On the sparsity of binary numbers
Discrete Mathematics
2024-10-15 v1
Abstract
We introduce the concept of negative coefficients in various number-based systems, with a focus on decimal and binary systems. We demonstrate that every binary number can be transformed into a sparse form, significantly enhancing computational speed by converting binary numbers into this form.
Cite
@article{arxiv.2410.10620,
title = {On the sparsity of binary numbers},
author = {Meijun Zhu},
journal= {arXiv preprint arXiv:2410.10620},
year = {2024}
}
Comments
4 pages. While it is not directly within my original research focus on PDEs, it is connected to areas of Math education and computational efficiency