Unary Representation

Hi All,


Is there anyway to represent a binary string to unary
representation, with the samesize as the orignal string ?

FYI, unary coding

1 0
2 10
3 110
4 1110
5 11110
......

If I had a binary string of 111100001010011
Unary representation is 111011100001010

But if I had binary string of 000011110101100 (Inverse of
111100001010011)
Unary representation is 111011100001010

Hence both of the string 111100001010011 and 000011110101100 were
map to 111011100001010
then I will need extra one bit to say if it start with 1 or start with
0.

that will be one bit extra from the original string.

Is there any other way to represent a binary string to unary
representation yet maintain the size ?

Please advise.
Many thanks.
Ray



.

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