
DMM-16R-AT User Manual V1.31
www.diamondsystems.com
Page 30
Convert the numerical data to a meaningful value
Once you have the A/D value, you need to convert it to a meaningful value. The first step is to convert it back
to the actual measured voltage. Afterwards you may need to convert the voltage to some other engineering
units (for example, the voltage may come from a temperature sensor, and then you would need to convert the
voltage to the
corresponding temperature according to the temperature sensor’s characteristics).
Since there are a large number of possible input devices, this secondary step is not included here; only
conversion to input voltage is described. However you can combine both transformations into a single formula
if desired.
To convert the A/D value to the corresponding input voltage, use the following formulas:
Conversion Formula for Bipolar Input Ranges
Input voltage = A/D value / 32768 * Full-scale input range
Example: Input range is 5V and A/D value is 17761:
Input voltage = 17761 / 32768 * 5V = 2.710V
For a bipolar input range, 1 LSB = 1/32768 * Full-scale voltage.
Here is an illustration of the relationship between A/D code and input voltage for a bipolar input range (V
FS
=
Full scale input voltage):
A/D Code
Input voltage symbolic formula
Input voltage for 5V range
-32768
-V
FS
-5.0000V
-32767
-V
FS
+ 1 LSB
-4.9998V
…
…
…
-1
-1 LSB
-0.00015V
0
0
0.0000V
1
+1 LSB
0.00015V
…
…
…
32767
V
FS
- 1 LSB
4.9998V
Conversion Formula for Unipolar Input Ranges
Input voltage = (A/D value + 32768) / 65536 * Full-scale input range
Example: Input range is 0-5V and A/D value is 17761:
Input voltage = (17761 + 32768) / 65536 * 5V = 3.855V
For a unipolar input range, 1 LSB = 1/65536 * Full-scale voltage.
Here is an illustration of the relationship between A/D code and input voltage for a unipolar input range (V
FS
=
Full scale input voltage):
A/D Code
Input voltage symbolic formula
Input voltage for 0-5V range
-32768
0V
0.0000V
-32767
1 LSB (V
FS
/ 65536)
0.000076V
…
…
…
-1
V
FS
/ 2 - 1 LSB
2.4999V
0
V
FS
/ 2
2.5000V
1
V
FS
/ 2 + 1 LSB
2.5001V
…
…
…
32767
V
FS
- 1 LSB
4.9999V