(a) Prepare a truth table listing all combinations of the input signals F, G, B, and E. Show the desired value of I for each row in the table. (b) Write a Boolean expression in canonical form with the minimum number of terms. (c) Simplify the function using algebraic manipulations (optional). (d) Sketch the logic circuit implementation. (use gates: AND, OR, NOT, etc.)
Design a logic circuit to control electrical power to the engine ignition of a speed boat:
Ignition output (I): is to become high if ignition power is to be applied and remain low otherwise.
Gasoline fumes sensor input (F): Gasoline fumes in the engine compartment present a serious hazard of explosion. A sensor provides a logic input F which is high if fumes are present. Ignition power should not be applied if fumes are present.
Gear Sensor input (G): To help prevent accidents, ignition power should not be applied while the outdrive is in gear. Logic signal G is high if the outdrive is in gear and low otherwise.
The blower is operated for more than 5 minutes signal input (B): A blower is provided to clear fumes from the engine compartment and is to be operated for 5 minutes before applying ignition power. Logic signal B becomes high after the blower has been in operation for 5 minutes.
Emergency override signal (E): Finally, an emergency override signal E is provided so, when E=1 => the operator can apply ignition power even if the blower has not operated for 5 minutes(B) and if the outdrive is in gear(G), but not if gasoline fumes are present(F).
(If E=0 => no emergency case => B=1, G=0 and F=0 are ignition conditions.)
(a) Prepare a truth table listing all combinations of the input signals F, G, B, and E. Show the desired value of I for each row in the table.
(b) Write a Boolean expression in canonical form with the minimum number of terms.
(c) Simplify the function using algebraic manipulations (optional).
(d) Sketch the logic circuit implementation. (use gates: AND, OR, NOT, etc.)
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