A fan control system is described as follows: i. ii. The fan F can be switched off manually with a digital signal X, else it is in standby mode. A sensor on one side of the room indicates with a digital signal Y whether the temperature is above a certain threshold. Another sensor on the other side of the room indicates with another digital signal Z whether the temperature is above the threshold. From standby, the fan is switched on when there is a large temperature difference between the two sides of the room. iii. iv. Q.6.1 Construct a truth table for F when the control system is operating the fan. X Y Z F 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 (8)