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Assignment 7 solutions

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Karnaugh Map for "b"

Truth Table

BA

DC

BA

BA

DC

DC

BA

BA

DC

DC

C'+A'B'+AB

Karnaugh Map for "f"

Truth Table

BA

DC

BA

BA

DC

DC

D

B'A'

BA

BA

DC

DC

B'C

A'C

BA

BA

DC

DC

B'C+A'C+B'A'+D

A water purification plant uses one tank for chemical sterilization and a second, larger tank for settling and aeration. Each tank is equipped with two sensors that measure the height of water in each tank and the flow rate of water into each tank. When the height or the flow rate of water is too high, the sensors produce a logic high output. Design a logic circuit that sounds an alarm whenever the height of water in both tanks is too high and either of the flow rates is too high, or whenever both flow rates are too high and the height of water in either tank is too high

BfBh

AfAh

AfAhBh+ AfAhBf+ BfBhAf+ BfBhAh

AfAh(Bf+Bh) + BfBh(Af+Ah)

A water purification plant uses one tank for chemical sterilization and a second, larger tank for settling and aeration. Each tank is equipped with two sensors that measure the height of water in each tank and the flow rate of water into each tank. When the height or the flow rate of water is too high, the sensors produce a logic high output. Design a logic circuit that sounds an alarm whenever the height of water in both tanks is too high and either of the flow rates is too high, or whenever both flow rates are too high and the height of water in either tank is too high

AfAh(Bf+Bh)

AfAh(Bf+Bh) + BfBh(Af+Ah)

BfBh(Af+Ah)