Drawing a circuit diagram for a Boolean expression

• Engineering

Homework Statement

Draw the logic diagram for the following Boolean expression. The diagram
should correspond exactly to the equation. Assume the complements of the inputs are
not available.

B(A'C'+AC) + D'(A+B'C)

The Attempt at a Solution

I can't find any way to simplify the expression in order to remove the complements.

So, I tried to look for other ways to solve the problem. I'm wondering if I could use a NAND gate or a NOR gate since these are considered to be universal gates and can represent an inverter.