For a two input logic gate, when the inputs are 'zero' and 'zero' the output is 'one'. When the inputs are 'one' and 'zero' the output is 'zero'. The type of logic gate is

Let the inputs be $A$ and $B$, and the output be $Y$.

Given conditions:
When $A = 0$ and $B = 0$, $Y = 1$.
When $A = 1$ and $B = 0$, $Y = 0$.

Checking the given options:
For a NAND gate: $Y = \overline{A \cdot B}$. If $A = 1, B = 0$, $Y = \overline{0} = 1$. This does not match.
For an OR gate: $Y = A + B$. If $A = 0, B = 0$, $Y = 0$. This does not match.
For a NOR gate: $Y = \overline{A + B}$. If $A = 0, B = 0$, $Y = \overline{0} = 1$. If $A = 1, B = 0$, $Y = \overline{1} = 0$. This matches both conditions.
For an XOR gate: $Y = A \oplus B$. If $A = 0, B = 0$, $Y = 0$. This does not match.

Therefore, the logic gate is a NOR gate.

Answer: NOR