16.4 D/A Conversion Formulas and Tables

The formulas below explain how to convert between D/A codes and output voltages.

D/A Conversion Formulas for Unipolar Output Ranges

Output voltage = (D/A code / 4096) * Reference voltage

D/A code = (Output voltage / Reference voltage) * 4096

Example: Output range in unipolar mode = 0 – 10V

Full-scale range = 10V – 0V = 10V

Desired output voltage = 2.000V

D/A code = 2.000V / 10V * 4096 = 819.2 => 819

Note the output code is always an integer.

For the unipolar output range 0-10V, 1 LSB = 1/4096 * 10V = 2.44mV.

Here is an illustration of the relationship between D/A code and output voltage for a unipolar output range (VREF = Reference voltage):

D/A Code

Output voltage symbolic formula

Output voltage for 0 – 10V range

0

0V

0.0000V

1

1 LSB (VREF / 4096)

0.0024V

2047

VREF / 2 - 1 LSB

4.9976V

2048

VREF / 2

5.0000V

2049

VREF / 2 + 1 LSB

5.0024V

4095

VREF - 1 LSB

9.9976V

Prometheus CPU User Manual V1.44

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Diamond Systems PR-Z32-EA-ST, PR-Z32-E-ST user manual 16.4 D/A Conversion Formulas and Tables, REF 1 LSB

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