AND boolean logic gate

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AND boolean logic gate

Formulation 0

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}

Formulation 1

A D218: Boolean function $f : \{ 0, 1 \} \times \{ 0, 1 \} \to \{ 0, 1 \}$ 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}

Also known as

Conjunctional boolean logic gate

Results