Methods similar to this go back thousands of years, at least to the ancient Sumerians and Egyptians. But is this really the best way to multiply two big numbers together? Around 1956, the famous ...

To help you understand the algorithm, the video shows a simple two-digit by two-digit multiplication. You can see that the first and last digits are essentially the result of one multiplication.

In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task efficiently. Traditional multiplication has a time complexity of O(n^2), but ...

Even for computers, the long multiplication algorithm, defined as n to the power of, could reportedly take months if each number had a billion digits.

What do encrypted messages, recognizing speech commands and running simulations to predict the weather have in common? They all rely on matrix multiplication for accurate calculations. DeepMind, an ...

See all Abstractions blog Even more important, the multiplication algorithm is part of a class of nearly ubiquitous algorithms in computer science. Gidney expects that his new technique will allow ...

High-performance matrix multiplication remains a cornerstone of numerical computing, underpinning a wide array of applications from scientific simulations to machine learning. Researchers continually ...

By transforming operands into a Montgomery domain, these algorithms enable efficient modular multiplication and exponentiation, which are crucial for public-key cryptosystems.