Why digital and not analog?
The transistor alone is extremely cheap, fast, easy to understand and (with nowadays technology) easy to shrink to these arbitrary small nanometer-sizes. With a transistor, you have a basic "measuring device" that basically has an input and an output.
This "measuring device" looks if the input voltage is above a certain threshold (defined by the chemistry of the junction chemistry and possibly geometry) and sets its output to "1".
Analog circuits need to distinguish not only "is the voltage there or not", but they have to decode the actual voltage level. The fastest analog couplers sip quite a large amount of current. Analog technology is kinda coming to the consumer electronics in the form of 10gig Ethernet and PCIe 6 - these use a "PAM4" modulation, that distinguishes four different voltage levels and therefore sends two bit per transfer. And boy, these Ethernet-Chips are getting HOT.
For certain applications, an analog "computer" can be built to follow a certain model - for example to solve differential equations, that might end in a numeric catastrophe when solved numerically. To be clear, these computers are not certainly working with continuous signals (waveform-electricity) but form an "analogy" to a model. The idea of an analog computer is not based on "fixed structure and flexible code" but "flexible structure and no code". Meaning, the structure itself is the program.
But these computers are by far not "multi purpose" but solve ONE TYPE of differential equations depending on their current configuration/structure - and no, Crysis is not a differential equation.
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