The Karatsuba algorithm is a fast multiplication method that uses a divide-and-conquer approach to multiply large numbers more efficiently than the traditional grade-school method. Instead of ...

This assignment combines theoretical analysis with practical implementation of the Karatsuba algorithm for fast integer multiplication. You will analyze asymptotic complexity, trace through the divide ...

Abstract: As a key operation in contemporary cryptosystems, modular multiplication occupies non-negligible latency and area. We first show optimizations of the k-term Karatsuba algorithm for AB/rk and ...

Multiplication of two numbers is easy, right? At primary school we learn how to do long multiplication like this: Methods similar to this go back thousands of years, at least to the ancient Sumerians ...

People tend to obsess over making computer software faster. You can, of course, just crank up the clock speed and add more processors, but often the most powerful way to make something faster is to ...

This summer, battle lines were drawn over a simple math problem: 8 ÷ 2(2 + 2) = ? If you divide 8 by 2 first, you get 16, but if you multiply 2 by (2 + 2) first, you get 1. So, which answer is right?