To convert a decimal number to binary by repeated division, first subtract the largest possible power of two, and keep subtracting the next largest possible power form the remainder, marking 1 in each ...

The conversion of a decimal number to its base 8 equivalent is started by the repeated division method. Divide the base 10 number by 8 and extract the remainders. The first remainder will be the LSD, ...

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 ...

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 ...

A forgotten number system invented in the 19th century may provide the simplest explanation for why our universe could have 10 dimensions As children, we all learn about numbers. We start with ...

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 ...

In the remote Arctic almost 30 years ago, a group of Inuit middle school students and their teacher invented the Western Hemisphere's first new numeral system in more than a century. The “Kaktovik ...