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Truth table to equation question (comp Sci)

  1. Sep 17, 2014 #1
    1. The problem statement, all variables and given/known data
    http://imgur.com/BSntip0


    3. The attempt at a solution

    for part a, i got the solution to be F1 = xy'+x'y= x⊕y (XOR) , F2 = x .y (AND)

    for part b i don't understand how i would derive an equal equation that uses only NAND which is (xy') and inverter which is x'
     
  2. jcsd
  3. Sep 17, 2014 #2

    LCKurtz

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    You can start by implememting xy' and x'y with AND gates and their sum with an OR gate. So you have two ANDS feeding an OR. Now on each line connecting an AND with the OR, put two bubbles, one on the AND output and the other on the OR input. The two bubbles are cancelling inverters, but they make the ANDS into NANDS and you have an OR gate with inverted inputs. What does DeMorgan's law tell you that makes?
     
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