One value, different digits
Explore place weights, signed bases and exact repeating expansions. Every result uses the shared RiX and Core numeral algorithms.
Static example: decimal 123.25 equals 493/4.
Numeral system: numberSystem
Exact value: 123..1/4; status: complete
`.numberSystem:123.25`
Place contributions add to the exact source value.
| Token | Digit | Place | Weight | Contribution |
|---|---|---|---|---|
| 1 | 1 | 2 | 100 | 100 |
| 2 | 2 | 1 | 10 | 20 |
| 3 | 3 | 0 | 1 | 3 |
| 2 | 2 | -1 | 1/10 | 1/5 |
| 5 | 5 | -2 | 1/100 | 1/20 |
Integer carry steps
Every row satisfies before = digit + signed base times after.
| Before | Digit | Signed base | After |
|---|---|---|---|
| 123 | 3 | 10 | 12 |
| 12 | 2 | 10 | 1 |
| 1 | 1 | 10 | 0 |