I am supposed to simplify this expression: = ⋅⋅' + ⋅⋅ + ′⋅(⋅) + ⋅⋅′. I have received a hint that states that the consensus theorem can be used.
My thinking is that B is the common term and we get B⋅(A⋅C' + A⋅D + A'⋅C + C⋅D') but I get stuck here and don't know how to proceed. What am I missing here?
You have a nice candidate for consensus here: $AD + A'C = AD + A'C + CD$
So with that:
$B(AC' + AD + A'C + CD') \overset{Consensus}{=} $
$B(AC' + AD + A'C + CD + CD') \overset{Adjacency}= $
$B(AC' + AD + A'C + C) \overset{Absorption}= $
$B(AC' + AD + C) \overset{Reduction}= $
$B(A + AD + C) \overset{Absorption}= $
$B(A + C) $