Design a logic circuit to control electrical power to the engine ignition of a speedboat. Logic output I is to become high if ignition power is to be applied and remain low otherwise. Gasoline fumes in the engine compartment present a serious hazard of explosion. A sensor provides a logic input F that is high if fumes are present. Ignition power should not be applied if fumes are present. To help prevent accidents, ignition power should not be applied while the overdrive is in gear. Logic signal G is high if the overdrive is in gear and is low otherwise. A blower is provided to clear fumes from the engine compartment and is to be operated for 2 minutes before applying ignition power. Logic signal B becomes high after the blower has been in operation for 2 minutes. Finally an emergency override signal E is provided so that the operator can choose to apply ignition power even if the blower has not operated for 2 minutes and if the overdrive is in gear, but not if gasoline fumes are present. [15] i) Construct the truth table listing all combinations of the input signals F, G, B and E. Also show the desired value of I for each row in the truth table. ii) Write down the SOP expression for I. iii) Write down the POS expression for I.