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4 votes

How many basic operations are there in an algorithm for the simple multiplication of two num...

It's hard to tell what anyone means by "comparable" in a specific context. I would take it to mean "of the same order", so something like $n^2$, maybe $100\cdot n^2$ or $0.0001\cdot n^2$, but not $n$ …
Tom van der Zanden's user avatar
3 votes

Karatsuba Multiplication Rule in dividing a Number in two parts

The most common approach is to take the longest number, and divide it in half (rounding an odd number of digits arbitrarily). So for x = 12345 y = 2478 you would get a=12, b=345, c=2, d=478. Since …
Tom van der Zanden's user avatar