Lectures related to Arithmetic with Base 2 Expansions

Computer Arithmetic: Floating Point Numbers

Explores computer arithmetic, emphasizing fixed-point and floating-point numbers, IEEE 754 standard, dynamic range, and floating-point operations in MIPS architecture.

Logic Systems: Arithmetic Operations

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

Polynomial Applications: Combinatorial Computations

Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.

Division in Rational Numbers

Explores division in rational numbers and the extension of addition from integers.

Elliptic Curve Cryptography: Galois Fields

Explores Galois fields, elliptic curve cryptography, arithmetic operations, group structure, and practical examples in cryptography.

Vector Spaces: Definitions and Properties

Covers the definitions and properties of vector spaces, including axioms and examples.