Vol. IV - Digital
The world of electronics was initially dominated by analogue signals—that is, signals representing a continuous range of values. In digital circuitry, however, there are only two states: on and off, also referred to as 1 and 0, respectively. Digital information has its roots back in the Victorian era thanks to George Boole, who developed the idea of Boolean algebra.
Every aspect of our lives is increasingly becoming integrated and connected by the Internet of Things (IoT), which consists of computers and embedded systems. These devices are controlled by software which at its core is Boolean logic in conjunction with digital information. The world around us is analogue, but with every passing day our interaction with the world is becoming more digital and more integrated.
Chapter 7: Boolean Algebra
Chapter 8: Karnaugh Mapping
- Introduction to Karnaugh Mapping
- Venn Diagrams and Sets
- Boolean Relationships on Venn Diagrams
- Making a Venn Diagram Look Like a Karnaugh Map
- Karnaugh Maps, Truth Tables, and Boolean Expressions
- Logic Simplification With Karnaugh Maps
- Larger 4-variable Karnaugh Maps
- Minterm vs Maxterm Solution
- Sum and Product Notation
- Don’t Care Cells in the Karnaugh Map
- Larger 5 & 6-variable Karnaugh Maps