Suppose we wish to design a car security system that operates as follows:

There are only two states: siren off and siren on There is no combinational output. There are three combinational inputs: M(master), D(door), and V(vibration) (inputs should be written in the given order MDV.) If the siren is off, it is turned on when the master is on and either the door switch or the vibrator switch is on. (This is a regular or, not an exclusive or). If the siren is off, it will remain off when either the master switch remains off or if the master switch is on but none of the other two switches are on. If the siren is currently on, it will remain on as long as the master switch is on. If the siren is currently on, the only way to make it return to off is to turn the master switch off. There will be multiple inputs that cause the same transition.

a) Draw the state diagram:

b) Draw the state table

c) Optimize the functions using Karnaugh Maps

d) Draw the sequential circuit