Consensus Theorem

Thread Starter


Joined Sep 21, 2011
A'BD + AB'D' with the consensus theorem you are left with D + D' which equals 1 but what happens next? Do the D and D' just cancel and you add a 1 to the entire equation?

Also for something like A'B + AB you get B + B which is just B so what happens? Do you just put B in one of the parts like A'B + A?

I am a Freshman and just started an ece class and I am really lsot and confused with simplifying Boolean expressions. Any help is appreciated thanks!


Joined Nov 25, 2009
You might have got something wrong here. You can't factorize two terms using different variables from each one.
\(A'BD+AB'D\neq D+D'\ and\\
A'B+AB\neq B+B\)

A correct factorization is

Read here for an example on the consensus theorem:
I think key to the consensus theorem is the existence of three terms in a sum (or product) not two.