Question:
Identify the correct symbolic representation for the circuit provided in the image.
Identify the correct symbolic representation for the circuit provided in the image.
Show Hint
Flow through circuit: Must pass through $p$, then through either $q$ or $r$.
Updated On: Apr 26, 2026
- p $\wedge$ (q $\vee$ r)
- q $\vee$ r
- p
- ($\sim$ q $\wedge \sim$ r)
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The Correct Option is A
Solution and Explanation
Step 1: Analyze Diagram
The switch $p$ is in the main line. Then the path splits into two branches containing $q$ and $r$.
Step 2: Translate to Logic
Series components are connected by $\wedge$. Parallel components are connected by $\vee$.
The structure is $p$ AND ($q$ OR $r$).
Step 3: Formulate
Symbolic form: $p \wedge (q \vee r)$.
Final Answer: (A)
The switch $p$ is in the main line. Then the path splits into two branches containing $q$ and $r$.
Step 2: Translate to Logic
Series components are connected by $\wedge$. Parallel components are connected by $\vee$.
The structure is $p$ AND ($q$ OR $r$).
Step 3: Formulate
Symbolic form: $p \wedge (q \vee r)$.
Final Answer: (A)
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