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what’s the advantage of using analogue circuits? are they cheaper in some cases? or is this more of a proof of concept? also, what are the main areas where analogue circuits are more widely used than digital ones?
Analog computing is a lot different fundamentally then digital. While the transistor is the fundamental building block of a modern CPU, the Operational Amplifier, or Op-Amp is the building block of an analog computer.
https://www.electronics-tutorials.ws/opamp/opamp_1.html
As for the pros and cons of each, I’m sure a whole disseration could be written on the topic, but I’d say “real-time” applications would benefit from analog computers. Think feedback loops.