Working as an engineer with advanced weapon systems for more than 25 years, it was crucial to understand the fundamentals of numbering systems, logic gate design, and the logical math known as Boolean Algebra. Whether as a technician or engineer, these fundamentals are the basics of engineering and are essential in interpreting logic gate functionality. The intent of this book is to provide much more information than most commercial engineering references currently offer. In Chapter 1, numbering systems such as binary, octal, hexadecimal, gray code, binary-coded decimal, and other systems are discussed. Chapter 2 discusses constants and variables, implementing the basic design of truth tables, basic gate operators, and several other logic gate designs. Chapter 3 provides a broad array of Boolean Algebra symbology and logic gate operations, discussing topics such as properties, theorems, implementing and interpreting truth tables from Boolean Algebra expressions, finding minterms and maxterms from symbology expressions, and more. The chapter review and chapter answer sections provide an extensive number of questions with comprehensive insight to showing how to attain the answers. This book will be an extremely valuable asset for technical and engineering students studying digital system design.