ThmDex – An index of mathematical definitions, results, and conjectures.
F3419
Formulation 0
Let $\mathbb{B} = \{ 0, 1 \}$ be the D217: Set of boolean numbers.
A D218: Boolean function $f : \mathbb{B} \times \mathbb{B} \to \mathbb{B}$ is a conditional basic boolean logic gate if and only if
(1) \begin{equation} f(0, 0) = 1 \end{equation}
(2) \begin{equation} f(1, 0) = 0 \end{equation}
(3) \begin{equation} f(0, 1) = 1 \end{equation}
(4) \begin{equation} f(1, 1) = 1 \end{equation}