Question

Boolean expression of NAND gate is

• A. \( A . B = Y \)
• B. \( A + B = Y \)
• C. \( A . B = Y \)
• D. \( A + B = Y \)

Hint:

For NAND gates, the output is the complement of the AND gate. The Boolean expression is \( \overline{A . B} \).

Answer 1

The Correct Option is A

Step 1: NAND gate logic.
A NAND gate is a NOT AND gate, meaning it outputs the opposite of an AND gate. The boolean expression for an AND gate is: \[ A . B = Y \] The NOT operation is then applied to this output. Thus, the Boolean expression for the NAND gate is: \[ \overline{A . B} = Y \] Step 2: Conclusion.
Hence, the correct Boolean expression for a NAND gate is \( \overline{A . B} \), which simplifies to \( A . B = Y \).
\[ \boxed{A . B = Y} \]