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what is the resolution?

charmcaster.engg

Mar 20, 2014
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The resolution of a 0–5 V 6-bit digital-to-analog converter (DAC) is:
I have done 5/64=0.078.but answer is 1.56%.?
 

Gryd3

Jun 25, 2014
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The resolution of a 0–5 V 6-bit digital-to-analog converter (DAC) is:
I have done 5/64=0.078.but answer is 1.56%.?
6-bits will provide you with 64 steps from 0v to 5v. (Each step is 1.56% of the total range)
Each step will be 78mV like you have calculated.
This is my understanding of resolution... however, the 1.56% is a different representation.
If this question did not include the "0-5 V" description, I would have given the percentage. Looking at the question as you presented it though, I would have done exactly what you have.
In a question like this, there may have been an expected output. Did the question ask for a percentage or voltage? Does the instructor have a preference? Where did you get your answer?
 

Gryd3

Jun 25, 2014
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No. Can you please explain?
If you can share the website you are using, it would be appreciated..
Anyway, here are some numbers for you:

6-bits provide 64 possible combinations. ( 0 - 63 )
Now.. even though there are 64 combinations, there are only 63 steps.
So, if you take the reciprocal which is 1 / 63, you find that each step is 1.59% of the whole.
Using the same number, you find that each step of a 5V DAC is 5V / 63 = 0.079V

So at this time you can build a table:
000000 = 0% (0v)
000001 = 1.59% (0.079v)
000010 = 3.18% (0.158v)
000011 = 4.76% (0.238v)
000100 = 6.35% (0.317v)
...
111101 = 96.82% (4.84v)
111110 = 98.41% (4.92v)
111111 = 100% (5v)

Or simply multiply the binary value by the resolution to determine the answer:
So 011000 must be?
 

charmcaster.engg

Mar 20, 2014
79
Joined
Mar 20, 2014
Messages
79
If you can share the website you are using, it would be appreciated..
Anyway, here are some numbers for you:

6-bits provide 64 possible combinations. ( 0 - 63 )
Now.. even though there are 64 combinations, there are only 63 steps.
So, if you take the reciprocal which is 1 / 63, you find that each step is 1.59% of the whole.
Using the same number, you find that each step of a 5V DAC is 5V / 63 = 0.079V

So at this time you can build a table:
000000 = 0% (0v)
000001 = 1.59% (0.079v)
000010 = 3.18% (0.158v)
000011 = 4.76% (0.238v)
000100 = 6.35% (0.317v)
...
111101 = 96.82% (4.84v)
111110 = 98.41% (4.92v)
111111 = 100% (5v)

Or simply multiply the binary value by the resolution to determine the answer:
So 011000 must be?
38.16% .Thanks!
 
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