Logic Systems: Representations and Arithmetic

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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.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Datapath Design: Mandelbrot & Fixed-Point

Explores datapath design for Mandelbrot set and fixed-point number representation in digital systems.

Logic Systems: Basics and Operators

Covers the basics of logic systems, including digital versus analog circuits, logic operators, truth tables, and Boolean algebra.

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.

Number Theory: Integer Representation

Covers the representation of integers using different bases and the conversion between them.

BJT vs FET Operation

Compares BJT and FET operation in logic systems, discusses TTL vs CMOS technologies, and explores Set-Reset Latch functionality.

Boolean Algebra: Properties and Optimization

Covers Boolean algebra properties, optimization techniques, and the importance of valid groups in Karnaugh maps.

Digital Systems: Fixed and Floating Point Arithmetic

Discusses fixed-point and floating-point arithmetic in digital systems, covering operations, representations, and the implications of rounding errors.