Let $\text{NAND} : \{ 0, 1 \} \times \{ 0, 1 \} \to \{ 0, 1 \}$ be a D3551: NAND boolean logic gate.
Let $x, y \in \{ 0, 1 \}$ each be a D1043: Boolean number.

Then

(1)	\begin{equation} \text{NAND} = 1 - \text{AND} (x, y) \end{equation}
(2)	\begin{equation} \text{NAND} = \text{NOT}(\text{AND}(x, y)) \end{equation}
(3)	\begin{equation} \text{NAND} = \text{XOR}(x, y) + \text{NOR}(x, y) \end{equation}