T81 OOI
v1.4.0-beta · tiering intelligence
Representation
Balanced trits
States are −1, 0, and +1. Four trits are one base-81 digit. Negation flips every trit — there is no sign bit.
+++
3 trits · 4.75 bits · log₂3 ≈ 1.585
Base-81 digits, −40…+40
- 0+++13
Complement
−−−
−(13) = -13
Arithmetic
Carry in three states
A column that sums to ±2 writes the other trit and carries ±1. ±3 writes 0 and carries ±1.
+−00
= 18
| 3^n | A | B | Cin | Σ | Out | Cout |
|---|---|---|---|---|---|---|
| 3 | 0 | 0 | + | 1 | + | 0 |
| 2 | + | + | 0 | 2 | − | + |
| 1 | + | − | 0 | 0 | 0 | 0 |
| 0 | + | − | 0 | 0 | 0 | 0 |