> Using OpenBabel, I got a file with the information that the fingerprint is a 
> 6040 bits set and got hexadecimal numbers.
> Using PyBioMed, which is based in RDKIT, I got a binary string of 1024 bits, 
> very different from that obtained with OpenBabel.

The RDKit binary string will be "folded" down to 1024 bits, so of course they 
will be very different bit strings.

> 2-) How can I convert the ECFP4 obtained from OpenBabel in hexadecimal form 
> to a bit string with only ones and zeros?

What programming language are you using? For example in Python, a quick search 
on StackExchange:
 https://stackoverflow.com/questions/1425493/convert-hex-to-binary 
<https://stackoverflow.com/questions/1425493/convert-hex-to-binary>

Hope that helps,
-Geoff
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