Floating Point Numbers: Representation and Errors

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Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Integer Representation: Positive Integers

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

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.

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors in numerical computations, and the impact of round-off errors.

Effect of Rounding Errors in Linear Systems

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

Numerical Methods in Matlab

Covers derivation, integration, and simulation in Matlab, along with the representation of numbers and potential errors.

Information Representation: Binary Representations

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