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).

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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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.

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