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.
Fabian Giesen /
npub1sq…rr8se
2024-02-07 22:58:37
Author Public Key
npub1sqndnjhteg95ss2tk5xdmld540vv8hlhkpa4altk9cagjqrwrvhqurr8sePublished at
2024-02-07 22:58:37Event JSON
{
"id": "e2d56d0052dc28c5ab0f59e15601a46169114f7b04f3b773ee1a457e2032c4b7",
"pubkey": "8026d9caebca0b48414bb50cddfdb4abd8c3dff7b07b5efd762e3a89006e1b2e",
"created_at": 1707346717,
"kind": 1,
"tags": [
[
"proxy",
"https://mastodon.gamedev.place/users/rygorous/statuses/111892674468541297",
"activitypub"
]
],
"content": "In decimal, you count 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and so forth.\n\nI'll write the signed digits -1=1̅, -2=2̅ and so forth.\n\nThen balanced decimal goes 0, 1, 2, 3, 4, 5=15̅, 14̅, 13̅, 12̅, 11̅, 10, 11, 12 and so forth.\n\nDue 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.",
"sig": "644e1824f97c5a07d15b6b539a2a42a5e08b8d2ad6454b750a64b7f41df524092a77f7a2f09e11b344a906946b2f97f6a6ba9cfee31c60baef47da78297073e4"
}