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created: 07/04/96; 2nd edition: 03/20/01; corrected 09/19/01; audio: 12/12/03; revised 05/19/15

CHAPTER 7 — Binary and Hex Integer Representation

Base 16 is often used to represent integers. Integers represented in base 16 are said to be represented with hexadecimal notation. The hexadecimal representation of an integer is equivalent to the pattern name of the bits in the binary representation of the integer.

It is easy to convert the representation of an integer between binary and hexadecimal. Converting representations between decimal and an arbitrary base is somewhat more difficult. The chapter presents some algorithms for doing this.

Chapter Topics:


A particular number is represented by 1010 (binary representation). What is the number represented in base ten?