A list of 15 laws and theorems of Boolean algebra is given of this unit. When you complete this unit, you should be familiar with and be able to use any of the first 12 of these.Specifically, you should be able to:
1. Understand the basic operations and laws of Boolean algebra.
2. Relate these operations and laws to circuits composed of AND gates, OR gates, and INVERTERS. Also relate these operations and laws to circuits composed of switches.
3. Prove any of these laws using a truth table.
4. Apply these laws to the manipulation of algebraic expressions including:
a. Multiplying out an expression to obtain a sum of products (SOP).
b. Factoring an expression to obtain a product of sums (POS).
c. Simplifying an expression by applying one of the laws.
d. Finding the complement of an expression.