$10-16.$ The control state diagram of Fig. $10-15($a$)$ does not use variable O$,$ as a condition for state transition.

Instead, Q$,$ is used as part of a control function in the list of register transfers. Redesign the control so that Q appears as a condition in the state diagram and removed from the list of control functions.

Show that for this case the state diagram must have at least five states.