(iv) A logic circuit is required to control the water pump of an automatically- filled water tank as shown in Figure 1.2. The circuit output C is to turn the pump ON (Logic 1), or OFF (Logic 0). Sensors A and B detect the water level. The pump is turned ON if the water level falls below switch A (Logic 0), OR switch B (Logic 0), provided the pressure sensor P is High (Logic 1, i.e., there is water in the pipe). The pump must be turned OFF if the water level reaches switch A (Logic 1). Pump Water in A Logic Circuit B Water out Figure 1.2 (a) Draw and fill in the truth table of the logic circuit required. Briefly explain your design. (b) Write down the Boolean expression of the circuit. Simplify the Boolean expression if needed. (c) Draw a circuit diagram implementing the Boolean expression in (b) using only NAND or NOR gates, or both.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Q1
(iv)
A logic circuit is required to control the water pump of an automatically-
filled water tank as shown in Figure 1.2. The circuit output C is to turn the
pump ON (Logic 1), or OFF (Logic 0). Sensors A and B detect the water
level. The pump is turned ON if the water level falls below switch A
(Logic 0), OR switch B (Logic 0), provided the pressure sensor P is High
(Logic 1, i.e., there is water in the pipe). The pump must be turned OFF if
the water level reaches switch A (Logic 1).
Pump
Water in
A
Logic
Circuit
C
Water out
Figure 1.2
(a)
Draw and fill in the truth table of the logic circuit required. Briefly
explain your design.
(b)
Write down the Boolean expression of the circuit. Simplify the
Boolean expression if needed.
(c)
Draw a circuit diagram implementing the Boolean expression in (b)
using only NAND or NOR gates, or both.
Transcribed Image Text:Q1 (iv) A logic circuit is required to control the water pump of an automatically- filled water tank as shown in Figure 1.2. The circuit output C is to turn the pump ON (Logic 1), or OFF (Logic 0). Sensors A and B detect the water level. The pump is turned ON if the water level falls below switch A (Logic 0), OR switch B (Logic 0), provided the pressure sensor P is High (Logic 1, i.e., there is water in the pipe). The pump must be turned OFF if the water level reaches switch A (Logic 1). Pump Water in A Logic Circuit C Water out Figure 1.2 (a) Draw and fill in the truth table of the logic circuit required. Briefly explain your design. (b) Write down the Boolean expression of the circuit. Simplify the Boolean expression if needed. (c) Draw a circuit diagram implementing the Boolean expression in (b) using only NAND or NOR gates, or both.
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