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In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task ...
Ever wondered how computers multiply huge numbers with hundreds or even thousands of digits? The process may seem simple, but it gets incredibly complex as numbers grow. In this video, we explore the ...
Fawzi explained the novelty of AlphaTensor, and how it is able to improve over time despite no knowledge on existing algorithms at the start. The algorithm is able to re-discover older matrix ...
You wouldn’t use this algorithm when calculating a tip, but when it comes to multiplying large numbers, Karatsuba’s method was a big advance. And once Karatsuba opened the door to faster ...
Karatsuba’s divide-and-conquer multiplication algorithm takes advantage of this saving. Consider a multiplication algorithm that parallels the way multiplication of complex numbers works.
DeepMind breaks 50-year math record using AI; new record falls a week later AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar.
By transforming operands into a Montgomery domain, these algorithms enable efficient modular multiplication and exponentiation, which are crucial for public-key cryptosystems.
The multiplication algorithm can be nutted out by looking at the arithmetic/logic unit, or ALU. However, it’s also important to understand the role that microcode plays, too.