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4. Digital Audio Theory · Concept 7 of 8

Bit Depth

It is how many loudness steps each sound snapshot can be measured against, like rungs on a ladder.

Bit Depth = Loudness Rungs on the Ladder Each sample SNAPS to the nearest rung. More bits = more rungs = finer detail + lower hiss. LOW bit depth (3-bit = 8 rungs) Coarse steps = quantisation noise HIGH bit depth (24-bit = 16.7M rungs) Fine steps = clean, quiet detail survives DYNAMIC RANGE 0 dBFS (clip) Dynamic Range = 6.02 x bits + 1.76 dB 16-bit = 96 dB (CD) 24-bit = 144 dB (studio) ~6 dB per extra bit

Same wave, two ladders: few rungs round it into a jagged staircase (noise); millions of rungs trace it cleanly.

What it is

Bit depth is how many loudness rungs each digital sample can land on, between dead silence and full scale.

Key facts

How it works

  1. Mic signal becomes a continuous voltage wave.
  2. Converter takes snapshots (samples) at the sample rate.
  3. Each snapshot's loudness is measured and SNAPPED to the nearest available rung.
  4. More bits = more rungs = finer detail and a lower noise floor.
  5. Rounding to the nearest rung creates a tiny error called quantisation noise.
  6. Dither noise is added on bit-depth reduction to keep quiet fades smooth.

Real examples

How it helps in live sound

Everyday analogy

It is like a ruler: 16-bit has thousands of tick marks, 24-bit has millions, so you can measure quiet detail far more finely.

Watch out

Myth: more bits = better sound quality. Reality: bit depth only sets dynamic range / noise floor and clip headroom, NOT frequency response or 'warmth'.

Fun fact

32-bit float files can be 'unclipped' after recording: a take that looks slammed past 0 dBFS can have its gain pulled back in software and come out perfectly clean.

Key takeaways

  • Bit depth = number of loudness rungs = 2 to the power of bits.
  • ~6 dB of dynamic range per bit: 16-bit = 96 dB, 24-bit = 144 dB.
  • Bit depth = dynamic range & noise floor; sample rate = frequency range.
  • Record at 24-bit for safe headroom; dither only when dropping to 16-bit.
  • 0 dBFS is the hard clip ceiling; track with 18 dB of headroom.
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