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(This is a much longer shot than the hexadecimal floats I reported earlier. Not necessarily the most urgent but for .. completeness?)
But while we are on the subject of more bases... quite many languages support literals and input/output bases 2-36 (36 = 10 + 26 ASCIIbets, in lower or upper). No, there are no obvious ways to continue the digits. Base64? Well, which Base64?
Looking over at http://rosettacode.org/wiki/Literals/Integer
BASErDIGITS
BASE in decimal, literal 'r', and then the digits, e.g. 7r15 for 12
Clojure, Common Lisp, Emacs Lisp (#BASErDIGITS)
BASEbDIGITS
In J, but J is really... different.
:BASE<DIGITS>
Perl 6, e.g. :3<100110> (really...? that's... weird)
Migrated from rt.perl.org#122222 (status was 'open')
Searchable as RT122222$
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