Lectures related to Floating Point Numbers: Representation and Errors

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.

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Numerical Analysis: Algorithms and Concepts

Covers algorithms for mathematical problems, focusing on stability, precision, and critical result analysis.

Floating point numbers

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

Floating Point Numbers: Extended Precision

Explores the representation of numbers using extended floating point notation.

Logic Systems: Arithmetic Operations

Covers classic pen-and-paper methods for arithmetic operations and binary representations of numbers.

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.

Effect of Rounding Errors in Linear Systems

Explores the effect of rounding errors in solving linear systems using the LU factorization method.