An engineer and her son share an older model car, but the son keeps either leaving the keys in the ignition or leaving the lights on and draining the battery. She decides to design a logic circuit that will prevent him from doing either of those. She adds 3 sensors to the car that will send either a logic 0 or a 1 to the logic circuit. One sensor is added to the seat (S) with S=0 indicating that there is no one in the seat (no driver in the car) and S=1 meaning that there is a person in the driver’s seat. The second sensor is added to the ignition (K) with K=0 indicating that the key is not in the ignition and K=1 indicating that the key is in the ignition. The third is added to the lights (L) with L=0 indicating that the lights are turned off and L=1 indicating that the lights are on. The output of the circuit is a signal that goes to a buzzer (B) where B=1 means that the buzzer is on to remind the son to check the ignition and/or lights. B=0 indicates that the buzzer is off. Make a truth table with 3 inputs (S, K, and L) and a single output bit (B). Use a k-map to create a reduced POS (Product of Sums) equation for the output. Design using only 7432 OR gates and either 7408 or 7411 AND gates and determine the total number of gates and chips that would be used for this design.
An engineer and her son share an older model car, but the son keeps either leaving the keys in the
ignition or leaving the lights on and draining the battery. She decides to design a logic circuit that will
prevent him from doing either of those.
She adds 3 sensors to the car that will send either a logic 0 or a 1 to the logic circuit. One sensor is
added to the seat (S) with S=0 indicating that there is no one in the seat (no driver in the car) and S=1
meaning that there is a person in the driver’s seat. The second sensor is added to the ignition (K) with
K=0 indicating that the key is not in the ignition and K=1 indicating that the key is in the ignition. The
third is added to the lights (L) with L=0 indicating that the lights are turned off and L=1 indicating that
the lights are on. The output of the circuit is a signal that goes to a buzzer (B) where B=1 means that the
buzzer is on to remind the son to check the ignition and/or lights. B=0 indicates that the buzzer is off.
Make a truth table with 3 inputs (S, K, and L) and a single output bit (B). Use a k-map to create a
reduced POS (Product of Sums) equation for the output. Design using
only 7432 OR gates and either 7408 or 7411 AND gates and determine the total number of gates and
chips that would be used for this design.
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