Number Systems: Fixed and Floating Point Representations

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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.

Information Representation: Computation Module

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

Floating Point Numbers: Representation and Errors

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Floating Point Representation in Computers

Covers the representation of real numbers in a computer using floating point representation and the dangers of significant digit cancellation.

Nonlinear Equations: Representation of Real Numbers

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

Floating Point Representation: Consequences for Programming

Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.

Floating Point Numbers: Representation and Errors

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

Datapath Design: Mandelbrot & Fixed-Point

Explores datapath design for Mandelbrot set and fixed-point number representation in digital systems.

Logic Systems: Arithmetic Operations

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

Integer Representation: Positive Integers

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