---
title: "Bit Depth Calculator: Digital Volume Control Loss"
description: "Bit depth calculator: hear how much resolution your OS volume slider throws away. Effective bit depth, dynamic range left, live A/B demo with TPDF dither."
url: "https://theaudiostuff.com/tools/bit-depth-calculator/"
type: "website"
author: "Jakub Charkiewicz"
---

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> Canonical URL to cite: https://theaudiostuff.com/tools/bit-depth-calculator/
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Breadcrumb: [Home](https://theaudiostuff.com/) > [Tools](https://theaudiostuff.com/tools/) > Bit Depth Calculator

# Bit Depth Calculator: Digital Volume Loss

This bit depth calculator shows what every step down in OS digital volume costs in audio resolution. At 16-bit output, 6 dB of attenuation throws away an entire bit. Find out how much resolution is gone at your current volume - then hear it for yourself in the live A/B demo with proper dither (the technique that turns distortion into faint hiss).

**New to this?** If a hardware knob on an amp or DAC sets your loudness and the computer stays at 100 %, you lose nothing. This page is about the other case - when the software slider itself sits low.

My presets

Save bit-depth + volume + law combos. Useful when you're auditing different OS setups or playback chains.

Effective bit depth - After OS attenuation. Native depth minus bits lost.

Bits thrown away - Every 6.02 dB of attenuation costs one bit.

Dynamic range left

\- 5 tiers from "CD quality" down to "telephone".

## Source format

native

What your OS actually sends to the DAC. Check Windows / macOS audio settings.

## OS volume

attenuation

%

Where your software or OS volume slider sits. Hardware knobs on an amp don't cost bits - only digital volume does.

## Volume law

app

Volume law decides how the slider position maps to dB attenuation. Linear is the worst for digital volume control, dropping a bit every 6 dB starting from the very first step.

## Effective bit depth across the volume range {#bdc-chart-title}

live

How the three volume laws degrade effective bit depth across the slider range. Linear (Windows) is the worst - drops a bit per 6 dB starting from the very first step down. Logarithmic and direct dB keep more bits at typical listening positions. The dot is your current volume.

## Hear it for yourself {#bdc-demo-title}

16-bit @ 0 dBFS

A live A/B test. The "Your setting" button generates the test signal at the post-attenuation level, then quantises it to the effective bit depth using TPDF dither - so you hear the actual noise floor your current configuration produces. The "24-bit reference" plays the same signal at full resolution for comparison. Pink noise reveals dither hiss most clearly.

**Show the math**

## Why digital volume control degrades audio quality {#how-it-works}

### Bits and dynamic range

Each bit adds approximately 6.02 dB of dynamic range. A 16-bit file has 96 dB theoretical range; 24-bit has 144 dB - more than the ear can resolve in a single moment.

Attenuate digitally by 6 dB and you discard the least significant bit. At -12 dB you lose two bits. At -48 dB you've thrown away 8 bits - taking 16-bit signal down to 8-bit quality. The noise floor rises with every step.

### The fix

Use 24-bit or 32-bit OS output and keep the digital volume at 100 %. Control loudness at the analog stage - amplifier knob, preamp, or a DAC with a hardware volume.

With 24-bit OS output you can attenuate digitally by 48 dB and still have 16-bit quality remaining. Many high-end DACs implement volume in the analog domain for exactly this reason. If your DAC has a volume knob, use it.

## Bit depth, dynamic range, and what it costs you {#ref-bd-title}

Each bit is worth ~6.02 dB of dynamic range. The "audibility floor" column shows where the residual noise starts to surface above the music's lowest passages.

| Format | Bits | Dynamic range | Audibility floor |
| --- | --- | --- | --- |
| Telephone, voicemail | 8 | 48 dB | Hiss audible on every quiet passage. |
| Compact cassette | ~12 | ~72 dB | Tape hiss; classical pp passages disappear. |
| FM radio | ~13 | ~78 dB | Audible noise floor under quiet music. |
| 16-bit CD (Red Book) | 16 | 96 dB | Below threshold of hearing. Dither can lift effective range to ~120 dB. |
| 16-bit at 50 % Windows volume | ~15 | ~90 dB | One bit lost to the volume control. |
| 16-bit at 25 % Windows volume | ~14 | ~84 dB | Two bits lost. Still well ahead of cassette. |
| 20-bit DAT, early hi-res | 20 | 120 dB | Beyond any room's noise floor. |
| 24-bit hi-res / studio master | 24 | 144 dB | Beyond physiological hearing limit. |
| 32-bit float (DAW internal) | 32 fp | ~1500 dB | Effectively infinite headroom. |

## What digital volume actually costs you {#tprimer-title}

Bit depth sets the distance between the loudest signal a digital system can carry and its noise floor. Each bit is worth about 6 dB, so 16-bit audio spans roughly 96 dB and 24-bit roughly 144 dB - far more than any listening room needs.

