Q1 a) A museum has three rooms, each with a motion sensor (X, Y, and Z) that outputs 1 when motion is detected. At night, the only person in the museum is one security guard who walks from room to room. Create a security system with a control signal S. When S = 1, the system is activated, and if S = 0, the system is deactivated. When the security system is activated, an alarm will be triggered (by setting an output A to 1) if motion is detected in more than one room at a time, indicating another person (an intruder) is in the museum. Select the correct Boolean equation for this system. Answer is A = SYZ + SXZ+ SXY b) Given the following Boolean equation, please work out and select its complement Boolean equation. F(x, y, z) = (x + y + z)(x + y)(x + z) Answer is F = x y z +x • y + x • z x.y⋅z+x
Q1 a) A museum has three rooms, each with a motion sensor (X, Y, and Z) that outputs 1 when motion is detected. At night, the only person in the museum is one security guard who walks from room to room. Create a security system with a control signal S. When S = 1, the system is activated, and if S = 0, the system is deactivated. When the security system is activated, an alarm will be triggered (by setting an output A to 1) if motion is detected in more than one room at a time, indicating another person (an intruder) is in the museum. Select the correct Boolean equation for this system. Answer is A = SYZ + SXZ+ SXY b) Given the following Boolean equation, please work out and select its complement Boolean equation. F(x, y, z) = (x + y + z)(x + y)(x + z) Answer is F = x y z +x • y + x • z x.y⋅z+x
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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how to solve both parts with working
![Q1
a) A museum has three rooms, each with a motion sensor (X, Y, and Z) that outputs 1 when
motion is detected. At night, the only person in the museum is one security guard who walks
from room to room. Create a security system with a control signal S. When S = 1, the system is
activated, and if S = 0, the system is deactivated. When the security system is activated, an
alarm will be triggered (by setting an output A to 1) if motion is detected in more than one room
at a time, indicating another person (an intruder) is in the museum. Select the correct Boolean
equation for this system.
Answer is A = SYZ + SXZ+ SXY
b) Given the following Boolean equation, please work out and select its complement Boolean
equation.
F(x, y, z) = (x + y + z)(x + y)(x + z)
Answer is
F = x y z +x • y + x • z
x.y⋅z+x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7912362-195e-4ab5-9ace-9dd5581a1ab8%2F99c4ad1d-6db4-4632-b7ef-5377d471cfc3%2Fqc462n_processed.png&w=3840&q=75)
Transcribed Image Text:Q1
a) A museum has three rooms, each with a motion sensor (X, Y, and Z) that outputs 1 when
motion is detected. At night, the only person in the museum is one security guard who walks
from room to room. Create a security system with a control signal S. When S = 1, the system is
activated, and if S = 0, the system is deactivated. When the security system is activated, an
alarm will be triggered (by setting an output A to 1) if motion is detected in more than one room
at a time, indicating another person (an intruder) is in the museum. Select the correct Boolean
equation for this system.
Answer is A = SYZ + SXZ+ SXY
b) Given the following Boolean equation, please work out and select its complement Boolean
equation.
F(x, y, z) = (x + y + z)(x + y)(x + z)
Answer is
F = x y z +x • y + x • z
x.y⋅z+x
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