Digital Systems: Fixed and Floating Point Arithmetic

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Floating Point Numbers: Representation and Errors

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

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.

Binary Representation of Real Numbers

Discusses the binary representation of real numbers and the precision errors involved.

Information Representation: Computation Module

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

Nonlinear Equations: Representation of Real Numbers

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

Information Representation: Real Numbers and Errors

Explores the representation of real numbers, errors, and precision in information.

Number Representation and Bitwise Operators

Explores number representation in computers and bitwise operators for practical programming applications.

Integer Representation: Positive Integers

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

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.

Logic Systems: Arithmetic Operations

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