Abstract: In this paper, we propose three modular multiplication algorithms that use only the IEEE 754 binary floating-point operations. Several previous studies have used floating-point operations to ...

Multiplication in Python may seem simple at first—just use the * operator—but it actually covers far more than just numbers. You can use * to multiply integers and floats, repeat strings and lists, or ...

Large language models (LLMs) are just one type of artificial intelligence/machine learning (AI/ML), but they along with chatbots have changed the way people use computers. Like most artificial neural ...

Mathematicians sometimes think of their research as a garden and unsolved problems as seeds waiting to sprout. Some problems are analogous to tulip bulbs. As mathematicians work to solve them, they ...

A military-grade encryption algorithm has reportedly been hacked by Chinese researchers using a D-Wave quantum computer. This is being claimed as the first successful quantum attack on widely used ...

Building on a landmark algorithm, researchers propose a way to make a smaller and more noise-tolerant quantum factoring circuit for cryptography. The most recent email you sent was likely encrypted ...

In this article, we'll get into what's actually happening at the mathematical level in quite a bit of detail, and by the end, with a little persistence, you'll come away actually understanding how it ...

Bit Layer Multiplier Accumulator (BLMAC) is an efficient method to perform dot products without multiplications that exploits the bit level sparsity of the weights. A total of 1,980,000 low, high, ...