What every computer scientist should know about floating-point arithmetic
ACM Computing Surveys (CSUR)
Mathematics and computer science at odds over real numbers
SIGCSE '91 Proceedings of the twenty-second SIGCSE technical symposium on Computer science education
CGI programming on the World Wide Web
CGI programming on the World Wide Web
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Numerical computing with IEEE floating point arithmetic
Numerical computing with IEEE floating point arithmetic
Numerical Computation, Volume I
Numerical Computation, Volume I
Computer Organization and Design: The Hardware/Software Interface
Computer Organization and Design: The Hardware/Software Interface
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In this work we present an initiative to support teaching computer representation of numbers (both integer and floating point) as well as arithmetic in undergraduate courses in computer science and engineering. Our approach is based upon a set of carefully designed practical exercises which highlights the main properties and computational issues of the representation. In conjunction to the exercises, an auxiliary computer-based environment constitutes a valuable support for students to learn and understand the concepts involved. For integer representation, we have focused on the standard format, the well known 2's complement. For floating point representation, we have made use of an intermediate format as an introduction to the IEEE 754 standard. Such an approach could be included in an introductory course related to either computer structure, discrete mathematics or numerical methods.