8.6 Convert the numerical data to a meaningful value

Once you have the A/D code, 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.

It is possible to combine both transformations into a single formula for computing efficiency. 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 voltage

Example: Input range is ±10V and A/D value is 17761:

Input voltage = 17761 / 32768 * 10V = 5.420V

For a bipolar input range, 1 LSB = 1/32768 * Full-scale voltage. For the +/-10V range, 1 LSB = 305µV, and for the +/-5V range, 1 LSB = 153µV.

Here is an illustration of the relationship between A/D code and input voltage for a bipolar input range (VFS = Full scale input voltage, 10V or 5V):

A/D Code

Input voltage symbolic formula

Input voltage for ±10V range

-32768

-VFS

-10.0000V

-32767

-VFS+ 1 LSB

-9.9997V

. . .

. . .

. . .

-1

-1 LSB

-0.00032V

0

0

0.0000V

1

+1 LSB

0.00032V

. . .

. . .

. . .

32767

VFS - 1 LSB

9.9997V

Conversion Formula for Unipolar Input Range

Input voltage = (A/D value + 32768) / 65536 * Full-scale voltage

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 of 0-5V, 1 LSB = 1/65536 * 5V = 76µV.

Here is an illustration of the relationship between A/D code and input voltage for a unipolar input range (VFS = Full scale input voltage):

A/D Code

Input voltage symbolic formula

Input voltage for 0-5V range

-32768

0V

0.0000V

-32767

1 LSB (VFS / 65536)

0.000076V

. . .

. . .

. . .

-1

VFS / 2 - 1 LSB

2.4999V

0

VFS / 2

2.5000V

1

VFS / 2 + 1 LSB

2.5001V

. . .

. . .

. . .

32767

VFS - 1 LSB

4.9999V

Diamond-MM-48-AT User Manual V1.01

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Diamond Power Products MM-48-AT user manual Input voltage = A/D value / 32768 * Full-scale voltage