Step 1: Understanding the Concept
Compare the output column with the standard gate tables. The output here is 1 for inputs 00, 10 and 01, and 0 for input 11.
Step 2: Identify the gate
An AND gate gives 1 only for input 11. The given table is exactly the opposite, so it is the AND gate followed by a NOT gate.
Step 3: Result
AND followed by NOT is a NAND gate, \(Y=\overline{A\cdot B}\).
Final Answer:
The truth table belongs to a NAND gate, which is option (A).
\[ \boxed{\text{(A) }\text{NAND gate}} \]