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Decoding Puzzle: 1 + 1 + 1 + 1 = 3

January 2, 2021 am31 1:40 am

I found a new way to represent numbers, and multiplication with my new numbers is fine, but addition is a mess. Check it out:

0 + 0 = 1
1 + 0 = 10
2 + 0 = 100
3 + 0 = 20
1 + 1 = 2
1 + 2 = 11
1 + 3 = 101
1 + 4 = 21
10 + 0 = 2
10 + 1 = 100
10 + 2 = 1000
10 + 3 = 10000
10 + 10 = 11
10 + 11 = 20
10 + 12 + 110
1 + 1 + 1 = 11
1 + 1 + 1 + 1 = 3

Yes, these are natural numbers. Yes, addition is defined in the normal way (and is commutative). What’s going on?

One Comment leave one →
  1. January 9, 2021 pm31 1:49 pm 1:49 pm

    https://oeis.org/A054841

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