Bit Depth Dynamic Range Calculator

Inspectable records

Ledger state

The current ledger marks this instrument verified clean within the source-bound verification corpus.

Area

Audio, Music, Photography & Color

Tranche

tranche-4

Evidence ID

t4-013

Ledger rows

1

No ledger note is attached.

Review findings

The formula is standard and appropriate for the stated theoretical PCM bit-depth calculation. The existing honest label correctly warns that real converters have lower effective dynamic range.

Formula and scope findings

No additional record

Unit assumptions

• bit_depth is a positive integer number of PCM bits per sample, not bytes or storage size
• The formula DR(dB) ≈ 6.02 × bits + 1.76 is the ideal quantization SNR for a full-scale sine wave with uniformly distributed quantization error
• dynamic_range_db is expressed in decibels relative to the quantization-noise floor; this is not a guarantee of real converter performance
• The 1.76 dB constant assumes the standard ideal sine-wave quantization model

Boundary hardening

BREAK_CLAIMED · SELF_FLAGGED

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.

Errata and corrections

No applied erratum is attached to this unique-name record.

Inspectable example

4 review vectors are recorded. One source-bound sample is shown below.

{
  "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"
}

Related workflows

Sources and evidence

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

• VERIFIED_LEDGER.json · VERIFIED_CLEAN
• evidence-tranche4/tranche4-results.json
• BOUNDARY_HAZARD_CATALOG.json