This is a really tiny nitpick, but I wanted to do something for 1024 (2^10) and this is the first thing that popped into my head. There’s an episode of Star Trek TNG about the binars, aliens who have merged with computers to the point where their primary language is binary. They hijack the Enterprise to upload their consciousness into its databanks and then download it somewhere else safe. When asked why they didn’t just ask for help from the Federation, they say that there was a chance they would say no and their mission was too important to accept no for an answer. Riker says, with enough confidence that the show pretty clearly intends this to be taken as fact, that this is a result of their binary computer thinking, they can’t deal with probabilities.
So, I guess they dedicated exactly one bit of memory to storing the probability of success for asking the Federation for help, and rounded down. Rather than, for example, setting aside ten bits so they can store 1,024 different points on a spectrum of probabilty.
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