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DAC Percentage Resolution



Percentage Resolution of a DAC

The resolution of a Digital-to-Analog Converter (DAC) is the smallest change in output voltage corresponding to a one-bit change in the digital input.

Resolution Formula

Resolution = 1 / (2n − 1)

Where:

  • n = number of bits of the DAC

Percentage Resolution

Percentage Resolution = (1 / (2n − 1)) × 100 %

Full-Scale Range Calculation

The full-scale output voltage of a DAC depends on the reference voltage.

Step Size (Resolution Voltage) = Vref / (2n − 1)
Full Scale Output = (2n − 1) / 2n × Vref

Example (8-bit DAC)

Number of bits (n) = 8

28 = 256
Percentage Resolution = (1 / 255) × 100 = 0.392 %

If Vref = 5V:

Step Size = 5 / 255 = 0.0196 V

Common DAC Percentage Resolutions

DAC Bits Percentage Resolution
4-bit 6.67%
8-bit 0.392%
10-bit 0.098%
12-bit 0.0244%

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