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Lecture
Floating Point Representation: Consequences for Programming
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Floating Point Numbers: Representation and Errors
Explores floating point numbers, their representation, precision, and associated errors.
Information Representation: Computation Module
Explores the representation of information, rounding errors, and image encoding.
Number Systems: Fixed and Floating Point Representations
Discusses fixed-point and floating-point number representations in digital systems, highlighting their structures, advantages, and applications in computing.
Nonlinear Equations: Representation of Real Numbers
Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.
Number Representation and Bitwise Operators
Explores number representation in computers and bitwise operators for practical programming applications.
Binary Representation of Real Numbers
Discusses the binary representation of real numbers and the precision errors involved.
Information Representation: Real Numbers and Errors
Explores the representation of real numbers, errors, and precision in information.
Integer Representation: Positive Integers
Covers the representation of positive integers, binary notation, machine limitations, overflow, and floating-point representation.
Floating Point Numbers: Representation and Errors
Covers the representation of floating point numbers and the importance of uniform relative error.
Floating Point Numbers: LU Decomposition and Errors
Explores floating point numbers, LU decomposition, errors, and matrix properties.