> So my next question is... why does a digital device require so many 
> millions of resisters and capacitors?

Can't say for all designs, but I know on our LCD electrical designs it is 
mainly for noise-reduction and filtering.  If we didn't filter the digital 
signals, especially the ones on long tracks, we would be above the EMC noise 
limits allowed.  In a car in particular, the FM receiver circuitry is 
usually right next to the LCD, so the 85-110 MHz band is extra important, I 
imagine most consumer devices have similar requirements.

> (Maybe millions is an exaggeration, but there sure is a lot of them 
> here... Big ones, tiny ones... I assume the tiny ones *must* be mounted by 
> machine?)

It's done by a "pick&place" machine:

http://www.youtube.com/watch?v=M7w5OUXwTZs
http://www.youtube.com/watch?v=6NamGXOgb5s

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