In J-K flip-flop, the function K=J is used to realize _____________a)D...
Explanation:
The J-K flip-flop is a type of flip-flop circuit that uses two inputs, J and K, to control its behavior. The inputs J and K are used to determine the next state of the flip-flop based on its current state and the clock signal.
Function of J-K flip-flop:
The J-K flip-flop has four possible combinations of inputs:
1. J = 0, K = 0
2. J = 0, K = 1
3. J = 1, K = 0
4. J = 1, K = 1
These input combinations produce different behaviors in the J-K flip-flop.
Realizing T flip-flop:
The T flip-flop is a type of flip-flop circuit that toggles its output based on the input T and the clock signal. The T flip-flop has only one input, T, and produces a toggling behavior.
To realize a T flip-flop using a J-K flip-flop, we can set J and K inputs to be the same and connect the T input to both J and K inputs. This means that J = K = T.
When T = 0, J = K = 0, and the flip-flop holds its current state.
When T = 1, J = K = 1, and the flip-flop toggles its output.
Therefore, by setting J = K = T, we can realize the behavior of a T flip-flop using a J-K flip-flop.
Why not other options:
- D flip-flop: The D flip-flop has a single input, D, and stores the value of the input in its memory. It is not possible to realize a D flip-flop using a J-K flip-flop because the D flip-flop requires a direct input to store the value, whereas the J-K flip-flop works based on the combination of J and K inputs.
- S-R flip-flop: The S-R flip-flop has two inputs, S (set) and R (reset), and produces a behavior where the output is set or reset based on the inputs. It is not possible to realize an S-R flip-flop using a J-K flip-flop because the S-R flip-flop requires separate inputs for setting and resetting, whereas the J-K flip-flop uses the combination of J and K inputs.
- S-K flip-flop: The S-K flip-flop is not a commonly used type of flip-flop, and it is not possible to realize it using a J-K flip-flop.
Therefore, the correct option is T flip-flop, as it can be realized using a J-K flip-flop by setting J = K = T.