An emergency stop system is to be designed for acertain automatic production machine. A single "start"button is used to turn on the power to the machine atthe beginning of the day. In addition, there are three"stop" buttons located at different locations aroundthe machine, any one of which can be pressed toimmediately turn off power to the machine. (a) Writethe Boolean logic expression for the system. (b)Construct the logic network diagram for the system.(c) Construct the ladder logic diagram for the system