## Mathematical Proofs

###### It's important to understand how to use commutative, associative, and distributive rules to manipulate and simplify logical expression.  Other laws such as DeMorgan's Law and the Tautology Law are also useful when trying to algebraically simplify complicated logical expressions.

Logical Expression Simplification Example 01

3/6/14

Running Time: 4:41

Starting with a "complicated" logical expression, we apply logical law's (.e.g. DeMorgan's law, Tautology law, etc) to simplify the logical expression.  The validity of the simplified logical expression is verified by constructing a truth table.

Logical Expression Simplification Example 02

3/6/14

Running Time: 4:53

Starting with a "complicated" logical expression, we apply logical law's (.e.g. DeMorgan's law, Tautology law, etc) to simplify the logical expression.  The validity of the simplified logical expression is verified by constructing a truth table.

Logical Expression Simplification Example 03

3/6/14

Running Time: 4:46

Starting with a "complicated" logical expression, we apply logical law's (.e.g. DeMorgan's law, Tautology law, etc) to simplify the logical expression.  The validity of the simplified logical expression is verified by constructing a truth table.