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RESOLUTION of DAC should be... ?

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onemilimeter

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Resolution of digital-to-analog converter should be:

1/ (2^n - 1) or 1/(2^n) ... where n is the number of bit of binary input string.

Thanks.
 

yeh i am also having the same perplex

in somewhere it is used as 1/ (2^n - 1)
and somewhere it is as 1/(2^n) . which one is appropriate?
 

I m sorry but I do not understand the formula, can one of you help me out with a related doc.
 

The resolution depends on the no. of levels in your conversion.

For ex.,
Vrange= 0-5 V
If I'm using a 8 bit DAC, there are 2^8 steps. i.e., 256 steps.
So the minimum most voltage that you can measure is 0.01953125V which means the resolution if 1/(2^8) not 1/(2^7) of the Voltage range.
 

If we desire to divide the continuous interval [a,b] to N different levels. That is, we descretize the interval and quantize it. If we have N different levels then we divide the distance from a to b (b-a) into number of increments we have, which is N-1 increments.

The result is that the first level is a and the N'th level is a+(max number of increments)*resolution=b.
Try it.
 

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