A logic circuit enables the automobile starter


A logic circuit enables the automobile starter only when the key switch is in the Start position, the shift lever is in Park or Neutral at the same time the driver is pressing on the brake pedal, but not if a door is open. Complete a truth table with the following variables: output E=1="Enable the Starter," and inputs S=1="Key in Start position," P=1= "shift in Park," N=1= "Shift in Neutral," D=1= "Door is Open," and B=1 when the Brake Pedal is pressed. Write the Boolean equation E = ... and draw the logic diagram using Inverters, AND gates and OR gates to implement this logic function.


S P N D B E 
0 0 0 0 0 
0 0 0 0 1 
0 0 0 1 0 
0 0 0 1 1 
0 0 1 0 0 
0 0 1 0 1 
0 0 1 1 0 
0 0 1 1 1 
0 1 0 0 0 
0 1 0 0 1 
0 1 0 1 0 
0 1 0 1 1 
0 1 1 0 0 
0 1 1 0 1 
0 1 1 1 0 
0 1 1 1 1 
1 0 0 0 0 
1 0 0 0 1 
1 0 0 1 0 
1 0 0 1 1 
1 0 1 0 0 
1 0 1 0 1 
1 0 1 1 0 
1 0 1 1 1 
1 1 0 0 0 
1 1 0 0 1 
1 1 0 1 0 
1 1 0 1 1 
1 1 1 0 0 
1 1 1 0 1 
1 1 1 1 0 
1 1 1 1 1  

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