A lawn-sprinkling system is controlled automatically by certain combinations of the following variables. Season (S = 1, if summer; 0, otherwise) Moisture content of soil (M = 1, if high; 0, if low) Outside temperature (T = 1, if high; 0, if low) Outside humidity (H = 1, if high; 0, if low) The sprinkler is turned on under any of the following circumstances. 1. The moisture content is low in winter. 2. The temperature is high and the moisture content is low in summer. 3. The temperature is high and the humidity is high in summer. 4. The temperature is low and the moisture content is low in summer. 5. The temperature is high and the humidity is low. Use a K-map to find the simplest possible logic expression involving the variables S, M, T and H for turning on the sprinkler system.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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T T e P T M SOTUPY EROUREO- B, N EXAMPLE 7.28 A lawn-sprinkling system is controlled automatically by certain combinations of the following variables. Season (S = 1, if summer; 0, otherwise) Moisture content of soil (M = 1, if high; 0, if low) Outside temperature (T = 1, if high; 0, if low) Outside humidity (H = 1, if high; 0, if low) The sprinkler is turned on under any of the following circumstances. 1. The moisture content is low in winter. 2. The temperature is high and the moisture content is low in summer. 3. The temperature is high and the humidity is high in summer. 4. The temperature is low and the moisture content is low in summer. 5. The temperature is high and the humidity is low. Use a K-map to find the simplest possible logic expression involving the variables S, M, T and H for turning on the sprinkler system.
EXAMPLE 7.28
A lawn-sprinkling system is controlled automatically by certain
combinations of the following variables.
Season (S = 1, if summer; 0, otherwise)
Moisture content of soil (M = 1, if high; 0, if low)
Outside temperature (T = 1, if high; 0, if low)
AOutside humidity (H = 1, if high; 0, if low)
The sprinkler is turned on under any of the following circumstances.
e 1. The moisture content is low in winter.
2. The temperature is high and the moisture content is low in summer.
3. The temperature is high and the humidity is high in summer.
4. The temperature is low and the moisture content is low in summer.
5. The temperature is high and the humidity is low.
Use a K-map to find the simplest possible logic expression involving the variables S, M, T
and H for turning on the sprinkler system.
Transcribed Image Text:EXAMPLE 7.28 A lawn-sprinkling system is controlled automatically by certain combinations of the following variables. Season (S = 1, if summer; 0, otherwise) Moisture content of soil (M = 1, if high; 0, if low) Outside temperature (T = 1, if high; 0, if low) AOutside humidity (H = 1, if high; 0, if low) The sprinkler is turned on under any of the following circumstances. e 1. The moisture content is low in winter. 2. The temperature is high and the moisture content is low in summer. 3. The temperature is high and the humidity is high in summer. 4. The temperature is low and the moisture content is low in summer. 5. The temperature is high and the humidity is low. Use a K-map to find the simplest possible logic expression involving the variables S, M, T and H for turning on the sprinkler system.
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