Floating-point arithmetic

Formal sciences
Mathematics
Analysis
Numerical analysis

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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.

Information Representation: Binary Representations

Explores binary information representation, efficiency, byte usage, and integer representation.

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Information Representation: Negative Integers

Explores the representation of negative integers using Two's Complement and practical examples for efficient calculations.

Montgomery Multiplication

Covers Barrett reduction, Montgomery form of integers, and efficient Montgomery product computation.

Floating Point Numbers: Representation and Errors

Explores the representation of floating point numbers and the importance of error analysis.

Floating point numbers

Covers the concept of floating point numbers and their representation in computer systems.

Information Representation: Computation Module

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

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.

Computer Arithmetic: Floating Point Operations

Covers the basics of computer arithmetic, focusing on floating point numbers and their operations.