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Number theory, converting numbers too different bases

  1. Oct 5, 2008 #1
    1. The problem statement, all variables and given/known data

    Show that for any fixed a and b, there is an algorithm to convert an n-digit number from
    base a to base b with O(n^2) operations.

    3. The attempt at a solution

    Really i am completley lost here. Working backwards, i know to convert from base a to a base b you must use the division algorithm, which requires something on the order of (n^2) operations, but i really dont know how to show any of this.
  2. jcsd
  3. Oct 6, 2008 #2
    Any thoughts?
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