Electrical – How to convert from %FSR to LSB (DAC)

dac

If a DAC has a gain error of +/- 0.1 %FSR and an Offset Error of +/- 1 mV. Operating range 2.7V-5.5V with a reference Voltage of 4.096 V.

How would I convert that +/- 0.1 %FSR to LSB? The datasheet doesn't give it in LSB units.

Is there an equation, the only one I know is:
LSB = (FSR / (2^n -1)).

Best Answer

If \$p_\%\$ is the quantity in percent of \$FSR\$ and \$xLSB\$ is the correspondent representation in LSB:

$$ 1 LSB \rightarrow \frac{FSR}{2^n-1} $$ $$ x LSB \rightarrow \frac{p_\%}{100}\times FSR $$

$$ x LSB = \frac{p_\%}{100} \times (2^n-1) $$

An example from SLAA013 - Understanding Data Converters from Texas Instruments: ... offset error, gain error, integral nonlinearity and differential nonlinearity. Each can be expressed in LSB units or sometimes as a percentage of the FSR. For example, an error of 1/2 LSB for an 8-bit converter corresponds to 0.2% FSR...