From Quanta Magazine (find original story here). In 1847, Gabriel Lamé proved Fermat’s Last Theorem. Or so he thought. Lamé was a French mathematician who had made many important discoveries. In March ...

The residue number system (RNS) offers a revolutionary approach to digital signal processing by enabling parallel, carry‐free arithmetic operations that are particularly suited to high‐speed ...

In positional systems, as mentioned earlier, the number represented is multiplied by the base each time you move to the left of a position and is always divided by the base each time you move to the ...

Binary multiplication can be attained in a similar fashion to multiplying decimal values. Using the long multiplication method, like for example by multiplying each digit in turn, and then adding the ...

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...

Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems. It’s one thing to turn a cartwheel in an open field. It’s ...

The residue number system (RNS) has emerged as a robust alternative to conventional binary arithmetic, offering significant advantages through its inherent parallelism. By representing numbers as a ...

The natives of a remote Polynesian Island invented a binary number system, similar to the one used by computers to calculate, centuries before Western mathematicians did, new research suggests. The ...

The My Number system may be one of the biggest white elephants the government has ever put together, a Board of Audit study showed on May 15. The central government has spent about 1.17 trillion yen ...