Digital Electronics and Design Question 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...

Digital Electronics and Design Question

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.)