Closed tiffany352 closed 5 months ago
https://en.wikipedia.org/wiki/Repeating_decimal#Extension_to_other_bases
Wikipedia is terrible with math stuff though. I actually found out about these rules from this video, which explains way better:
https://youtu.be/qID2B4MK7Y0?t=673
I think the important rule is this:
If the current remainder is not a multiple of the base, and divides cleanly into base^N - 1 (for base 10, this would be 9, then 99, then 999, and so on), then the remainder represents the N recurring digits.
base^N - 1
https://en.wikipedia.org/wiki/Repeating_decimal#Extension_to_other_bases
Wikipedia is terrible with math stuff though. I actually found out about these rules from this video, which explains way better:
https://youtu.be/qID2B4MK7Y0?t=673
I think the important rule is this:
If the current remainder is not a multiple of the base, and divides cleanly into
base^N - 1
(for base 10, this would be 9, then 99, then 999, and so on), then the remainder represents the N recurring digits.Base 10 cases
Base 2 cases