Imagine a water tank used to store water. An automatic control system is to be designed for such water tank using digital circuits. Two sensors, T and B, are deployed in the tank that detect whether the water is reached at certain level or not. Both sensors are identical and produce logic 1 when water touches them and produce logic 0 when water does not touch them. Sensor T is installed at the top of the tank and B at the bottom of tank. An electric motor pumps the water into the tank. Motor can be turned on and off by supplying logic 0 and logic 1, respectively. You are required to design a digital circuit using decoder that turns on electric motor when water level touches the sensor B. Motor should keep on running unless water level reaches the sensor T. After that, motor should stop running to avoid overflow of water. You are required to provide: i. Truth table of system. ii. Boolean function expression in SOP form. iii. Don’t care term, if any. iv. Logic diagram using a single 3x8 decoder (You cannot use any other decoder). v. Logic diagram using a 2*1 MUX (You cannot use any other mux)

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter13: Magnetic Induction
Section: Chapter Questions
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Imagine a water tank used to store water. An automatic control system is to be designed for such water tank using digital circuits. Two sensors, T and B, are deployed in the tank that detect whether the water is reached at certain level or not. Both sensors are identical and produce logic 1 when water touches them and produce logic 0 when water does not touch them. Sensor T is installed at the top of the tank and B at the bottom of tank.
An electric motor pumps the water into the tank. Motor can be turned on and off by supplying logic 0 and logic 1, respectively. You are required to design a digital circuit using decoder that turns on electric motor when water level touches the sensor B. Motor should keep on running unless water level reaches the sensor T. After that, motor should stop running to avoid overflow of water.
You are required to provide:
i. Truth table of system.
ii. Boolean function expression in SOP form.
iii. Don’t care term, if any.
iv. Logic diagram using a single 3x8 decoder (You cannot use any other decoder).
v. Logic diagram using a 2*1 MUX (You cannot use any other mux).

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