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Re:A Bad Trip to Infinity by IIAOPSW on Saturday March 25, 2023 @07:09PM (#35308528)
100000... is only equal to 011111... if your digits roll over, but if your digits roll over then you have a p-adic number system (specifically a 2-adic system), and the exact same argument would hold equally well for the 10-adic applied to 10000..... = 99999.....

You argument isn't dependent on being binary or not. Only that the numbers roll over.

Re:A Bad Trip to Infinity by Dylan16807 on Saturday March 25, 2023 @07:30PM (#35308714)
In bases higher than 2, you can avoid the issue entirely by saying that some digits get +1 and other digits get -1.

If the generated number only has digits 1-8, then 0000... vs 9999... is obviously not a problem.