Bit Depth Dynamic Range Calculator
Compute the theoretical dynamic range and SNR of any PCM bit depth using the 6.02·n + 1.76 dB rule.
Each bit buys ~6.02 dB of dynamic range: 16-bit = 98 dB, 24-bit = 146 dB (far below the noise floor of any analog stage, which is why 24-bit is overkill for playback but useful for mixing headroom). The +1.76 dB term comes from the RMS of a full-scale sine relative to quantization noise.
Rule / Formula
Compute the theoretical dynamic range and SNR of any PCM bit depth using the 6.02·n + 1.76 dB rule.
About Bit Depth Dynamic Range Calculator
Compute the theoretical dynamic range and SNR of any PCM bit depth using the 6.02·n + 1.76 dB rule. Each bit buys ~6.02 dB of dynamic range: 16-bit = 98 dB, 24-bit = 146 dB (far below the noise floor of any analog stage, which is why 24-bit is overkill for playback but useful for mixing headroom). The +1.76 dB term comes from the RMS of a full-scale sine relative to quantization noise.
How to use Bit Depth Dynamic Range Calculator
- 1Enter your values into the fields in Bit Depth Dynamic Range Calculator.
- 2The result and any pass/fail verdict update instantly as you type — no button to press.
- 3Check the substituted formula and worked example to see exactly how the result was derived.
- 4Copy or note the result for your spec, delivery or planning.
Why use Bit Depth Dynamic Range Calculator?
- ✓Runs entirely in your browser with instant, private results — no data leaves your device.
- ✓Built on a published reference: Pohlmann, K., 'Principles of Digital Audio'.
- ✓Shows the governing formula and a worked example, so you can trust and check every result.
- ✓100% free with no sign-up, no watermark and no usage limits.
- ✓Works on any device — desktop, tablet or phone — and keeps working offline once loaded.
Frequently asked questions
What does Bit Depth Dynamic Range Calculator do?+
Compute the theoretical dynamic range and SNR of any PCM bit depth using the 6.02·n + 1.76 dB rule. Each bit buys ~6.02 dB of dynamic range: 16-bit = 98 dB, 24-bit = 146 dB (far below the noise floor of any analog stage, which is why 24-bit is overkill for playback but useful for mixing headroom).
Is my data private?+
Yes. Bit Depth Dynamic Range Calculator runs entirely in your browser — your inputs are never uploaded, stored or logged.
What standard or source is Bit Depth Dynamic Range Calculator based on?+
It follows Pohlmann, K., 'Principles of Digital Audio'; AES quantization-noise theory. Always confirm against the current official document, as specifications and rates can change.
What formula does it use?+
Bit Depth Dynamic Range Calculator uses: DR = 6.0206·n + 1.76 dB (theoretical SQNR of an n-bit PCM signal). The tool shows this formula with your own numbers substituted so you can verify the result.
Is Bit Depth Dynamic Range Calculator free to use?+
Yes — it is completely free with no account, no sign-up and no usage limits. There is no watermark and no paywall.
Embed Bit Depth Dynamic Range Calculator on your website
Want Bit Depth Dynamic Range Calculatoron your own site? Paste this snippet into any HTML page — it's free, with no API key or sign-up. The tool loads in an iframe and keeps working exactly as it does here.
<iframe src="https://tooljolt.com/tools/bit-depth-dynamic-range-calculator" width="100%" height="640" style="border:1px solid #e5e7eb;border-radius:12px;max-width:680px" title="Bit Depth Dynamic Range Calculator — ToolJolt" loading="lazy"></iframe>Related Broadcast tools
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