Abstract: While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths.

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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 ...

Divide and Conquer algorithm to multiply n-bit numbers in O(n^1.58).. This implementation works completely without using Python's "*"-operator; just "+", "-", bitwise operations and a lookup table.