Design a synchronous binary counter (using JK flip-flops) that counts forward from 0 (000) to 5…

Design a synchronous binary counter (using JK flip-flops) that counts forward from 0 (000) to 5 (101) (then back to 0) when X=1 and counts backward from 5 to 0 (then back to 5) when X=0.

Requirements
1. Draw the state diagram [0.75],
2. Establish the Satate table (PS, NS, X, and output) [0.5],
3. Add screenshots of the state table and equations windows of your design from LogicAid [0.5].
4. Using LogiSim design the circuit diagram and use Tunnels to generate the Boolean function for each J & K inputs and label all components. Inlude an hexadecimal display to display the output (include a snapshot of your diagram). Create and include screenshots of one time diagranm when X=0 and another one when X=1 [1.25).

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