How large does n have to be for fancy algorithm to be better

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Problem

Assume that each word of your machine has 60 bits. Assume that you can multiply two n-word numbers in time 4n2 with a standard algorithm. Assume that you can multiply two n-word numbers in time 11nlg 3 with a "fancy" algorithm. For each part briefly justify and show your work.

(a) Approximately how large does n have to be for the fancy algorithm to be better?

(b) Approximately how many bits is that?

(c) Approximately how many decimal digits is that?

Reference no: EM133469961

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