Progressive formalization is the gradual movement from informal problem-solving toward formal mathematical reasoning. Rather than starting with abstract algorithms, it builds from students’ intuitive ...

Improving the efficiency of algorithms for fundamental computations can have a widespread impact, as it can affect the overall speed of a large amount of computations. Matrix multiplication is one ...

This is an implementation of the Karatsuba polynomial multiplication algorithm in the LEGv8 assembly language, a RISC ISA part of the ARM architecture family. This was done as my final project for ECE ...

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 ...

Matrix multiplication runs the modern world. For every word that ChatGPT writes, I estimate that ~10,000,000,000 (10 billion) small matrices must be multiplied. Modern gaming engines routinely draw 10 ...

Abstract: This paper presents two improved modular multiplication algorithms: variable length Interleaved modular multiplication (VLIM) algorithm and parallel modular multiplication (P_MM) method ...

The 8086 has been around since 1978, so it’s pretty well understood. As the namesake of the prevalent x86 architecture, it’s often studied by those looking to learn more about microprocessors in ...

Four thousand years ago, the Babylonians invented multiplication. Last month, mathematicians perfected it. On March 18, two researchers described the fastest method ever discovered for multiplying two ...

Why Use the CORDIC Algorithm? The CORDIC algorithm is a hardware-efficient method for calculating a wide range of elementary functions, including trigonometric, hyperbolic, and linear operations. Its ...