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Homework Statement
1. Reduce the following logical expression to four literals and draw a gate level circuit, which implements the result.
$$AB + BCD + BC + A \bar C$$
2. Simplify the following:
$$(A + \bar B C)(B + C)(B + \bar C)$$
Homework Equations
The Attempt at a Solution
I would just like to verify I understand.
Here is my working for part 1:
For part 2 here's what I came up with:
$$(A + \bar B C)(B + C)(B + \bar C)$$
$$= (A + \bar B C)(B + C \bar C)$$
$$= (A + \bar B C)(B + 0)$$
$$= (A + \bar B C)B$$
$$= AB + \bar B B C$$
$$= AB + 0C$$
$$= AB + C$$
I think that's as simple as it can become.
Thank you.