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Editorial Team
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Editorial Team
Asked: May 22, 20262026-05-22T22:03:38+00:00 2026-05-22T22:03:38+00:00

How can I convert a vector<int> in base a to vector<int> in base b

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How can I convert a vector<int> in base a to vector<int> in base b without the use of a library like gmp?
The contain the digits of the numbers. a and b are less than 1024. a can be smaller or larger than b.
I thought about using the standard base conversion algorithm but the numbers won’t fit even in long long.

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  1. Editorial Team
    Editorial Team
    2026-05-22T22:03:39+00:00Added an answer on May 22, 2026 at 10:03 pm

    I thought about using the standard base conversion algorithm but the numbers won’t fit even in long long.

    This is the correct (as in: “clean”) approach. Since the numbers won’t fit in a native number type, and you don’t want to use existing libraries, you essentially need to implement your own number type, or at least the necessary operations (addition, division, modulus) that you need for the conversion algorithm.

    The easiest (though not the most efficient) way is to implement the classical long division algorithm.

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