On Jan 14, 2009, at 12:04 PM, Crissy Ruffo wrote:
> I was looking into how SAGE handles arithmetic base(n). Best I can
> tell, I use the function Integer('string rep of number', base), but
> the answer returned is base(10), so I use the function .str(base) to
> convert it back to the desired base. (thanks to the post by Ted
> Kosan on converting Integers to base(n) strings) Does anyone know of
> something more direct?
Another method that might be useful is the "digits" command, i.e
sage: a.digits(3)
[2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1]
sage: 5.digits(3)
[2, 1]
Note that the ordering is little-endian, i.e. the units digit is
always the first entry, the base^1 the second entry, etc.
If you are working with things of a limited size, a more "convenient"
representation in terms of printing could be to use the p-adic
numbers. I.e.
sage: R = Qp(13)
sage: R(100)
9 + 7*13 + O(13^20)
sage: R(230948213)
2 + 6*13 + 10*13^2 + 13^3 + 11*13^5 + 8*13^6 + 3*13^7 + O(13^20)
sage: a = R(10); a
10 + O(13^20)
sage: a + 5
2 + 13 + O(13^20)
sage: a + 13
10 + 13 + O(13^20)
- Robert
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