An air-conditioning unit is controlled by four variables: temperature T. humidity H, the time of the day D, and the day of the week W. The unit is turned on under any of the following circumstances. 1. The temperature exceeds 78° F, and the time of the day is between 8 a.m. and 5 2. The humidity exceeds 85%, the temperature exceeds 78°F, and the time of day is between 8 a.m. and 5 p.m. 3. The humidity exceeds 85%, the temperature exceeds 78°F, and it is a weekend. 4. It is Saturday or Sunday and humidity exceeds 85%. Write a logic expression for controlling the air-conditioning unit. Simplify the expression obtained as far as possible. p.m.

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
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Subject : boolean logic

An air-conditioning unit is controlled by four variables: temperature T.
humidity H, the time of the day D, and the day of the week W. The unit is turned on under
any of the following circumstances.
1. The temperature exceeds 78° F, and the time of the day is between 8 a.m. and 5 p.m
2. The humidity exceeds 85%, the temperature exceeds 78°F, and the time of day is
between 8 a.m. and 5 p.m.
3. The humidity exceeds 85%, the temperature exceeds 78°F, and it is a weekend.
4. It is Saturday or Sunday and humidity exceeds 85%.
Write a logic expression for controlling the air-conditioning unit. Simplify the expression
obtained as far as possible.
Transcribed Image Text:An air-conditioning unit is controlled by four variables: temperature T. humidity H, the time of the day D, and the day of the week W. The unit is turned on under any of the following circumstances. 1. The temperature exceeds 78° F, and the time of the day is between 8 a.m. and 5 p.m 2. The humidity exceeds 85%, the temperature exceeds 78°F, and the time of day is between 8 a.m. and 5 p.m. 3. The humidity exceeds 85%, the temperature exceeds 78°F, and it is a weekend. 4. It is Saturday or Sunday and humidity exceeds 85%. Write a logic expression for controlling the air-conditioning unit. Simplify the expression obtained as far as possible.
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