Compression of random binary data

[danceswithnumbers at gmail.com]

Whatever you do, you'll find that *on average* you 
will need *at least* 34 bits to be able to represent 
all possible 10-digit decimal numbers. Some might 
be shorter, but then others will be longer, and 
the average won't be less than 34. 


The theoretical limit for arbitrary numbers 0 - 9 must be viewed as an average not as an impossibility to, in some cases be able to compress to or under 34. This is obvious by the decimal to binary function.