Draw a switching circuit that represents the symbolic statement. (pv q) A (r V-s) Choose the correctly drawn circuit below. OA. O C. CHF Р P [] I S ... OB. D. P Dú r S q e
Draw a switching circuit that represents the symbolic statement. (pv q) A (r V-s) Choose the correctly drawn circuit below. OA. O C. CHF Р P [] I S ... OB. D. P Dú r S q e
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![**Title: Understanding Symbolic Logic Through Switching Circuits**
**Objective:**
Learn how to represent logical statements using electrical switching circuits.
**Logical Statement:**
\[
(p \lor q) \land (r \lor \sim s)
\]
This expression represents a logical function where \(p\) OR \(q\) must both be true AND either \(r\) OR NOT \(s\).
**Task:**
Choose the correctly drawn circuit that matches the symbolic statement above.
**Options:**
- **Option A:** Features two parallel sections. The left section contains open switches labeled \(p\) and \(q\) while the right section contains open switches labeled \(r\) and \(s\), all in series.
- **Option B:** Displays two parallel sections; the first has switches \(p\) and \(q\) in series, while the second contains switches \(r\) and \(s\), also in series.
- **Option C:** Features a single series circuit with open switches labeled \(p\), \(q\), \(r\), and \(s\), all lined up.
- **Option D:** Contains two sections in parallel; the left has a switch labeled \(p\), and the right contains \(r\), both in series with another set featuring switches \(q\) and \(s\) in parallel.
**Analysis:**
To fulfill the expression \((p \lor q) \land (r \lor \sim s)\), you need a circuit with:
1. \(p\) AND \(q\) in parallel.
2. \(r\) AND \(s\) in series but with an inverted connection for \(s\), which is reflected in logic by \(\sim s\) (i.e., a NOT gate).
**Conclusion:**
Examine each circuit option to determine which setup correctly represents this logical structure.
---
This educational guide helps visualize how symbolic logic can be translated into practical electrical circuits, enhancing comprehension of logical operations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dbe910a-0548-4393-97e4-b2099f203113%2F0839db0b-1397-41dc-93b8-15fbc73c291d%2F6iqnxm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Symbolic Logic Through Switching Circuits**
**Objective:**
Learn how to represent logical statements using electrical switching circuits.
**Logical Statement:**
\[
(p \lor q) \land (r \lor \sim s)
\]
This expression represents a logical function where \(p\) OR \(q\) must both be true AND either \(r\) OR NOT \(s\).
**Task:**
Choose the correctly drawn circuit that matches the symbolic statement above.
**Options:**
- **Option A:** Features two parallel sections. The left section contains open switches labeled \(p\) and \(q\) while the right section contains open switches labeled \(r\) and \(s\), all in series.
- **Option B:** Displays two parallel sections; the first has switches \(p\) and \(q\) in series, while the second contains switches \(r\) and \(s\), also in series.
- **Option C:** Features a single series circuit with open switches labeled \(p\), \(q\), \(r\), and \(s\), all lined up.
- **Option D:** Contains two sections in parallel; the left has a switch labeled \(p\), and the right contains \(r\), both in series with another set featuring switches \(q\) and \(s\) in parallel.
**Analysis:**
To fulfill the expression \((p \lor q) \land (r \lor \sim s)\), you need a circuit with:
1. \(p\) AND \(q\) in parallel.
2. \(r\) AND \(s\) in series but with an inverted connection for \(s\), which is reflected in logic by \(\sim s\) (i.e., a NOT gate).
**Conclusion:**
Examine each circuit option to determine which setup correctly represents this logical structure.
---
This educational guide helps visualize how symbolic logic can be translated into practical electrical circuits, enhancing comprehension of logical operations.
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