GATE EE 2014 Set 2 — Question 61
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Analog & Digital Electronics → Digital Logic Circuits → Latches, Flip-Flops & Counters
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Question
A JK flip flop can be implemented by T flip-flops. Identify the correct implementation.
Correct answer
(B) [figure]
Solution
To implement a JK flip-flop using a T flip-flop, we compare their characteristic equations:
Comparing the coefficients of and :
Using a K-map for , we find:
This logic expression corresponds to two AND gates (one for and one for ) whose outputs are combined by an OR gate to drive the input. This configuration is correctly shown in option (B).
1.Characteristic equation of JK flip-flop:
2.Characteristic equation of T flip-flop:
By equating the two expressions for :Comparing the coefficients of and :
- For :
- For :
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 1 | 1 | 0 |
| 1 | 1 | 0 | 1 | 1 |
| 1 | 1 | 1 | 0 | 1 |
This logic expression corresponds to two AND gates (one for and one for ) whose outputs are combined by an OR gate to drive the input. This configuration is correctly shown in option (B).
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