4 ms·
Nice corner case. It's pretty much useless, it would contain just a single value. Is it even valid base?
by vletal 6y ago
Nice corner case. It's pretty much useless, it would contain just a single value. Is it even valid base?
- taneliv 6y agohttps://en.wikipedia.org/wiki/Tally_marks https://en.wikipedia.org/wiki/Tally_marks
- mostlylurks 6y agoIt can actually represent all integers just fine. It works like any other base, except whereas for example in base 10, positions are multiplied by 10^0 = 1, 10^1 = 10, 10^2 = 100 and so on, in base 1 they are multiplied by 1^0 = 1, 1^1 = 1, 1^2 = 1, and so on. The result is that each digit adds 1 to the number, like tally marks. So we have, for example 111 = 3 11 = 2 1 = 1 = 0 -1 = -1 -11 = -2 -111 = -3
- vletal 6y agoThat is wierd. Base k includes numbers 0,...,k-1. For example 101 is a valid number in base 2 which is 2^2 + 2^1. Using that logic, base 1 would only contain 0, hence it should not be able to expresss more values that 0. Is your example actually a valid base 1?