F5.1 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 is to 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 when fumes are present. To help prevent accidents, ignition power should not be applied when the outdrive is in gear. Logic signal G is high if the outdrive is in gear and is low otherwise. A blower is provided to clear fumes from the engine compartment and is to be operated for five minutes before applying ignition power. Logic signal B becomes high after the blower has been in operation for five minutes. Finally, an emergency override signal E is provided so the operator can choose to apply ignition power even if the blower has not operated for five minutes and if the outdrive is in gear, but not if gasoline fumes are present. (Output I should not become high if all the inputs are low). (a) Prepare a truth table listing all combinations of the input signals B, E, F and G and show the desired value of the output I for each row in the table. (b) Write a canonical sum of products expression for I. (c) Write a canonical product of sums expression for I. (d) Manipulate the expression in (b) using Karnaugh maps to obtain an expression with the least number of terms and literals. (e) Draw the logic circuit of the expression in (d) using AND, OR and NOT gates. [25]