Please do #6
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please do #6

Transcribed Image Text:### Relay Logic for Boolean Expressions
Below are the Boolean expressions for which you need to draw the corresponding relay logic:
1. **Expression**: \( AB = X \)
2. **Expression**: \( A + B = X \)
3. **Expression**: \( \overline{A} = X \)
4. **Expression**: \( ABC = X \)
5. **Expression**: \( AB + CD = X \)
6. **Expression**: \( AB + \overline{A} = X \)
#### Detailed Explanation
1. **Expression**: \( AB = X \)
- This represents an AND operation between A and B. Both A and B need to be true for X to be true.
2. **Expression**: \( A + B = X \)
- This represents an OR operation between A and B. If either A or B is true, X will be true.
3. **Expression**: \( \overline{A} = X \)
- This represents a NOT operation on A. If A is true, X will be false, and if A is false, X will be true.
4. **Expression**: \( ABC = X \)
- This represents an AND operation between A, B, and C. All three need to be true for X to be true.
5. **Expression**: \( AB + CD = X \)
- This represents a combination of AND and OR operations. X will be true if both A and B are true, or if both C and D are true.
6. **Expression**: \( AB + \overline{A} = X \)
- This is a combination of AND, OR, and NOT operations. X will be true if both A and B are true, or if A is false.
#### Note:
Ensure to draw the relay logic circuits for each of the above Boolean expressions accurately to visualize how these logical operations can be implemented using relays.
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