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Off topic, just out of curiosity: I noticed that there's been a couple of papers in English about the FPGAs from the Innopolis University recently. Is that an initiative from a professor/lecturer? If so, it's a nice one!
Why this module does exactly 27 iterations?

log2(qbrt(99 999 999)) ~ 8.85 = 9 iterations. The binary search performs on result, not an input value. So 9 iterations is enough, i believe.
А почему статья на английском языке? Это начало той самой экспансии на иностранный рынок, но без какого-либо разделения с русскоязычным Хабром?
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