• abbadon420@sh.itjust.works
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    13 days ago

    I disagree with you definition of base 1. Since base 10 is 0 through 9, and base 2 is 0 and 1, therefor base 1 must be only 0.

    The real question is: How do we continue?
    What is base 0?
    Is that equal to base 1?
    Are the negative bases?

      • 4am@lemmy.zip
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        13 days ago

        That would be reverse run length encoding. Also, Base 1 is just zero, everything equals zero.

        123 = 000 = 0

        456 = 000 = 0

        123456 = 000000 = 0

        123 + 456 = 123456

        0 + 0 = 0

        69 + 420 = 42069

        • Snazz@lemmy.world
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          12 days ago

          Base-n is a numeral positioning system where the value of each digit is n times the value of the dight directly to its right.

          We typically don’t let the maximum digit we use to be greater than or equal to n because then there would be multiple ways to express the same number.

          However when working with weird bases, sometimes it’s useful to forgo this convention.