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A problem detector system produces an alarm in the factory when one of the three conditions occurs. The system is designed as such tha only one condition can occur at a time. If the three conditions are defined as q, r, and s respectively, the output logic for the system is given as
  • a)
    q̅rs + r̅ s̅ 
  • b)
    qr̅ s̅ + q̅sr̅ + q̅rs̅ 
  • c)
    qrs̅ + r̅ 
  • d)
    q + r + s
Correct answer is option 'B'. Can you explain this answer?
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A problem detector system produces an alarm in the factory when one of...
Problem:
A problem detector system in a factory produces an alarm when one of the three conditions occurs. The conditions are defined as q, r, and s, and only one condition can occur at a time. The output logic for the system is given as:

a) qrs rs
b) qr s qsr qrsc
c) qrs r
d) q r s

Solution:
To determine the correct output logic for the problem detector system, we need to analyze the given options and understand their meanings.

Option A: qrs rs
This option suggests that the output logic is qrs when condition r occurs, and the output logic is rs when condition s occurs. However, the problem states that only one condition can occur at a time, so this option does not satisfy the given requirements.

Option B: qr s qsr qrsc
This option suggests that the output logic is qr when condition s occurs, the output logic is qsr when condition r occurs, and the output logic is qrsc when condition q occurs. Since only one condition can occur at a time, this option satisfies the given requirements.

Option C: qrs r
This option suggests that the output logic is qrs when condition r occurs. However, the problem states that only one condition can occur at a time, so this option does not satisfy the given requirements.

Option D: q r s
This option suggests that the output logic is q, r, and s when each condition occurs independently. However, the problem states that only one condition can occur at a time, so this option does not satisfy the given requirements.

Conclusion:
After analyzing the given options, we can conclude that the correct output logic for the problem detector system is Option B: qr s qsr qrsc. This option satisfies the requirement that only one condition can occur at a time, and it provides a logical output for each condition individually.
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Community Answer
A problem detector system produces an alarm in the factory when one of...
Concept:
K maps
This is a table that represents both minterms and max terms in it and it is used for the simplification of the boolean algebraic expressions easily.
For an 'n' variable k-map total 2n cells will be present in it.
The different k-maps structures are shown below:
2 variable k-map

3 variable k-map
Calculation:
  • Given conditions for the system are
  • A problem detector system produces an alarm in the factory when one of the three conditions occurs.
  • The system is designed as such only one condition can occur at a time.
  • conditions are defined as q, r, and s
The truth table is shown as:

The output function minterms according to the truth table are:
output = ∑ (1, 2, 4)
k-map for the circuit is:

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A problem detector system produces an alarm in the factory when one of the three conditions occurs. The system is designed as such tha only one condition can occur at a time. If the three conditions are defined as q, r, and s respectively, the output logic for the system is given asa)qrs + r sb)qr s + qsr + qrsc)qrs + rd)q + r + sCorrect answer is option 'B'. Can you explain this answer?
Question Description
A problem detector system produces an alarm in the factory when one of the three conditions occurs. The system is designed as such tha only one condition can occur at a time. If the three conditions are defined as q, r, and s respectively, the output logic for the system is given asa)qrs + r sb)qr s + qsr + qrsc)qrs + rd)q + r + sCorrect answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A problem detector system produces an alarm in the factory when one of the three conditions occurs. The system is designed as such tha only one condition can occur at a time. If the three conditions are defined as q, r, and s respectively, the output logic for the system is given asa)qrs + r sb)qr s + qsr + qrsc)qrs + rd)q + r + sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A problem detector system produces an alarm in the factory when one of the three conditions occurs. The system is designed as such tha only one condition can occur at a time. If the three conditions are defined as q, r, and s respectively, the output logic for the system is given asa)qrs + r sb)qr s + qsr + qrsc)qrs + rd)q + r + sCorrect answer is option 'B'. Can you explain this answer?.
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