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keisanHigh-precision calculations for everyday life and work

Calculating the effective bit width of a DAC

Author: Greaps3Executions: 191

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This indicates, in terms of bit depth, what percentage of the maximum output of an audio DAC or similar device is actually being produced.
This indicates, in terms of bit depth, what percentage of the maximum output of an audio DAC or similar device is actually being used.
For example, if a 16-bit DAC is outputting 1 mW into a 16 Ω load, only up to 10.5 bits are being used.
Since resolution doubles with each additional bit, in this case 5 bits are not being used, meaning the output is limited to only 1/32 of the maximum amplitude, resulting in degraded sound quality.
Output
mW
Load Resistance (Impedance)
Ω
Maximum amplitude of the DAC
Vrms
Number of DAC bits
bit
Effective Bit Count 

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