Number Systems, Operations, and Codes

Abstract

In this chapter various number systems and conversions between them are presented and explained. The number systems concerned here are: the decimal system, the binary system, the hexadecimal system and the binary-coded decimal (BCD) code (i.e. an encoding for decimal numbers, in which each digit is represented by its own binary sequence to allow easier conversion to decimal digits and faster decimal calculations). The chapter, besides providing examples explaining conversions of whole numbers also shows the way of converting binary fractions to decimal ones (and opposite).