Signal Processing & DSP
Basic

Digital Audio Bit Rate

Raw data rate from sample rate, bit depth and channels.

Formula

R=fs×b×cR = f_s \times b \times c

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Variables

RBit rate (bps)
f_sSample rate (Hz)
bBit depth
cChannels

Example

44100×16×2 = 1.41 Mbps (CD)

How it works

Digital audio stores sound as a sequence of samples, and each sample uses a fixed number of bits to represent its amplitude. The total raw bit rate is therefore the number of samples per second, multiplied by the number of bits used for each sample, multiplied again by the number of audio channels being recorded or played. This gives the uncompressed data rate before any file compression or codec overhead is applied.

When to use it

Use this formula when estimating the storage, bandwidth, or transmission needs of uncompressed audio such as WAV or PCM streams. It is also useful when comparing audio formats or checking whether a network, recorder, or interface can handle a given audio setup.

Worked example, step by step

Given: Sample rate f_s = 48000 Hz Bit depth b = 24 bits Channels c = 2 Step 1: Multiply sample rate by bit depth 48000 × 24 = 1,152,000 bits/s Step 2: Multiply by the number of channels 1,152,000 × 2 = 2,304,000 bits/s Final answer: R = 2,304,000 bps = 2.304 Mbps

Common mistakes to avoid

  • Forgetting to multiply by the number of channels for stereo or surround audio
  • Using kilobytes instead of bits per second, which makes the result 8 times too small
  • Applying this formula to compressed audio formats like MP3 or AAC, where the raw bit rate is not fixed by sample rate alone

Did You Know?

An uncompressed CD streams at 1.41 Mbps; MP3 shrinks that tenfold by discarding inaudible detail.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026