Question

3a.Each channel in the Powerlab is digitized by a 16-bit digitizer. (see the PowerLab Manual, Appendix A). With the input voltage range set at +/- 500mV, what is the smallest difference in voltage that can be resolved? Show your calculation.

3b. If this was a 3-bit digitizer, how many different voltage values could be encoded?

​What would be the smallest difference in voltage that could be resolved?

Answer 1

In this case the digitizer is a 16 bit analog to digital converter (ADC). For a M bit ADC converter no of voltage intervals given by

Now if the is the overall voltage measurement range and and are the lower and upper extreme voltages to be measure the

and the resolution of the ADC is

3a. given

M=16

mV

mV

mV

So the smallest difference between between the voltages can be resolves is 0.153mV.

3b. given

M= 3

So no of voltage value can be encoded is

The smallest difference in voltage that could be resolves is