## Description Describing base-10 numbers in binary format provides some challenges at the most accurate level. ### Problems | Fraction | Base | Positional Notation | Rounded to 4 digits | Rounded value as a fraction | Rounding Error | | --- | --- | --- | --- | --- | --- | | 1/10 | 10 | 0.1 | 0.1 | 1/10 | 0 | | 1/3 | 10 | 0.3 (repeating) | 0.3333 | 3333/10000 | 1/30000 | 1/2 | 2 | 0.1 | 0.1 | 1/2 | 0 | |1/10 | 2 | 0.00011 (repeating 0011) | 0.0001 | 1/16 | 3/80 | ## References - [What Every Computer Scientist Should Know About Floating-Point Arithmetic - Oracle](https://docs.oracle.com/cd/E19957-01/806-3568/ncg_goldberg.html) - [What Every Programmer Should Know About Floating-Point Arithmetic - Floating Point GUI](https://floating-point-gui.de)