Contents

Contents

Definition

A dyadic rational number is a rational number $r \in \mathbb{Q}$ such that the following equivalent conditions hold

1. the binary expansion of $r$ has finitely many digits;

2. there exists $n,a \in \mathbb{N}$ such that $r = \frac{a}{2^n}$.

The commutative ring of dyadic rational numbers $\mathbb{Z}[1/2]$ is the localization of the integers $\mathbb{Z}$ away from $2$.

References

Last revised on June 18, 2021 at 20:05:16. See the history of this page for a list of all contributions to it.