Question

Design an up/down wraparound counter with four states (0, 1, 2, 3) using clocked JK flip-flops. A control signal X is to be used as follows:

Answer 1

To design an up/down wraparound counter with four states (0, 1, 2, 3) using clocked JK flip-flops and a control signal X, assign J and K values to the flip-flops to represent the states and connect them with the clock signal. Connect the outputs of the flip-flops in a wraparound manner. Control signal X will increment or decrement the counter.

Step-by-step explanation:

To design an up/down wraparound counter with four states (0, 1, 2, 3) using clocked JK flip-flops and a control signal X, you will need 2 JK flip-flops to represent the 4 states. The counter should increment when X=1 and decrement when X=0. Here's the step-by-step process:

1. Assign J and K values to the flip-flops to represent the desired states. For example, for state 0, J=0 and K=0; for state 1, J=0 and K=1; for state 2, J=1 and K=0; for state 3, J=1 and K=1.
2. Connect the clock inputs of the flip-flops to the same clock signal.
3. Connect the outputs of the flip-flops to the inputs of the next flip-flop in the sequence, with the last flip-flop's output connected to the input of the first flip-flop. This creates a wraparound effect.
4. Connect control signal X to the clock enable inputs of the flip-flops. When X=1, the counter will increment; when X=0, the counter will decrement.

By following these steps, you can design an up/down wraparound counter with four states using JK flip-flops and a control signal X.