Lectures related to Floating Point Representation in Computers

Floating Point Numbers: Representation and Errors

Covers the representation of floating point numbers and the importance of uniform relative error.

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.

Numerical Analysis: Algorithms and Concepts

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

Integer Representation: Positive Integers

Covers the representation of positive integers, binary notation, machine limitations, overflow, and floating-point representation.

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Floating Point Numbers: Extended Precision

Explores the representation of numbers using extended floating point notation.

Effect of Rounding Errors in Linear Systems

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

Logic Systems: Arithmetic Operations

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

Floating Point Numbers: Representation and Errors

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