The truth table is meaningless here. You need to create a state diagram (for example: [state 0, output 00, state change: On clock transition, next state:...]).Ramir said:How do I start deriving the truth table
A sequential circuit is a type of digital circuit that has the ability to store and remember previous states or inputs. This allows it to perform more complex functions and tasks compared to combinational circuits, which only depend on the current inputs.
JK flip flops have the ability to toggle between states, unlike other flip flops such as D or T flip flops which can only change states in one direction. This makes JK flip flops more versatile and useful in designing sequential circuits.
The truth table for a JK flip flop has four possible combinations of inputs (J and K) and outputs (Q and Q'). The outputs depend on the current state of the flip flop and the inputs given. It can be represented as:
| J | K | Q | Q' |
|---|---|---|---|
| 0 | 0 | Previous state | Previous state |
| 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | Toggle | Toggle |
The number of JK flip flops needed depends on the complexity of the circuit. Each JK flip flop can store one bit of information, so the number needed will depend on the number of bits in the output.
The process for designing a sequential circuit using JK flip flops involves analyzing the desired output and creating a state diagram to represent the different states and transitions. Then, the number of JK flip flops needed is determined and they are connected according to the state diagram. Finally, the inputs and outputs are assigned to each flip flop and the circuit is tested and optimized as needed.