b) An automatic door entrance system utilizes a laser sensor. Whenever the laser sensor detects person in front of the door it will produce Logic 1. When the open button manually pressed it will produce Logic 1. While the door locking mechanism is set which forcing the door to stay locked it will produce Logic 1. Once receiving Logic 1, the system will activate the motor to open the door. The system follows condition below: a. The door open when sensor detects a person to come in. b. The door open when manual open button is pressed. c. Condition a and b only applies when the door not set to locking mechanism. Answer the following questions: i) Construct truth table for the system. ii) Simplify the sum of product (SOP) expression using K-Map. iii) Draw the logic circuit for the simplified Boolean expression obtained in 2b)ii).

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b)
An automatic door entrance system utilizes a laser sensor. Whenever the
laser sensor detects person in front of the door it will produce Logic 1. When
the open button manually pressed it will produce Logic 1. While the door
locking mechanism is set which forcing the door to stay locked it will produce
Logic 1. Once receiving Logic 1, the system will activate the motor to open
the door. The system follows condition below:
a. The door open when sensor detects a person to come in.
b. The door open when manual open button is pressed.
c. Condition a and b only applies when the door not set to locking
mechanism.
Answer the following questions:
i)
Construct truth table for the system.
ii) Simplify the sum of product (SOP) expression using K-Map.
iii) Draw the logic circuit for the simplified Boolean expression obtained in
2b)ii).
Transcribed Image Text:b) An automatic door entrance system utilizes a laser sensor. Whenever the laser sensor detects person in front of the door it will produce Logic 1. When the open button manually pressed it will produce Logic 1. While the door locking mechanism is set which forcing the door to stay locked it will produce Logic 1. Once receiving Logic 1, the system will activate the motor to open the door. The system follows condition below: a. The door open when sensor detects a person to come in. b. The door open when manual open button is pressed. c. Condition a and b only applies when the door not set to locking mechanism. Answer the following questions: i) Construct truth table for the system. ii) Simplify the sum of product (SOP) expression using K-Map. iii) Draw the logic circuit for the simplified Boolean expression obtained in 2b)ii).
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