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I think this chip is implemented with a state machine rather than a processor, so it's meaningless to compare their processing power. The Apollo Guidance Computer had about 17,000 transistors, while I estimate that the NFC chip has about 45,000 transistors. So the NFC chip has more complexity, but the same order of magnitude.



For the fun of it, what about radiation hardening ?


The Apollo Guidance Computer would be more radiation-hard, due to its large transistors and magnetic core memory.




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