\begin{definition}[Definition:Number Base/Integer Part]
Let $x \in \R$ be a real number such that $x \ge 0$.
Let $b \in \N: b \ge 2$.
In the basis expansion:
:$x = \left[{r_m r_{m-1} \ldots r_2 r_1 r_0 . d_1 d_2 d_3 \ldots}\right]_b$
the part $r_m r_{m-1} \ldots r_2 r_1 r_0$ is known as the '''integer part'''.
\end{definition}