. So, output of $Q_{3}$ is taken at 4th flip-flop. So, division of frequency be f/16.
$∴$ Frequency (in kHz) of the waveform of $Q_{3}$ = $\frac{1 M H z}{16}$ = 62.5 kHz

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