Question:
To get an output Y = 1 in the given logic circuit, the correct choice for the input is
To get an output Y = 1 in the given logic circuit, the correct choice for the input is
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- Convert circuit into Boolean expression
- Output = 1 only when all required conditions are satisfied
Updated On: May 4, 2026
- A = 1, B = 1, C = 1
- A = 1, B = 1, C = 0
- A = 1, B = 0, C = 1
- A = 0, B = 1, C = 1
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The Correct Option is C
Solution and Explanation
Concept:
Evaluate logic circuit step-by-step using truth values of gates (AND, OR, NOT).
Step 1: Analyze circuit.
The circuit effectively represents: \[ Y = A \cdot \overline{B} \cdot C \]
Step 2: Condition for output 1.
• $A = 1$
• $B = 0 \Rightarrow \overline{B} = 1$
• $C = 1$
Step 3: Final combination.
\[ (A,B,C) = (1,0,1) \]
Step 1: Analyze circuit.
The circuit effectively represents: \[ Y = A \cdot \overline{B} \cdot C \]
Step 2: Condition for output 1.
• $A = 1$
• $B = 0 \Rightarrow \overline{B} = 1$
• $C = 1$
Step 3: Final combination.
\[ (A,B,C) = (1,0,1) \]
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