Digital systems$($show your work$)$

Name

$-$Design a synchronous counter using J$-$K FFs that has the following sequence: $111,010,110,101$ and repeat. The undesined $($unused$)$ states $001,011,100,$ and $000$ must always go to $111$ on the next olock pulse.

Follow the next steps:

a$)$Draw the state transition diagram, b$)$ How many flip flops you need c$)$Construct a table with $($according with the number of flip flops$)$ d$)$ With the table use a Karnaugh map to find how you need to connect the different flip flops and draw the logic circuit