Turning the volume down in software does not move that noise floor. It scales the signal down towards it. Attenuating by 30 dB throws away about five bits of resolution, which is why a 24-bit file played at a very low digital volume can end up with less effective resolution than a 16-bit file played near full scale.

In practice this is rarely audible, because 24-bit has so much headroom to give away. It becomes audible when a system stacks attenuations - a quiet OS slider into a quiet player into a high-gain amplifier - which is the case worth avoiding.

![The bit depth calculator results panel: the effective bit depth left at the chosen volume, how many bits are thrown away, and the remaining dynamic range.](https://theaudiostuff.com/images/bit-depth-calculator-screenshot-1280w.avif)

*Worked example A 16-bit CD-quality output with the system volume at 75 %, on a macOS-style logarithmic taper. Effective bit depth 15.2 bits, 0.8 bits thrown away, and 91 dB of dynamic range left. Losing under a single bit at three-quarter volume is nothing to worry about. Dynamic range left is the number to watch: at 91 dB the noise floor is still far below the music, and it only surfaces once the slider drops far enough to cost several bits.*

### The ideas behind the controls {#tprimer-ideas}

- **Effective bit depth**: What is left after digital attenuation. Every 6.02 dB of cut costs one bit of the original resolution.
- **Dynamic range**: The span between full scale and the noise floor. Bit depth sets the ceiling on it; the analogue stages usually set the reality.
- **Dither**: A tiny amount of deliberate noise added before truncation. It trades a slightly higher noise floor for the removal of correlated distortion, which the ear finds far less objectionable.
- **Volume law**: How a slider position maps to attenuation. A linear-in-dB control behaves very differently from a linear-in-amplitude one at the bottom of its travel.

### Common mistakes {#tprimer-mistakes}

- Assuming a 24-bit file guarantees 24 bits at the output. What reaches the DAC is the file minus every digital attenuation in the chain.
- Running the OS volume very low to tame a high-gain amplifier, instead of fixing the gain structure where the problem is.
- Reading bit depth as sound quality. It sets a noise-floor ceiling; it says nothing about the recording, the converter or the analogue stages.
- Stacking several digital volume controls, each one costing bits, when one control near full scale would do.

### What this tool cannot tell you {#tprimer-limits}

- The 6.02 dB per bit figure is the ceiling for an ideal quantiser. Real converters fall short of it, so measured dynamic range always lands below the arithmetic.
- It models what digital-domain attenuation throws away. It says nothing about what your DAC does downstream, or about noise already baked into the recording.

## Digital volume and bit-depth FAQ. {#bitdepth-faq-title}

Why digital attenuation costs resolution, how much is too much, and what to do instead - analog volume, 24-bit output, and the quiet music problem.

1. ### Why does digital volume reduction lose audio resolution? {#bitdepth-faq-why-does-digital-volume-reduction-lose-audio-resolution}
   Digital volume scales every sample by a fraction less than 1, which truncates the low bits. At -6 dB attenuation you lose 1 bit of resolution; at -24 dB you lose 4 bits. A 24-bit file at -24 dB attenuation effectively becomes 20-bit. The calculator shows exactly how many bits you keep at any volume setting.
2. ### How much digital volume reduction is too much? {#bitdepth-faq-how-much-digital-volume-reduction-is-too-much}
   For 16-bit content (CD-quality), keep digital attenuation below 12 dB to avoid audible quantization noise rise. For 24-bit content, you can attenuate 30-40 dB before degradation matters. Better practice: set your DAC or amp gain to match the loudest peak you ever play and keep digital volume near 0 dBFS.
3. ### What is bit depth in audio? {#bitdepth-faq-what-is-bit-depth-in-audio}
   Bit depth is the number of bits per audio sample. 16-bit gives 96 dB of dynamic range and is the CD standard. 24-bit gives 144 dB, more than human hearing can resolve, useful as headroom during mixing. The actual recorded music rarely uses more than 60-70 dB of dynamic range; bit depth is mostly about quiet-detail noise floor.
4. ### Does Windows or macOS volume reduce bit depth? {#bitdepth-faq-does-windows-or-macos-volume-reduce-bit-depth}
   Yes, when the system mixer is in the path. macOS Core Audio and Windows shared mode apply digital attenuation that loses bits per the calculator. To avoid this, use exclusive mode (Windows WASAPI exclusive, macOS bypass via apps like Audirvana or Roon) or hardware volume on the amp/DAC.

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