# C1297 — Register the cap and count-rounding operations

## Question

How do theirforwardrules andinformationloss differ?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1296",
  "C1202–C1212",
  "C1277–C1278"
]
```

## Opened utc

2026-09-28T06:08:57.770247+00:00

## Results

```json
{
  "cap_round_operations": {
    "path": "model/operations_cap_and_round.json",
    "sha256": "7283fef390fea970c5f46796435bcb3ca98ae84d8b6a149a0ffb60fe06563008",
    "bytes": 1166
  }
}
```

## Finding

Theinventorydistinguishes clippingawayexcess from forgettingaroundingresidual. Theirforwardcompatibility requiresconsistentlyresolvedcountsonbothroutes.

## Reassessment

RegisterlosslessRounded-residualtranslation withoutmistakingitforinformationcompression.

## Checks

```json
{
  "two_ops": true,
  "distinct_losses": true
}
```

## Closed utc

2026-09-28T06:08:57.770648+00:00

## Record provenance

Exact record hash: `aa1234eb63207943bc34596d5fd9260670fa9977d2836d907e9986284b8920d6`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`