Lectures related to Computer Arithmetic (Integers)

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

Introduces Z/mZ for writing equations with congruence classes in modular arithmetic.

Covers the properties of subtraction and the distributivity of multiplication.

Covers the binary representation of integers, including positive and negative numbers.

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

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

Covers absolute value, subtraction in integers, and comparisons between integers.

Introduces Cartesian product and induction for proofs using integers and sets.

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

Covers the basics of group theory, including definitions, examples, and isometries.