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Author Ginat, David
Source ACM Digital Library
Content type Text
Publisher Association for Computing Machinery (ACM)
File Format PDF
Copyright Year ©2002
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Algorithmic problem solving ♦ Binary representation ♦ Education ♦ Games ♦ Invariant properties
Abstract The effectiveness of viewing, representing, and manipulating data via binary values is illustrated in the domain of algorithmic problem solving. A variety of illuminating binary aspects, regarded as binary perspectives, are displayed through four lively algorithmic challenges, some of which are two-player games. The illustrations demonstrate the benefits of invoking binary representation of numbers, binary complement, bit-by-bit processing, parity considerations, and the reduction of an integer task into a 0/1 task. The solutions to the challenges are presented gradually, encapsulating general algorithmic considerations and problem-solving methods, including invariant properties, stepwise refinement, processing by atomic components, auxiliary coloring, backward reasoning, and inductive generalization. Each of the illustrations is tied to a variety of referenced algorithmic schemes and applications, which employ the aspects demonstrated in this article. The variety of binary aspects, algorithmic considerations, and problem-solving methods make these illustrations appealing teaching resources for computer science educators, in particular in the domain of algorithms.
ISSN 15314278
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2002-06-01
Publisher Place New York
e-ISSN 15314278
Journal Journal on Educational Resources in Computing (JERIC)
Volume Number 2
Issue Number 2

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Source: ACM Digital Library