Designing a circuit with 3 variables while utilizing duality principle?

Thread Starter

Gonzalo Armbrust

Joined Jun 28, 2015
16
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
 

WBahn

Joined Mar 31, 2012
30,062
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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