Duality and Complement of a Function

Discussion in 'Homework Help' started by VanKusanagi, Sep 16, 2014.

  1. VanKusanagi

    Thread Starter New Member

    Sep 16, 2014
    View attachment 73075
    I was going through past year papers when I discovered this question. According to Duality principle, we have to change ANDs to ORs and vice versa. But I wanted to know if they were under a complement like this one.
    According to me it should be:
    [(A+B)'+A]+[(A+B)'+B] -applying Duality
    [(A)'(B)' + A+ (A)'(B)' +B] - applying DeMorgans
    A'B' + A +B - Dual of the function
    Now for taking a complement we invert the literals,
    AB + A'+B' -Complement of the function
    But now I can't see how they are equal. Can someone help me out here?