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From Computers in Spaceflight: The NASA Experience: The Apollo guidance computer: Hardware

MIT's original design called for just 4K words of fixed memory and 256 words of erasable (at the time, two computers for redundancy were still under consideration). By June 1963, the figures had grown to 10K of fixed and 1K of erasable. The next jump was to 12K of fixed, with MIT still insisting that the memory requirement for an autonomous lunar mission could be kept under 16K! Fixed memory leapt to 24K and then finally to 36K words, and erasable memory had a final configuration of 2K words

See link below for much more indepth information on the Apollo cumputers.

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Q: How much computing power was used to land on the moon?
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