(Solved): Design a synchronous counter using JK flip flops that goes through the sequence 2>6>1>7 ...

Design a synchronous counter using JK flip flops that goes through the sequence $2?>6>1>7>5$ and repeat. (Hint: there are unused states which must be considered as don't cares) a) Fill the following state table that shows present state, next state and flip flop inputs. Do not delete any row or column from the table. You must fill all the rows and columns shown below. Do not change letters A, B and C to any other letter. Your solution will not be graded if you do not follow these instructions. b) Draw $k$-maps and obtain flip flop inpur equations $J_{\mathrm{A}},K_{\mathrm{A}},J_{\mathrm{h}},K_{\mathrm{n}}$, $J_{\text{and }}{K}_{\text{. }}$. c) Draw the circuit diagram. Properly label the flip flop inputs and outputs. d) What happens if the circuit goes to one of the unused states? Show your method of analysis. e) Show a state diagram, indicating what happens with the unused states.