Source: https://guthlabs.ai/docs/instruments/number-base-converter/implementation/

instrument implementation / implementation-contract

# Number Base Converter implementation

A source-bound implementation contract for Number Base Converter; deployment and executable qualification remain separate.

Status: **VERIFIED_CLEAN**Lifecycle: **implementation-contract**

## Binding contract

This record describes what an executable surface must bind and validate. It does not claim that a public calculator, package, or production route is deployed.

**Record owner**: Guth Instruments

**Lifecycle**: verified-clean

**Evidence ID**: live-source boundary

**Effect**: Computation or source lookup only

## Input and validation requirements

The target-base-zero vector reaches an undefined division-by-zero operation and must be rejected rather than converted. The negative-number vector also exposes an unspecified signed-representation convention unless the converter explicitly chooses mathematical signed notation or a fixed-width complement format.

## Required corrections

No binding erratum is attached to this unique-name record. Implementers must still preserve the declared units, domain, and failure behavior.

## Inspectable interface fixture

The sample below is evidence for interface and validation tests, not a production implementation.

````
{
  "inputs": {
    "number_string": "101101.101",
    "source_base": 2,
    "target_base": 10
  },
  "expected_outputs": {
    "converted_representation": "45.625",
    "digit_breakdown_table": [
      {
        "digit": "1",
        "power": 5,
        "contribution": "1×2^5=32"
      },
      {
        "digit": "0",
        "power": 4,
        "contribution": "0×2^4=0"
      },
      {
        "digit": "1",
        "power": 3,
        "contribution": "1×2^3=8"
      },
      {
        "digit": "1",
        "power": 2,
        "contribution": "1×2^2=4"
      },
      {
        "digit": "0",
        "power": 1,
        "contribution": "0×2^1=0"
      },
      {
        "digit": "1",
        "power": 0,
        "contribution": "1×2^0=1"
      },
      {
        "digit": "1",
        "power": -1,
        "contribution": "1×2^-1=0.5"
      },
      {
        "digit": "0",
        "power": -2,
        "contribution": "0×2^-2=0"
      },
      {
        "digit": "1",
        "power": -3,
        "contribution": "1×2^-3=0.125"
      }
    ]
  },
  "working": "Integer part: 1×2^5 + 0×2^4 + 1×2^3 + 1×2^2 + 0×2^1 + 1×2^0 = 32 + 0 + 8 + 4 + 0 + 1 = 45. Fractional part: 1×2^-1 + 0×2^-2 + 1×2^-3 = 0.5 + 0 + 0.125 = 0.625. Total = 45 + 0.625 = 45.625."
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/number-base-converter/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/number-base-converter/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/number-base-converter/qualification/>)

## Sources and evidence

These pointers bind the page to evidence. They do not grant authority or collapse verification into deployment.

- `VERIFIED_LEDGER.json`

- `evidence-tranche2/batch10-output.jsonl`