Q$17.$ Design a system that counts the number of events on a single$-$bit input B and always outputs

an unsigned number on a $16-$bit output C$,$ which is initially $0.$ An event is a change from $0$ to

$1$ or from $1$ to $0.$ Assume the system count rolls over when the maximum value of $C$ is

reached.

$($a$)$ Capture the system behavior as an HLSM and draw the state transition diagram.

$($b$)$ Create a datapath for your HLSM$.$ Label the input$/$output signals of all components.