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The sound, fans and fields all end up as heat pretty soon too.

A tiny bit of energy is stored in the bits of permanent storage. That can be kept for (presumably) indefinite time, and not released as heat until the bits are erased.

The network connection energy is mostly lost as heat in the wire, but to the extent that it transmits information elsewhere that energy is also retained.

Hence very, very close, but not identical, unless you have the pathological condition of never storing any data or causing any other process to store data. To do this you'd have to compute away and no-one could ever learn the results.

Edit: I may be wrong about the net heating due to storage, since setting storage bits implies erasing their old state which releases heat into the room. Anyone with better thermodynamics training than me want to give a better answer?

Or maybe I should get back to work...




Ah OK, I hadn't thought of potential energy in permanent storage.




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