dBFS calculator: linear amplitude and gain
Convert a peak-referenced dBFS level to normalized linear amplitude, apply a gain change, and see whether the result crosses 0 dBFS.
Enter a level from -120 to 0 dBFS and a gain change. The calculator returns normalized linear amplitude, linear gain ratio, output dBFS, output amplitude, and an over-full-scale warning.
Result
Convert dBFS to normalized amplitude
For a peak-referenced digital level, the normalized amplitude is 10^(dBFS/20): 0 dBFS is represented as 1.0 and negative levels are fractions of that reference. This tool uses the amplitude relationship (20 log10), not a power relationship, and does not claim to predict perceived loudness.
Apply a gain change
The calculator adds the gain change in dB to the input dBFS and multiplies the normalized amplitude by 10^(gain/20). Positive gain boosts the level; negative gain attenuates it. The result shows both the linear gain ratio and the percentage change in amplitude so you can plan a mixer or processing step.
Read the full-scale warning honestly
An output above 0 dBFS is above the chosen full-scale reference and may clip in a fixed-point signal path; it is not a guarantee that every meter or downstream processor will behave identically. dBFS conventions can differ for peak and RMS readings, and this calculator does not measure audio, predict loudness, or replace a meter on the signal path you will actually use.