# Talk:Finite Arithmetic

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*This page is just a skelleton. I will add content as time permits. The main purpose of putting this up is to define what goes where in the track Numerical Algorithms.*

## Goals[edit source]

After finishing this course, students should:

- Know how floating-point numbers are represented, specifically as defined by IEEE 754.
- Know what eps, realmin, realmax and denormalized numbers are.
- Know the common problems in using finite-precision arithmetic and know how to avoid them when possible.

## Take-Home Message[edit source]

- Numbers have a finite
*relative*precision. - Floating-Point numbers may cause
*avoidable*errors. - Special care has to be taken to avoid such errors.