Identify the logic operation performed by the given circuit.
- NAND
- NOR
- OR
- AND
The Correct Option is C
Approach Solution - 1
The given circuit consists of two NOT gates and one OR gate. To identify the logic operation, let's analyze the circuit step-by-step:
Each input (A and B) passes through a NOT gate. The function of a NOT gate is to invert the input signal.
- If A = 0, then after NOT, the output is 1.
- If B = 0, then after NOT, the output is 1.
- If A = 1, then after NOT, the output is 0.
- If B = 1, then after NOT, the output is 0.
The outputs of the NOT gates are then fed into an OR gate. The OR gate outputs 1 if at least one of its inputs is 1.
- For (A', B') = (0, 0), the OR gate output is 0.
- For (A', B') = (0, 1) or (1, 0) or (1, 1), the OR gate output is 1.
Combining these, we realize that the entire circuit performs an OR operation on the outputs of the NOT gates. Since the NOT gates invert A and B before passing to the OR gate, the final operation resembles an OR operation.
Therefore, the correct answer is OR.
Approach Solution -2
The circuit simplifies to:
\[ Y = \overline{\overline{A} \cdot \overline{B}} = \overline{\overline{A}} + \overline{\overline{B}} = A + B \]
(De-Morgan’s law)
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