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Chapter 2
Binary Values and Number Systems
Binary, Octal, and Hexadecimal
The base2 (binary) number system is important in computing. It is also
helpful to be familiar with number systems that are powers of 2, such as
base 8 (octal), and base 16 (hexadecimal). Remember that the base value
specifies the number of digits in the number system. Base 10 has ten digits
(0–9), base 2 has two digits (0–1), and base 8 has eight digits (0–7). There
fore, the number 943 could not represent a value in any base less than base
10, because the digit 9 doesn’t exist in those bases. It is, however, a valid
number in base 10 or any base higher than that. Likewise, the number
2074 is a valid number in base 8 or higher, but it simply does not exist
(because it uses the digit 7) in any base lower than that.
What are the digits in bases higher than 10? We need symbols to repre
sent the digits that correspond to the decimal values 10 and beyond. In
bases higher than 10, we use letters as digits. We use the letter A to repre
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This note was uploaded on 01/13/2011 for the course CSE 1550 taught by Professor Marianakant during the Fall '10 term at York University.
 Fall '10
 MARIANAKANT

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