Question 1: In planet Z, there have been two new outbreaks of Disease X and Disease Y. You have been tasked with creating a system which will detect the presence of Diseases X and Y. A person may have no disease or any one of the diseases or both. The presence of the diseases will depend on the following symptoms: 1. Inputs (Symptoms) : A: Breathing Difficulties. (A=1 if you have breathing difficulties, A=0 otherwise) B: Normal Body Temperature (B=1 if you have a normal body temperature, B=0 otherwise) C: Fatigue (C=1 if you have fatigue, C=0 otherwise) D:Loss of smell (D= 1 if the person has lost his ability of smell, D=0 otherwise) Outputs: X: Disease X Y: Disease Y 1. You have Disease X if your fatigue is accompanied by i) breathing difficulties with normal body temperature or ii) no loss of smell. 2. If you don't have fatigue then you will have Disease X if you have i) an abnormal body temperature or ii) you have loss of smell with no breathing difficulties 3. If you don't have a normal body temperature or you have lost your sense of smell with no breathing difficulties then you have Disease Y. Devise a truth table for the system above which will detect the presence of the diseases based on the given symptoms. In your truth table, the input columns should be in the order ABCD, where A is the MSB and D is the LSB.
Question 1: In planet Z, there have been two new outbreaks of Disease X and Disease Y. You have been tasked with creating a system which will detect the presence of Diseases X and Y. A person may have no disease or any one of the diseases or both. The presence of the diseases will depend on the following symptoms: 1. Inputs (Symptoms) : A: Breathing Difficulties. (A=1 if you have breathing difficulties, A=0 otherwise) B: Normal Body Temperature (B=1 if you have a normal body temperature, B=0 otherwise) C: Fatigue (C=1 if you have fatigue, C=0 otherwise) D:Loss of smell (D= 1 if the person has lost his ability of smell, D=0 otherwise) Outputs: X: Disease X Y: Disease Y 1. You have Disease X if your fatigue is accompanied by i) breathing difficulties with normal body temperature or ii) no loss of smell. 2. If you don't have fatigue then you will have Disease X if you have i) an abnormal body temperature or ii) you have loss of smell with no breathing difficulties 3. If you don't have a normal body temperature or you have lost your sense of smell with no breathing difficulties then you have Disease Y. Devise a truth table for the system above which will detect the presence of the diseases based on the given symptoms. In your truth table, the input columns should be in the order ABCD, where A is the MSB and D is the LSB.
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
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:Question 1:
In planet Z, there have been two new outbreaks of Disease X and Disease Y. You have been
tasked with creating a system which will detect the presence of Diseases X and Y. A person
may have no disease or any one of the diseases or both. The presence of the diseases will
depend on the following symptoms:
1. Inputs (Symptoms) :
A: Breathing Difficulties. (A=1 if you have breathing difficulties,
A=0 otherwise)
B: Normal Body Temperature (B=1 if you have a normal body
temperature, B=0 otherwise)
C: Fatigue (C=1 if you have fatigue, C=0 otherwise)
D:Loss of smell (D= 1 if the person has lost his ability of smell,
D=0 otherwise)
Outputs: X: Disease X
Y: Disease Y
1. You have Disease X if your fatigue is accompanied by
i) breathing difficulties with normal body temperature
or
ii) no loss of smell.
2. If you don't have fatigue then you will have Disease X if you have
i) an abnormal body temperature
or
ii) you have loss of smell with no breathing difficulties
3. If you don't have a normal body temperature or you have lost your sense of
smell with no breathing difficulties then you have Disease Y.
Devise a truth table for the system above which will detect the presence of the diseases based
on the given symptoms. In your truth table, the input columns should be in the order
ABCD, where A is the MSB and D is the LSB.
Draw K-map (s) based on the scenario above and derive simplified output (s).
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