We want to design asynchronous counter that counts the sequence 0-1-0-...
In the given first loop of states, zero has repeated 3 times. So, minimum 4 number of Flip-flops are needed.
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We want to design asynchronous counter that counts the sequence 0-1-0-...
To implement the given sequence 0-1-0-2-0-3 and then repeat, we need to design an asynchronous counter using J-K flip-flops.
Asynchronous Counter:
An asynchronous counter, also known as a ripple counter, is a type of digital circuit that counts in a specific sequence using flip-flops. In an asynchronous counter, the output of one flip-flop serves as the clock input for the next flip-flop, creating a cascading effect.
Design Considerations:
To design the asynchronous counter, we need to consider the following points:
1. The counter should count the sequence 0-1-0-2-0-3 and then repeat.
2. The counter should have a minimum number of J-K flip-flops.
Design Approach:
To implement the desired sequence, we can use a 2-bit counter. The counter will have four states: 00, 01, 10, and 11. We can assign the desired sequence to these states as follows:
- State 00: Output 0
- State 01: Output 1
- State 10: Output 0
- State 11: Output 2
To repeat the sequence, we can connect the Q output of the second flip-flop to the J input of the first flip-flop. This will create a feedback loop, allowing the counter to repeat the sequence indefinitely.
Number of Flip-Flops:
To implement a 2-bit counter, we need a minimum of 2 flip-flops. However, we also need an additional flip-flop for the feedback loop to repeat the sequence. Therefore, the minimum number of J-K flip-flops required to implement this counter is 3.
Answer:
The correct answer is option (a) 3.0 : 3.0