dB to Linear Gain Calculator

Convert decibels to a linear gain multiplier (and back) — for scripting audio processing, plugin automation, or just understanding what a dB change actually does to amplitude.

How to use the dB to Linear Gain Calculator

  1. Enter your valuesChoose what you know — decibels, amplitude ratio, power ratio or percent — and type the value.
  2. Read the results instantlyAll four equivalents appear, plus the equivalent voltage in dBu.
  3. Copy or sharePress the copy icon on any result card, or use Copy link to these values — the page URL stores your inputs so you can bookmark or send the exact calculation.

About the dB to Linear Gain Calculator

The dB to Linear Gain Calculator converts between decibels and the numbers audio software multiplies by: amplitude (voltage) ratio, power ratio and percent. Know that −6 dB is ×0.501, that +20 dB is ×10 and what ×0.25 is in dB — instantly.

It also shows the equivalent RMS voltage using the professional 0 dBu = 0.7746 V reference.

How the dB to Linear Gain Calculator works

Decibels are logarithmic: dB = 20·log₁₀(amplitude ratio) for voltage-like quantities such as audio samples, and 10·log₁₀(power ratio) for power. Inversely amplitude = 10^(dB/20). Because power is amplitude squared, a +3 dB change is a doubling of power but only ×1.414 in amplitude. Percent is amplitude ×100.

dB = 20·log₁₀(A) = 10·log₁₀(P) · A = 10^(dB/20)

What people use it for

Mixing & mastering

Translate dB moves into gain factors.

Programming

Apply gain in code.

Plug-in design

Convert thresholds.

Learning

Build intuition for dB.

Tips for the best results

  • −6 dB ≈ ×0.5, −12 dB ≈ ×0.25, −20 dB = ×0.1 (amplitude).
  • +3 dB doubles power but not loudness; loudness doubles at about +10 dB.
  • Digital audio peaks at 0 dBFS; everything else is negative.

Common problems & fixes

The numbers look wrongCheck whether your value is amplitude (20·log) or power (10·log).
Negative ratiosRatios must be above 0; use the polarity inverter for sign changes.

Quick facts

ConversionsdB ↔ amplitude ↔ power ↔ percent
Reference0 dBu = 0.7746 V RMS

Frequently asked questions

What is −3 dB in amplitude?

×0.708.

What is +6 dB?

×1.995 (≈ double) in amplitude.

What's the formula?

linear = 10^(dB/20) for amplitude (voltage/sample) gain — the standard conversion used throughout digital audio.

Why 20 and not 10?

Decibels for power ratios use 10×log10, but audio amplitude (which is what a gain control changes) is proportional to the square root of power, so the amplitude formula uses 20×log10 instead.

Your audio never leaves your device

This tool runs entirely in your browser using the Web Audio API. Nothing is uploaded, stored or shared — there is no server to send your file to, so it works offline once the page has loaded.

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