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 2d accepted Bit increase when averaging? 2d revised Bit increase when averaging? added 32 characters in body May 1 revised Bit increase when averaging? added 8 characters in body May 1 revised Bit increase when averaging? deleted 4 characters in body May 1 revised Bit increase when averaging? deleted 4 characters in body May 1 revised Bit increase when averaging? added 1 character in body May 1 answered Bit increase when averaging? May 1 comment Bit increase when averaging? @JMoravitz TY :) Where $N$ is a power of 2, $R = B + log2(N)$ Apr 30 comment Bit increase when averaging? @JMoravitz If you have an answer for specifically where N is a power of two, I'd consider this a good enough answer to mark as correct, and it covers what I need the answer for. Apr 30 revised Bit increase when averaging? deleted 1 character in body Apr 30 comment Bit increase when averaging? @copper.hat and JMoravitz. Assume we are not using $N$ values where this is a problem, such as $N = 3$. If you want to include cases such as $N = 3$, then include enough bits to differentiate it from other possible values. Apr 30 asked Bit increase when averaging? Nov 23 comment Curiosity with surreal numbers There are strange surreal numbers that do not involve infinitesimals or infinities, such as there being infinite values for each equivalent real, values that are both greater than 1 and less than -1, at least 1 value that it between 0 and 0, and at least one value without an equivalent real. You could try probability involving those values. Nov 23 comment Curiosity with surreal numbers Roll a ω sided dice ω times. You win if you roll a 1. Whats your chance of winning to the nearest percent? Oct 11 comment The largest tile in 2048, groups of 3 variant? How did you get to the first diagram here from the start of the game? And no need to use any 3^1 tiles as in these perfect games we can presume our luck always gives us 3^2 tiles. Oct 11 revised The largest tile in 2048, groups of 3 variant? deleted 11 characters in body Oct 11 revised The largest tile in 2048, groups of 3 variant? deleted 42 characters in body Oct 11 revised The largest tile in 2048, groups of 3 variant? added 333 characters in body Sep 29 awarded Popular Question Sep 11 comment Operations on binary numbers, that have equal numbers of two available digits, that preserve this property? Any sort of function/operation, simple ones with nifty results are best, thanks for that one, the consequences are a bit trivial though. I imagined something that was unfortunately also a bit simple, based on your approach, transforming this example $1001$ (ignore the hyphen) into $1001$-$1001$.