Step 1: Test options
OR: output 1 when both are 1, which contradicts the statement. NAND: 1 for $(0,0)$, contradicts. NOR: 1 for $(0,0)$, contradicts.
Step 2: Result
Only XOR matches. Option (C).
Final Answer:
XOR.
\[ \boxed{\text{(C)}\ \text{X-OR}} \]