OK let's go with your analogy example of 1234 being
represnted by 234 only.

You have no way of decoding 234 into 1234 without
passing information of 1000 as your baseband info and
therefore the the number 1234 has not been successfuly
representedm as being reproduced without further
information.

Now we could further argue algorythms as part of the
information or part of the sample.


"Ray Andraka" wrote in message
news:WUdsf.34360$Mi5.17847@dukeread07...
You've used the wrong part of 1234 for your example.
The proper analogy
would be to say that 1234 can be represented by 234
in a 3 digit decimal
number system. In that case, the overflow caused by
exceeding 999
results in 1234 aliasing onto 234. If you know that
all your input
numbers are between 1000 and 1999, then 234 is
sufficient information to
represent 1234 with no ambiguity.