Consider a system with a single light (can be on or off) that can be controlled by any one of three switches. On switch is the master on/off switch. If it is down, the light is off. When the master switch is up, the light will be on iff both the other switches are up. a. Write a Boolean function (let’s call it F) for this circuitb. Write a truth table for F. c. Draw a circuit diagram to show how F could be implemented with AND, OR, and NOT gates.