big-theta notation

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Use big-theta notation to classify the traditional grade school algorithms for addition and multiplication. That is, if asked to add two numbers each having n-digits, how many individual additions must be performed? If asked to multiply two n-digit numbers, how many individual multiplications are required?

This is question out of my homework addignment. Would the answer simply be just n^2, where n is the number of digits?????

Posted 14-Apr-10 6:58am

polska03

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*dan!sh* · Answer 1 · 2010-04-14T07:18:00

Solution 1

I am not much familiar with the big theta notation, but n^2 is definitely not correct: 19 + 19 has more that 4 additions going on.

Posted 14-Apr-10 7:18am

dan!sh