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I thought it would be fun to program up Karatsuba's multiplication to see how it really performs compared to the grade-school method. Sometimes these techniques to optimize big-O bounds don't work ...

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 ...

Abstract: Efficient multiplier design is critical for DSP, cryptography, and high-performance computing. The Karatsuba multiplication algorithm reduces computation but is significantly reliant on the ...