A D218: Boolean function $f : \mathbb{B} \times \mathbb{B} \to \mathbb{B}$ is an AND boolean logic gate if and only if

(1)	\begin{equation} f(0, 0) = 0 \end{equation}
(2)	\begin{equation} f(1, 0) = 0 \end{equation}
(3)	\begin{equation} f(0, 1) = 0 \end{equation}
(4)	\begin{equation} f(1, 1) = 1 \end{equation}