PLEASE DRAW THE ANSWER

Design a counter that starts at $6$ then counts to $7$ then counts to $1$ then counts to $3$ then counts to $2$ then counts to $4$ and then counts to $0.$ Once it reaches $0$ the counter returns to $6$ and continues counting in the same manner.

Additionally, it must be implemented using T$-$flipflops, and answer the following:

Draw the transition graph for the counter

Draw the proper truth table for the present state and next state

Draw and fill the proper k$-$map$($s$)$ with all the labels for the next state.

Show the proper grouping in your k$-$map$($s$)$ and find the optimal $($minimal$)$ SoPs for the next state.

Draw the proper truth table for the logic to be connected to each flip flop

Draw and fill the proper k$-$map$($s$)$ with all the labels for the logic to be connected to each flip flop.

Show the proper grouping in your k$-$map$($s$)$ and find the optimal $($minimal$)$ SoPs for the logic to be connected to each flip flop.

Draw the logic design of the counter. Label and explain all the inputs and outputs.

Design a counter that starts at $6$ then counts to $7$ then counts to $1$ then counts to $3$ then counts to $2$ then counts to $4$ and then counts to $0.$ Once it reaches $0$ the counter returns to $6$ and continues counting in the same manner.

Additionally, it must be implemented using T$-$flipflops, and answer the following:

Draw the transition graph for the counter

Draw the proper truth table for the present state and next state

Draw and fill the proper k$-$map$($s$)$ with all the labels for the next state.

Show the proper grouping in your k$-$map$($s$)$ and find the optimal $($minimal$)$ SoPs for the next state.

Draw the proper truth table for the logic to be connected to each flip flop

Draw and fill the proper k$-$map$($s$)$ with all the labels for the logic to be connected to each flip flop.

Show the proper grouping in your k$-$map$($s$)$ and find the optimal $($minimal$)$ SoPs for the logic to be connected to each flip flop.

Draw the logic design of the counter. Label and explain all the inputs and outputs.