Step 1: Given Rows:
Inputs \((0,0)\) give output 1. Inputs \((1,0)\) give output 0.
Step 2: Check Each Gate:
NAND: \((0,0)\to1\) fits, but \((1,0)\to1\), which does not match.
OR: \((0,0)\to0\), which does not match.
NOR: \((0,0)\to1\) fits, and \((1,0)\to0\) fits.
XOR: \((0,0)\to0\), which does not match.
Step 3: Conclusion:
Only the NOR gate satisfies both rows. A NOR gate gives 1 only when both inputs are 0.
Final Answer:
The gate is a NOR gate, option (C).
\[ \boxed{\text{(C) NOR}} \]