Question

The output Y for the inputs A and B of the given logic circuit is :

• A. A ⋅ B
• B. \(\bar{A}\cdot \bar{B}\)
• C. A + B
• D. \(\bar{A} + \bar{B}\)

Answer 1

The Correct Option is C

The given logic circuit consists of two NOT gates and one OR gate. Let's analyze the circuit step by step to determine the output \( Y \) for inputs \( A \) and \( B \).

1. Understanding the Circuit:
   • There are two inputs: \( A \) and \( B \).
   • Both inputs pass through NOT gates. The NOT gate inverts the input.
   • The outputs of the NOT gates are \(\bar{A}\) and \(\bar{B}\).
   • These inverted outputs are then fed into an OR gate.
2. Output of the OR Gate:
   • The OR gate gives a TRUE output if any of its inputs is TRUE. Thus, the output of the OR gate is \(\bar{A} + \bar{B}\).
3. Matching the Output with the Given Options:
   • The output formula \(\bar{A} + \bar{B}\) matches option \((\bar{A} + \bar{B})\).
   • Therefore, the correct answer is \(\bar{A} + \bar{B}\).

The given circuit implements the NOR operation. However, the correct output mentioned in the question seems to be mismatched. Based on the circuit, the correct output should be \(\bar{A} + \bar{B}\), which implies this question might contain a framing issue. Always ensure to verify such answers with the actual implementation.