Number Theory: Integer Representation

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Related lectures (19)

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Number Theory: Integer Representation

Covers the representation of integers using different bases and algorithms for base expansion.

Decimal Expansion: Division and Periodicity

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Information Representation: Numbers and Operations

Covers the representation of numbers using binary patterns and computation operations.

Bitwise Operators: Integers Types

Covers bitwise operators for integers and representing colors using 32-bit integers.

Decimal Development

Delves into infinite decimal numbers, exploring convergence and divergence, and showcasing examples of rational and irrational numbers.

Logic Systems: Representations and Arithmetic

Explores logic system representations, place-value notation, addition, subtraction, and digital system limitations, culminating in a multifunction alarm watch project.

Number Representation and Algorithms

Explores number representation, algorithms, recursion, and probabilities in decimal and binary.

Computer Arithmetic (Integers)

Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.

Integer Representation: Positive Integers

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