1. The problem is to find the values of the Boolean function $$f(x,y,z) = x' x y' y z' z$$ where $x', y', z'$ denote the complements of $x, y, z$ respectively. 2. Simplify the expression step-by-step: - Note that $x' x = 0$ because a variable AND its complement is always 0. - Similarly, $y' y = 0$ and $z' z = 0$. 3. Therefore, the function simplifies to: $$f(x,y,z) = 0 \cdot 0 \cdot 0 = 0$$ 4. This means the function is always 0 regardless of the values of $x, y,$ and $z$. Final answer: $$f(x,y,z) = 0$$