But Anatoly Karatsuba defied the odds, providing a breakthrough with what would come to be known as Karatsuba's Algorithm,a faster, more efficient way to multiply large numbers that would ...

In long multiplication, we have to multiply every digit of the first number by every digit of the second number. If the two numbers each have N digits, that's N2 (or N x N) multiplications altogether.

One week after DeepMind revealed an algorithm for multiplying numbers more efficiently, researchers have an even better way to carry out the task By Matthew Sparkes 13 October 2022 ...

In long multiplication, we have to multiply every digit of the first number by every digit of the second number. If the two numbers each have N digits, that’s N2 (or N x N) multiplications altogether.

For example, to multiply four-digit numbers, instead of needing 4 ² = 16 multiplications, Karatsuba's method gets away with only nine. When using his method, twice as many digits means only three ...

To multiply two numbers by hand take 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.