A house has two lights to illuminate the stairs leading from the hall to the upstairs landing.The lights can be switched OFF and ON by either one of two switches, one in the hall and one in the landing. The lights are to be OFF when both switches are either ON or OFF together, and the lights are to be ON when one switch is ON and the other is OFF. i) Obtain the truth table of the system ii) Obtain the sum of products (SOP) Boolean expression for the system. iii) Implement the system using AND, NOT and OR logic gates. iv) Implement the system using exactly ONE logic gate.

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ISBN:9780133923605
Author:Robert L. Boylestad
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A house has two lights to illuminate the stairs leading from the hall to the upstairs landing. The
lights can be switched OFF and ON by either one of two switches, one in the hall and one in
the landing. The lights are to be OFF when both switches are either ON or OFF together, and
the lights are to be ON when one switch is ON and the other is OFF.
i) Obtain the truth table of the system
ii) Obtain the sum of products (SOP) Boolean expression for the system.
iii) Implement the system using AND, NOT and OR logic gates.
iv) Implement the system using exactly ONE logic gate.
Transcribed Image Text:A house has two lights to illuminate the stairs leading from the hall to the upstairs landing. The lights can be switched OFF and ON by either one of two switches, one in the hall and one in the landing. The lights are to be OFF when both switches are either ON or OFF together, and the lights are to be ON when one switch is ON and the other is OFF. i) Obtain the truth table of the system ii) Obtain the sum of products (SOP) Boolean expression for the system. iii) Implement the system using AND, NOT and OR logic gates. iv) Implement the system using exactly ONE logic gate.
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