Microcontroller Programming

1

Number Systems, Operations, and Codes

… Read Euler, because in his writings all is clear, well calculated, because they teem with beautiful examples, and because one must always study the sources.

—Joseph L. Lagrange* (on his deathbed, 1813)

OUTLINE

1.1    Introduction

1.2    Digital versus Analog Quantities

1.3    Digital Numbering System (Base 10)

1.4    Binary Numbering System (Base 2)

1.5    Octal Numbering System (Base 8)

1.6    Hexadecimal Numbering System (Base 16)

1.7    Binary-Coded-Decimal System

1.8    Binary Conversions

1.9    Binary Operations

1.10  Octal Conversions

1.11  Hexadecimal Conversions

1.12  Hexadecimal Operations

1.13  1’s and 2’s Complements of Binary Numbers

1.14  Signed Numbers

1.15  The ASCII Code

1.16  Summary ...