The Majority Function is
1: A.B.¬C + A.¬B.C + ¬A.B.C + A.B.C
I can see intuitively that it can be simplified to
2: A.B + A.C + B.C
and thus A.(B + C) + B.C
but how can I use boolean algebra to get from one to the other?
This is where I get too so far
A.B.¬C + A.¬B.C + ¬A.B.C + A.B.C
= A.B.¬C + A.¬B.C + B.C.(¬A + A)
= A.B.¬C + A.¬B.C + B.C
= A(B.¬C + ¬B.C) + B.C
but I can't figure out how to rearrange the B.¬C + ¬B.C part to get the B + C that I need. Can anyone help?