As a software engineer, admittedly my desires for this documentary skewed more to the academic side than what might interest other viewers, but even then, the explanations were so superficial that I don't see how any of us could find this fulfilling.
In regards to the equivalence between circuitry and Boolean logic, there were a few equations that flashed up for half a second.
For the connection to entropy, an even briefer flash of an equation, with even less explanation about what any of the symbols are referring to.
When researchers introduced a proof of concept for the Shannon limit, the narrative was "fancy that, these French and Thai people who I was ignoring happened to have made an incredible discovery. I wouldn't have thought it would be them." Who is this woman giving us her gossipy take on information theory? I didn't come for your cattiness, I wanted to hear *explanations* of Shannon's insights, along with his personal history.
In terms of personal history, he wasn't a rock star or anything, so that wasn't sufficiently interesting to keep things going. What we ended up with was a simplistic tale of "smart guy did this and that thing which you don't really understand. Computers and tech and stuff".
Incessant mentions of how he was the founder for all this, while mentioning Von Neumann just once; and Turing, never! Charles Babbage and Ada Lovelace similarly got no mention at all. What a waste of material for a piece of entertainment.