Digital Logic Systems: From Zero to Hero
Digital Logic Systems: From Zero to Hero
Welcome to the definitive course on Digital Logic Systems (Systèmes logiques)! Designed specifically for absolute beginners, this comprehensive program takes you step-by-step through the foundational theory and practical application of digital electronics. You will start with number systems and Boolean algebra, progress through the design of combinational and sequential circuits (including gates, decoders, multiplexers, flip-flops, and counters), and conclude with an introduction to modern system design concepts. By the end of this course, you will possess the theoretical knowledge and practical understanding required to analyze, design, and implement complex digital circuits, setting a strong foundation for advanced studies in computer architecture and electrical engineering.
Lessons
- What Are Digital Systems? Analog vs. Digital
- Number Systems: Decimal, Binary, and Hexadecimal
- Conversion Techniques (Decimal to Binary/Hex)
- Signed Numbers: 2's Complement Representation
- Introduction to Boolean Algebra
- Fundamental Logic Gates: AND, OR, NOT
- Derived Logic Gates: NAND and NOR (Universal Gates)
- Derived Logic Gates: XOR and XNOR
- Boolean Identities and Basic Theorems
- De Morgan's Theorems and Simplification Examples
- Standard Forms: SOP and POS
- Introduction to Karnaugh Maps (K-Maps)
- 2- and 3-Variable K-Map Minimization
- 4-Variable K-Map Minimization
- Handling Don't Care Conditions (X)
- Quine-McCluskey Method (Tabular Minimization)
- Implementing Logic Circuits from Expressions
- Practical Logic Constraints: Fan-in, Fan-out, and Delays
- Combinational Logic: Half Adder Design
- Full Adder Circuit Design
- Ripple Carry Adders (N-bit Parallel Adders)
- Subtractors and Adder/Subtractor Circuits
- Multiplexers (Mux): Data Selectors
- Designing Larger Muxes (4-to-1 and 8-to-1)
- Demultiplexers (DeMux) and Decoders
- Encoders (Priority Encoders)
- Comparators (Magnitude Comparators)
- Introduction to Sequential Logic Circuits
- Latches: The Unclocked SR Latch
- The Role of the Clock Signal and Synchronization
- Flip-Flops: SR Flip-Flop (Edge-Triggered)
- D Flip-Flop and its Applications (Data Storage)
- JK Flip-Flop: The Universal Flip-Flop
- T Flip-Flop (Toggle) and Frequency Division
- Timing Parameters (Setup, Hold, Propagation Delay)
- Metastability and Clock Skew Issues
- Introduction to Registers and Data Storage
- Basic Data Register Design (Parallel Load)
- Shift Registers: Serial In - Serial Out (SISO)
- Shift Registers: Parallel In - Parallel Out (PIPO)
- Introduction to Counters (Asynchronous vs. Synchronous)
- Ripple Counters (Asynchronous Up/Down Counters)
- Synchronous Counter Design using JK/D FFs
- Modulo-N Counters (Design Examples)
- Ring Counters and Johnson Counters
- Introduction to Semiconductor Memories (RAM vs ROM)
- Read-Only Memory (ROM) and Look-up Tables
- Programmable Logic Devices (PLDs): PLA and PAL
- Introduction to Finite State Machines (FSM)
- Future Directions: Introduction to Hardware Description Languages (HDL)