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what is the resolution?

Discussion in 'Electronics Homework Help' started by charmcaster.engg, Jan 20, 2015.

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  1. charmcaster.engg

    charmcaster.engg

    79
    1
    Mar 20, 2014
    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%.?
     
  2. Gryd3

    Gryd3

    4,098
    875
    Jun 25, 2014
    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?
     
  3. charmcaster.engg

    charmcaster.engg

    79
    1
    Mar 20, 2014
    I don't have any other info. They may have given wrong answer.
     
  4. Gryd3

    Gryd3

    4,098
    875
    Jun 25, 2014
    Who is 'they' ?
     
  5. charmcaster.engg

    charmcaster.engg

    79
    1
    Mar 20, 2014
    I am solving these question from one of the website.
     
  6. Gryd3

    Gryd3

    4,098
    875
    Jun 25, 2014
    Well, do you understand where the 1.56% came from?
    Both answers are acceptable depending on the circumstance.
     
  7. davenn

    davenn Moderator

    13,618
    1,882
    Sep 5, 2009
    what www site ?
     
  8. charmcaster.engg

    charmcaster.engg

    79
    1
    Mar 20, 2014
    No. Can you please explain?
     
  9. Gryd3

    Gryd3

    4,098
    875
    Jun 25, 2014
    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?
     
  10. charmcaster.engg

    charmcaster.engg

    79
    1
    Mar 20, 2014
    38.16% .Thanks!
     
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