Number Systems: Fixed and Floating-Point Representations

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Binary Representation of Real Numbers

Discusses the binary representation of real numbers and the precision errors involved.

Information Representation: Computation Module

Explores the representation of information, rounding errors, and image encoding.

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Nonlinear Equations: Representation of Real Numbers

Discusses the representation of real numbers in various bases and the implications of floating-point arithmetic.

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.

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.

Number Representation and Bitwise Operators

Explores number representation in computers and bitwise operators for practical programming applications.

Floating Point Numbers: Representation and Errors

Explores floating point numbers, their representation, precision, and associated errors.