ISRO Electronics & Communication (ECE) 2013 - Question 58

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Topic: Digital Electronics

What is the division factor of the following clock divider circuit?
(The circuit contains two D flip-flops and an AND gate. The clock input feeds the first flip-flop directly and the second flip-flop with an inverted clock. The $\bar{Q}$ outputs loop back to their D inputs. The Q outputs feed into the AND gate producing clk out.)

  • A. 2
  • B. 3
  • C. 1.5
  • D. 2.5

Answer: C. 1.5

Explanation: By tracing the timing diagram of the dual flip-flop arrangement (one triggered on positive edge, one on negative edge, with outputs ANDed), the output waveform has a time period that is $1.5$ times the input clock period ($T_{out} = 1.5 T_{in}$). Thus, the frequency division factor is $1.5$.

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