Fabian Giesen on Nostr: In decimal, you count 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and so forth. I'll write ...
In decimal, you count 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and so forth.
I'll write the signed digits -1=1̅, -2=2̅ and so forth.
Then balanced decimal goes 0, 1, 2, 3, 4, 5=15̅, 14̅, 13̅, 12̅, 11̅, 10, 11, 12 and so forth.
Due to sign symmetry, multiplication tables are a quarter the size. Due to redundancy, you can pick which digits you use. It's convenient to never initially use the positive "5" digit, always preferring the equivalent 15̅ instead. The extra slop makes carry handling simpler.
I'll write the signed digits -1=1̅, -2=2̅ and so forth.
Then balanced decimal goes 0, 1, 2, 3, 4, 5=15̅, 14̅, 13̅, 12̅, 11̅, 10, 11, 12 and so forth.
Due to sign symmetry, multiplication tables are a quarter the size. Due to redundancy, you can pick which digits you use. It's convenient to never initially use the positive "5" digit, always preferring the equivalent 15̅ instead. The extra slop makes carry handling simpler.