- #1
fend
- 8
- 0
Homework Statement
Convert the following expression into sum of products and products of sums
(AB+C)(B+C'D)
Homework Equations
Distributive Property
The Attempt at a Solution
for product of sums it would be (AB+C)(B+C'D) since it is already in this form.
When calculating sum of products I get...
(AB+C)(B+C'D) = ABB+ABC'D+CB+CC'D = ABB+ABC'D+CB+0D = ABB+ABC'D+CB
= A*1+ABC'D+CB = A+ABC'D+CB (this is where I get confused)
=A(1+BC'D)+CB
(I know 1+X=1 but what about 1+BC'D? Can I reduce this further of would A(1+BC'D)+CB be in the correct form?)