To multiply two numbers by hand takes a few steps but it's something we're taught in school. When dealing with big numbers, really big numbers, we need to a quicker way to do things.

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 ...

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.

Can artificial intelligence (AI) create its own algorithms to speed up matrix multiplication, one of machine learning’s most fundamental tasks? Today, in a paper published in Nature, DeepMind ...

Those algorithms run up to 20% faster than existing matrix multiplication methods, according to the Alphabet unit.

For example, suppose we wanted to multiply two four-digit numbers like 1,234 and 5,678. Traditional multiplication techniques would require multiplying each digit of one number by each digit of the ...

A notable example includes the development of a high-performance implementation for the fast-updating of Pfaffians using a blocked variant of the Parlett-Reid algorithm and BLIS as a backend; the ...

In this video, we explore the genius of the Karatsuba algorithm, a breakthrough that changed how computers handle large numbers.

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 ...