Discussion
Output frequency in the following diagram will be :
A 1,31,072 Hz crystal drives a crystal oscillator, whose output feeds a 14-stage binary divider giving the output fo.
Answer: D
The output frequency is 8 Hz.
Each stage of a binary divider (one flip-flop) halves the frequency, so 14 stages divide by \(2^{14}\):
\[ \begin{aligned} 2^{14} &= 16384 \\ f_{o} &= \frac{131072}{16384} = 8\ \text{Hz} \end{aligned} \]
131072 is \(2^{17}\), so the result is \(2^{3}\) exactly. 1 kHz or 100 Hz would need a decimal (divide-by-10) chain, and 13 Hz does not come from dividing by any power of two.
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