Designing a circuit with 3 variables while utilizing duality principle?

Discussion in 'Homework Help' started by Gonzalo Armbrust, Sep 28, 2015.

  1. Gonzalo Armbrust

    Thread Starter New Member

    Jun 28, 2015
    16
    0
    I was given the following question in a homework assignment, and I'm confused as to what it's asking for:

    " Design a three variable circuit that outputs 1 when there are even number of 1’s. Apply Duality theorem to the resulting logical expression. What would be the behavior of the corresponding dual circuit?"

    What exactly does it mean when it says " when there are even number of 1's"? I'm just a little lost on what exactly it's asking me to do
     
  2. WBahn

    Moderator

    Mar 31, 2012
    17,722
    4,788
    You have three inputs. Some of them are 0's and some of them are 1's. If the inputs are {0,1,1} how many 1's are there? Is this number even or odd?
     
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