Yes this is for a school class, and no I'm not asking anyone to do my homework. This is from an example.
I have a boolean algebra expression that I have to simplify. I also have the answer simplified expression. However I can't seem to get from the problem to the simplified answer using only standard boolean rules (can't use sum-of-product reduction).
P = (ABC' + D)' + (AB' + BC')'
Using Demorgan + some clean up I arrive at
- P =
D'(A' + B' + C) + (A' + B)(B' + C)or 3. P =
A'D' + B'D' + CD' + A'B' + A'C + BC
This is where I get stuck, as the simplified result is 3.
'A'B + BC + A'D' + CD'
Is it possible to get from #2 to #3 without using a sum-of-products reduction? If so, what are the algebraic steps?