Question

Which logic gate is represented by the following combination of logic gates?

• A. NAND
• B. AND
• C. NOR
• D. OR

Hint:

When you see a combination of NOT gates followed by an AND gate, it typically represents a NAND gate because the NOT gates invert the inputs before performing the AND operation.

Answer 1

The Correct Option is A

Step 1: Circuit Overview - The circuit uses two
NOT gates and one
AND gate. - Input \( A \) goes through a
NOT gate, resulting in \( \overline{A} \). - Input \( B \) also goes through a
NOT gate, resulting in \( \overline{B} \). - The outputs \( \overline{A} \) and \( \overline{B} \) from the NOT gates are inputs to an
AND gate. - The AND gate's output is \( Y = \overline{A} \cdot \overline{B} \). Step 2: Gate Identification The circuit functions as a
NAND gate because the output \( Y \) is the inverse of the AND operation. This is equivalent to \( Y = \overline{A \cdot B} \), which defines a
NAND gate. Step 3: Answer The correct answer is: \[ \boxed{(A) \, \text{NAND}} \]