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 ...

An increasing number of residents across Japan have been voluntarily returning their Individual Number Card, known more popularly as the My Number Card, since June as a spate of errors and privacy ...

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 ...

According to the study, a total of 6,062 medical institutions in 35 prefectures that have installed the My Number Card system were surveyed. Of that number, 64.8 percent of the institutions ...

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 Babylonians used separate combinations of two symbols to represent every single number from 1 to 59. That sounds pretty confusing, doesn’t it? Our decimal system seems simple by comparison, with ...

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 ...

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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 ...