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TWEET # Untitled a guest Jan 14th, 2009 2,002 Never
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1. BASE2 = "01"
2. BASE10 = "0123456789"
3. BASE16 = "0123456789ABCDEF"
4. BASE62 = "ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789abcdefghijklmnopqrstuvwxyz"
5.
6. def baseconvert(number,fromdigits,todigits):
7.     """ converts a "number" between two bases of arbitrary digits
8.
9.    The input number is assumed to be a string of digits from the
10.    fromdigits string (which is in order of smallest to largest
11.    digit). The return value is a string of elements from todigits
12.    (ordered in the same way). The input and output bases are
13.    determined from the lengths of the digit strings. Negative
14.    signs are passed through.
15.
16.    decimal to binary
17.    >>> baseconvert(555,BASE10,BASE2)
18.    '1000101011'
19.
20.    binary to decimal
21.    >>> baseconvert('1000101011',BASE2,BASE10)
22.    '555'
23.
24.    integer interpreted as binary and converted to decimal (!)
25.    >>> baseconvert(1000101011,BASE2,BASE10)
26.    '555'
27.
28.    base10 to base4
29.    >>> baseconvert(99,BASE10,"0123")
30.    '1203'
31.
32.    base4 to base5 (with alphabetic digits)
33.    >>> baseconvert(1203,"0123","abcde")
34.    'dee'
35.
36.    base5, alpha digits back to base 10
37.    >>> baseconvert('dee',"abcde",BASE10)
38.    '99'
39.
40.    decimal to a base that uses A-Z0-9a-z for its digits
41.    >>> baseconvert(257938572394L,BASE10,BASE62)
42.    'E78Lxik'
43.
44.    ..convert back
45.    >>> baseconvert('E78Lxik',BASE62,BASE10)
46.    '257938572394'
47.
48.    binary to a base with words for digits (the function cannot convert this back)
49.    >>> baseconvert('1101',BASE2,('Zero','One'))
50.    'OneOneZeroOne'
51.
52.    """
53.
54.     if str(number)=='-':
55.         number = str(number)[1:]
56.         neg=1
57.     else:
58.         neg=0
59.
60.     # make an integer out of the number
61.     x=0
62.     for digit in str(number):
63.        x = x*len(fromdigits) + fromdigits.index(digit)
64.
65.     # create the result in base 'len(todigits)'
66.     if x == 0:
67.         res = todigits
68.     else:
69.         res=""
70.         while x>0:
71.             digit = x % len(todigits)
72.             res = todigits[digit] + res
73.             x = int(x / len(todigits))
74.         if neg:
75.             res = "-"+res
76.
77.     return res
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