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Calcimator

Sample Rate & Bit Depth Calculator

Calculate file size, dynamic range, and data rate from recording settings.

About this calculator

Uncompressed digital audio's file size and quality both come directly from three settings: sample rate, bit depth, and channel count. This calculator multiplies sample rate by bit depth by the number of channels to get bytes needed per second of audio, then scales that by your recording duration for total file size — the same arithmetic reported as a per-second data rate in kilobits, a figure commonly used to estimate streaming bandwidth or storage budgets.

Nyquist frequency is simply half the sample rate, reflecting the sampling theorem's core rule that a digital system can only accurately capture frequencies up to half its sampling rate — which is exactly why the CD standard's 44,100 Hz sample rate was chosen to comfortably exceed twice the top of human hearing, roughly 20,000 Hz. Dynamic Range uses the standard theoretical formula for PCM audio, adding roughly 6.02 dB of usable range for every additional bit plus a fixed 1.76 dB constant from how quantization noise behaves — which is why 16-bit audio's oft-cited 96 dB of dynamic range and 24-bit audio's roughly 146 dB aren't twice as far apart as the bit counts alone might suggest, but a straightforward linear relationship in decibels.

Inputs

Hz
bit
min

Results

File Size

988.77 MB

≈ 10 apps

File Size0.97 GB
Nyquist Frequency24,000 Hz
Dynamic Range146.2 dB
Data Rate2,304 kbps
How to Use This Calculator
  1. Enter Sample Rate, Bit Depth, and Channels.
  2. Set Duration.
  3. Review the File Size (MB) result.
  4. Use File Size (GB) and Nyquist Frequency (Hz) to inform your decision.

How the result changes with Sample Rate

Sample RateFile Size
24,000494.38 MB
36,000741.58 MB
72,0001,483.15 MB
120,0002,471.92 MB

What each input means

Sample Rate
Sample rate in Hz (44100 = CD, 48000 = video, 96000 = hi-res).
Bit Depth
Bits per sample (16 = CD, 24 = pro, 32 = float).
Channels
Number of audio channels (1 = mono, 2 = stereo).
Duration
Recording duration in minutes.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Sample Rate = 48000, Bit Depth = 24, Channels = 2, Duration = 60 = 4 input(s) provided
  2. Calculate File Size
    File Size
    988.77 = 988.77
  3. Calculate File Size
    File Size
    0.966 = 0.966
  4. Calculate Nyquist Frequency
    Nyquist Frequency
    24000 = 24000

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why doesn't doubling the bit depth double the audio quality?

Dynamic range increases by a fixed amount per bit — about 6.02 dB — rather than scaling proportionally with the bit count itself, since each additional bit halves the quantization noise floor rather than doubling the useful signal range. Going from 16-bit to 24-bit adds roughly 48 dB of dynamic range, a meaningful improvement, but not the doubling the raw numbers might suggest.

Why is the Nyquist frequency exactly half the sample rate?

The sampling theorem establishes that a digital system can only accurately reconstruct frequencies up to half its sampling rate — any real frequency content above that point gets misrepresented as a false lower frequency, an artifact called aliasing. That's the direct reason the sample rate has to be at least double the highest frequency you want to capture cleanly.

Does a higher sample rate always make audio sound noticeably better?

Not necessarily for playback — since human hearing tops out around 20,000 Hz, a 44,100 Hz sample rate already comfortably exceeds twice that limit, and higher rates like 96,000 or 192,000 Hz mainly benefit production workflows with heavy processing rather than final listening quality. Bit depth and proper gain staging generally matter more to perceived audio quality than pushing sample rate higher than necessary.

How is Dynamic Range different from the File Size or Data Rate figures?

Dynamic Range describes audio quality — the ratio between the quietest and loudest signal a format can represent without noise or clipping — and depends only on bit depth. File Size and Data Rate describe storage and bandwidth cost, and depend on sample rate, bit depth, channel count, and duration together, so two recordings with identical dynamic range can still have very different file sizes.

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