ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F13360 on D6265: 8-bit integer
F13360
Formulation 3
An D995: Integer $a \in \mathbb{Z}$ is an 8-bit integer if and only if \begin{equation} \exists \, r_0, r_1, \ldots, r_7 \in \{ 0, 1 \} : a = r_0 + 2 r_1 + 4 r_2 + 8 r_3 + 16 r_4 + 32 r_5 + 64 r_6 - 128 r_7 \end{equation}