An industrial soft drink production plant needs to implement a quality control system for its bottling line. The system must monitor four critical parameters and activate different alarms depending on the conditions detected. It is required to design a digital circuit with 4 inputs and 3 outputs for this purpose. Inputs: A: Carbonation level (0 = normal, 1 = high) B: Liquid temperature (0 = normal, 1 = elevated) C: Line pressure (0 = normal, 1 = low) D: Filling speed (0 = normal, 1 = low) Outputs: X: Minor adjustment alarm (triggered when an odd number of parameters are out of range) Y: Major revision alarm (triggered when at least three parameters are out of range) Z: Adjacent parameters alarm (triggered when exactly two adjacent parameters are out of range System requirements: 1. The minor adjustment alarm (X) should activate when an odd number of parameters are out of range, indicating the need to make minor adjustments to the process. 2. The major overhaul alarm (Y) should activate when three or more parameters are out of range, signaling the need for a complete system overhaul. 3. The adjacent parameter alarm (Z) should be activated when exactly two adjacent parameters in the sequence A-B-C-D are out of range, which could indicate a localized problem in a specific part of the process. 4. Design the logic circuit for this control system using Karnaugh maps to simplify the Boolean functions of each output. The final design must be efficient and use as few logic gates as possible.

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An industrial soft drink production plant needs to implement a quality control system for its bottling
line. The system must monitor four critical parameters and activate different alarms depending on
the conditions detected. It is required to design a digital circuit with 4 inputs and 3 outputs for this
purpose.
Inputs:
A: Carbonation level (0 = normal, 1 = high)
B: Liquid temperature (0 = normal, 1 = elevated)
C: Line pressure (0 = normal, 1 = low)
D: Filling speed (0 = normal, 1 = low)
Outputs:
X: Minor adjustment alarm (triggered when an odd number of parameters are out of range)
Y: Major revision alarm (triggered when at least three parameters are out of range)
Z: Adjacent parameters alarm (triggered when exactly two adjacent parameters are out of range
System requirements:
1. The minor adjustment alarm (X) should activate when an odd number of parameters are out of
range, indicating the need to make minor adjustments to the process.
2. The major overhaul alarm (Y) should activate when three or more parameters are out of range,
signaling the need for a complete system overhaul.
3. The adjacent parameter alarm (Z) should be activated when exactly two adjacent parameters in
the sequence A-B-C-D are out of range, which could indicate a localized problem in a specific part
of the process.
4. Design the logic circuit for this control system using Karnaugh maps to simplify the Boolean
functions of each output. The final design must be efficient and use as few logic gates as possible.
Transcribed Image Text:An industrial soft drink production plant needs to implement a quality control system for its bottling line. The system must monitor four critical parameters and activate different alarms depending on the conditions detected. It is required to design a digital circuit with 4 inputs and 3 outputs for this purpose. Inputs: A: Carbonation level (0 = normal, 1 = high) B: Liquid temperature (0 = normal, 1 = elevated) C: Line pressure (0 = normal, 1 = low) D: Filling speed (0 = normal, 1 = low) Outputs: X: Minor adjustment alarm (triggered when an odd number of parameters are out of range) Y: Major revision alarm (triggered when at least three parameters are out of range) Z: Adjacent parameters alarm (triggered when exactly two adjacent parameters are out of range System requirements: 1. The minor adjustment alarm (X) should activate when an odd number of parameters are out of range, indicating the need to make minor adjustments to the process. 2. The major overhaul alarm (Y) should activate when three or more parameters are out of range, signaling the need for a complete system overhaul. 3. The adjacent parameter alarm (Z) should be activated when exactly two adjacent parameters in the sequence A-B-C-D are out of range, which could indicate a localized problem in a specific part of the process. 4. Design the logic circuit for this control system using Karnaugh maps to simplify the Boolean functions of each output. The final design must be efficient and use as few logic gates as possible.
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