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Lecture
Computer Arithmetic: Floating Point Numbers
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Information Representation: Real Numbers and Errors
Explores the representation of real numbers, errors, and precision in information.
Floating Point Numbers: Representation and Errors
Introduces floating point number representation, round-off errors, and their impact on numerical computations.
Information Representation: Computation Module
Explores the representation of information, rounding errors, and image encoding.
Floating Point Representation: Consequences for Programming
Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.
Floating Point Numbers: Representation and Errors
Explores floating point numbers, their representation, precision, and associated errors.
Logic Systems: Arithmetic Operations
Covers classic pen-and-paper methods for arithmetic operations and binary representations of numbers.
Floating Point Representation in Computers
Covers the representation of real numbers in a computer using floating point representation and the dangers of significant digit cancellation.
Number Representation and Bitwise Operators
Explores number representation in computers and bitwise operators for practical programming applications.
Integer Representation: Positive Integers
Covers the representation of positive integers, binary notation, machine limitations, overflow, and floating-point representation.
Nonlinear Equations: Representation of Real Numbers
Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.