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Algoritmi di moltiplicazione veloce

Algoritmi di moltiplicazione veloce

Algoritmi di moltiplicazione veloce

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Interi luuuuuuuuuuuuuuuuunghi<br />

Un intero lungo<br />

m = 574627456789283791827392845746478273478129318349379<br />

Può esser visto come un polinomio in molti mo<strong>di</strong>:<br />

In base B = 10 =⇒ 5B d + 7B d−1+ · · · + 3B 2 + 7B + 9<br />

In base B = 10 2 =⇒ 5B D + 74B D−1+ · · · + 34B 2 + 93B + 79<br />

. . .<br />

In base B = 10 ⌈(d+1)/2⌉ =⇒ 5746 · · · 3928B + 4574 · · · 9379<br />

E similmente in base B = 2 k .<br />

Alberto Zanoni <strong>Algoritmi</strong> <strong>di</strong> <strong>moltiplicazione</strong> <strong>veloce</strong>

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