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Lecture
Integer Representation: Positive Integers
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Integers Representation: Sign vs. Two's Complement
Explores integer representation methods, comparing sign-and-magnitude with two's complement, and introduces fixed-point and floating-point representations.
Floating Point Representation: Consequences for Programming
Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.
Nonlinear Equations: Representation of Real Numbers
Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.
Floating Point Numbers: Representation and Errors
Explores floating point numbers, their representation, precision, and associated errors.
Binary Representation of Real Numbers
Discusses the binary representation of real numbers and the precision errors involved.
Floating Point Numbers: Representation and Errors
Covers the representation of floating point numbers and the importance of uniform relative error.
Number Representation and Bitwise Operators
Explores number representation in computers and bitwise operators for practical programming applications.
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Information Representation: Binary Representations
Explores binary information representation, efficiency, byte usage, and integer representation.
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.