ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
▼ Set
▼ Collection of sets
▼ Set union
▼ Successor set
▼ Inductive set
▼ Set of inductive sets
▼ Set of natural numbers
▼ Set of integers
▼ Integer
▼ Integer base-2 representation
▼ N-bit integer
Definition D6268
64-bit integer
Formulation 0
An D995: Integer $a \in \mathbb{Z}$ is a 64-bit integer if and only if \begin{equation} \exists \, r_0, r_1, \ldots, r_{63} \in \{ 0, 1 \} : a = - r_{63} 2^{63} + \sum_{n = 0}^{62} r_n 2^n \end{equation}