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Two J-K flip-flops with their J-K inputs tied HIGH are cascaded to be used as counters. After four input clock pulses, the binary count is ________a.11b.00c.01d.10

Question

Two J-K flip-flops with their J-K inputs tied HIGH are cascaded to be used as counters. After four input clock pulses, the binary count is ________a.11b.00c.01d.10

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Solution

The answer is (d) 10.

Here's the step-by-step explanation:

  1. A J-K flip-flop is a type of flip-flop that can toggle between states. When both J and K inputs are HIGH (1), the flip-flop toggles its output on each clock pulse.

  2. If we have two J-K flip-flops cascaded (i.e., the output of the first flip-flop is connected to the clock input of the second flip-flop), we have a 2-bit binary counter.

  3. The counter starts at 00. After the first clock pulse, the first flip-flop toggles, so the count is 01.

  4. After the second clock pulse, the first flip-flop toggles again, and because its output goes from 1 to 0, it triggers the second flip-flop to toggle as well. So the count is 10.

  5. After the third clock pulse, the first flip-flop toggles again, so the count is 11.

  6. After the fourth clock pulse, both flip-flops toggle again, so the count goes back to 00.

Therefore, after four input clock pulses, the binary count is 10.

This problem has been solved

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