Does time complexity depend on, which base arithmetic you use? like base 10, 2 or whatever else? Does time coplexity depned on those?

Question

Computers and Technology

Nolan Levine

1 February, 07:19

Does time complexity depend on, which base arithmetic you use? like base 10, 2 or whatever else? Does time coplexity depned on those?

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Answers (1)

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Tabitha Holloway · Answer 1

No. Time complexity does not depend on which base arithmetic is used.

Explanation:

No. Time complexity does not depend on which base arithmetic is used. This is because log n to the base 10 and log n to the base 2 differ by the multiplicative factor log 10 to the base 2 which is a constant value independent of n. Similar is the case while transforming from one base to any other base. Moreover multiplication by a constant value does not change the overall time complexity. So time complexity is independent of base arithmetic.