Source: https://guthlabs.ai/docs/instruments/bit-depth-dynamic-range-calculator/implementation/

instrument implementation / implementation-contract

# Bit Depth Dynamic Range Calculator implementation

A source-bound implementation contract for Bit Depth Dynamic Range Calculator; 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**: t4-013

**Effect**: Computation or source lookup only

## Input and validation requirements

An extreme positive bit-depth input overflows JavaScript arithmetic to Infinity, and the zero boundary produces a numerical result even though zero-bit PCM should be rejected or flagged as physically invalid.

## 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": {
    "bit_depth": 1
  },
  "expected_outputs": {
    "dynamic_range_db": 7.78
  },
  "working": "DR ≈ 6.02 × bits + 1.76\n= 6.02 × 1 + 1.76\n= 6.02 + 1.76\n= 7.78 dB"
}
````

## Other records

[01**Overview**](<https://guthlabs.ai/docs/instruments/bit-depth-dynamic-range-calculator/>)[02**Mechanism**](<https://guthlabs.ai/docs/instruments/bit-depth-dynamic-range-calculator/mechanism/>)[04**Qualification**](<https://guthlabs.ai/docs/instruments/bit-depth-dynamic-range-calculator/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-tranche4/tranche4-results.json`
