Concept:
The oxidation state of the central metal atom in a coordination compound depends on the charges of the ligands and the overall charge of the complex.
Carbon monoxide (\(CO\)) is a neutral ligand, meaning it contributes no charge.
Step 1: Write the charge balance equation.
Let the oxidation state of Nickel be \(x\).
\[
x + 4(0) = 0
\]
since each \(CO\) ligand has zero charge and the complex is neutral.
Step 2: Solve for \(x\).
\[
x = 0
\]
Thus, the oxidation state of Nickel is 0.