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Homework Help: Logic Circuit Conversion

  1. Feb 15, 2015 #1


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    1. The problem statement, all variables and given/known data

    1. Convert the following NAND-NOR circuit to simplest AND-OR circuit (bubbles allowed) such that the output gate is an AND. Then, convert the resulting circuit back into a NAND-NOR circuit (no bubbles) such that the output gate is a NOR.

    Screen Shot 2015-02-15 at 11.44.50 AM.png

    2. Relevant equations

    3. The attempt at a solution

    My solution is drawn in two parts, part a) and b).

    For part a) I believe I got the simplest AND-OR circuit possible with an AND gate output.

    For part b) I am unsure if the circuit is as simple as possible, but I managed to get a NOR output.

    My work is shown below:


    Do these look okay?

    Thank you.
  2. jcsd
  3. Feb 15, 2015 #2


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    Science Advisor

    Seems OK.
  4. Feb 15, 2015 #3


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    Staff: Mentor

    Looks right.
    For clarification, I would swap the two NOT for A and B in the last diagram (so the upper gate keeps the same meaning as before), but that does not change how the circuit works.
  5. Feb 15, 2015 #4


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    Science Advisor

    For that matter, the upper left combination is an XOR:
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