Definition:Number Base/Integer Part

Definition
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.

Also known as
The integer part of a real number can also be seen as integral part, but this can be confused by unwary readers with the concept of integration.