Dear @mijostyn : The sound that goes inside our ears is an analog signal that we can't listen because is analog and that's why is in the internal ears an ADC. Read again here:
With the hair cells, we come to the end of the audio path inside the ear. Hair cells are neurons, and the purpose of the outer hair cells is to convert the mechanical vibrations that come from their cilia into nerve signals. Such signals are binary (all or nothing), and seem to be completely decorrelated from the analogue signals to which they correspond. In other words, they’re digital signals, and the inner hair cells are analogue‑to‑digital converters. ""
Those hair cells are the transducers, binary transducer and not zeros and ones. As you said our brain has no idea of those numbers but only the binary transduced information.
No one ( even scientific. ) knows for sure and in deep how our organism function. Medical specialist have an idea about founded in all the years in the University and day by day experiences.
The in deep brain whole operation step by step till today is almost unknowed. The scientific say that the human been brain is knowed at no more of the 20% of its whole real operation.
Any kind of live life in our planet but specialy the human been is almost " miraculous ".
Think for a moment of a small muscle/pump named heart that is running ( as all other organs. ) and can do it for even over 100 years with out stopped not even by 2-3 minutes to rest and is a muscle.
Which machine or item made it by the human beens could do it and with out maintenance services? it function by electricity and we don't have a cable but its wroks in wireless status.
R.