Question

Identify the logic operation performed by the following circuit. 
 

• A. OR
• B. AND
• C. NOT
• D. NAND

Hint:

Logic circuits can be reduced systematically using Boolean algebra to identify their equivalent gates.

Answer 1

The Correct Option is B

Step 1: {Understanding the Logic Circuit} 
The circuit consists of two NOR gates whose outputs are given as inputs to another NOR gate. 
Step 2: {Boolean Expression} 
Using De-Morgan’s theorem: \[ Y = \overline{\overline{A} + \overline{B}} \] \[ = A \cdot B \] 
Step 3: {Conclusion} 
The circuit implements an AND gate. Thus, the correct answer is (B). 
 

Answer 2

Step 1: Analyze the First OR Gate
The top gate is an OR gate with both inputs connected to \( A \). Therefore, its output is: \[ A + A = A \]

Step 2: Analyze the Second OR Gate
The bottom gate is also an OR gate with both inputs connected to \( B \). So, its output is: \[ B + B = B \]

Step 3: Final AND Gate
The outputs from the two OR gates (which are just \( A \) and \( B \)) are then fed into an AND gate: \[ Y = A \cdot B \]

Final Result:
The circuit performs the AND operation: \[ \boxed{Y = A \cdot B} \]