Design a 2 digit password input system (dd*) using FSM. The goal is to allow a user to input 2 digits and then press an * in order to gain access to a certain application program. Unlock phase follows after successful password entry. Your design must consider all abnormal logic and handlings. All input ports are interfaced to Port B while all output ports are interfaced to port A.

a.) Draw the data flow graph

b.) Draw the flow chart

c.) Sketch the finite state machine