- #1

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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.