You and your teammate decided to create a system to predict fires and gas leaks and turn on an alarm if a fire or gas leak occurs and a motion sensor to detect if there is someone in the room. Microelectronic is a company where all the sensors you need can be found. The sensors (fire, gas leak and motion) you ordered were sent to you along with a datasheet that explained how you could connect them. You and your teammate decided that your system would work as follows: A sound alarm will be triggered if there is a gas leak or fire in the room. A light alarm will be activated if there is a gas leak or a fire in the room and someone is in it. Since both the gas and fire sensors cannot work at the same time, both the light, and sound will be off in this case 1. According to the above description, your tasks are as follows:

a) Illustrate and compose the Boolean expression describing each output of the system described above, by generating a truth table.

b) Reduce the Boolean expressions obtained to its simplest form using Boolean algebra.

c) Formulate a circuit that achieves the described system behavior using logic gates, Draw a representation using logic gates.