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Discrete Mathematics with Applications | 4th Edition | ISBN: 9780495391326 | Authors: Susanna S. Epp
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An alarm system has three different control panels in

Chapter 2, Problem 25E

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QUESTION:

Problem 25E

An alarm system has three different control panels in three different locations. To enable the system, switches in at least two of the panels must be in the on position. If fewer than two are in the on position, the system is disabled. Design a circuit to control the switches.

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QUESTION:

Problem 25E

An alarm system has three different control panels in three different locations. To enable the system, switches in at least two of the panels must be in the on position. If fewer than two are in the on position, the system is disabled. Design a circuit to control the switches.

ANSWER:

Solution:-

Step1

Given that

We have to design a circuit to control the switches.An alarm system has three different control panels in three different locations and to enable the system, switches in at least two of the panels must be in the on position. If fewer than two are in the on position, the system is disabled.

Step2

Suppose the switch being on is represented by 1 and switch being off is 0.

We know that the alarm is enabled only if at least two switches are on.Hence, the alarm will remain enabled .

Step3

Table for input/output

A

B

C

Alarm

1

1

1

1

0

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