Binary Operations: Addition and Multiplication

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Prime Numbers and Algorithms

Covers prime numbers, primality testing algorithms, modular arithmetic, and efficient exponentiation methods.

Quotients of Groups by Relations of Equivalence

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Binary Numbers and Bit Fields

Introduces binary numbers, modular arithmetic, signed numbers, and character encoding in C.

Algorithms Exam Preparation

Offers a recap before the Algorithms exam, covering problem-solving strategies and algorithm implementation with sample problems.

Exponentiation: Time Complexity

Covers the fast exponentiation algorithm and its time complexity, prime number properties, and the El-Gamal encryption scheme.

Algorithms in Computer Science: Search and Sort Techniques

Provides an overview of essential search and sort algorithms in computer science.

Principal Ideal Domains: Structure and Homomorphisms

Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.

Integer Representations: Magnitude & Complement

Explores integer representations, focusing on sign-and-magnitude, one's complement, two's complement, Excess-N, overflow, underflow, and binary multiplication.

Rudiments of Number Theory

Introduces modulo arithmetic, Euclid's algorithm, and congruence in number theory.

Algorithms: Final Exam Review

Provides a detailed review of the 2016 final exam, covering various algorithmic problems.