Question

Identify the logic gate given in the circuit: 

 

• A. NAND gate
• B. OR gate
• C. AND gate
• D. NOR gate

Hint:

Applying De-Morgan’s theorem helps simplify logic expressions and identify equivalent gate functions in complex circuits.

Answer 1

The Correct Option is B

Step 1: {Circuit Analysis}
The circuit comprises NOT gates applied to inputs \( A \) and \( B \), with the outputs fed into an AND gate. 
Step 2: {Logical Expression Formulation} 
The output \( Y \) can be represented as: \[ Y = \overline{\overline{A} \cdot \overline{B}} \] Utilizing De-Morgan's theorem, this simplifies to: \[ Y = A + B \] 
Step 3: {Final Determination} 
The derived expression \( Y = A + B \) corresponds to the behavior of an OR gate. Therefore, option (B) is the correct selection.