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The Beginner's Guide to Digital Design
10 students

The Beginner's Guide to Digital Design

Digital Electronics
Last updated 2/2025
English

What you'll learn

  • Understand Decimal and Binary Number Systems.
  • Convert Between Binary and Decimal Systems.
  • Understand the Basics of Hexadecimal Numbers.
  • Interpret Bytes and Nibbles.
  • Perform Binary Addition.
  • Identify and Resolve Overflow Issues in Binary Arithmetic.
  • Understand Signed Number Representation.
  • Work with Two’s Complement Representation.
  • Handle Two’s Complement Overflow.
  • Perform Binary Subtraction Using Two’s Complement.
  • Extend Sign Bits in Signed Numbers.
  • Recognize and Resolve Range Issues in Signed Numbers.
  • Understand Basic Logic Gates including AND, OR, NOT, NAND, NOR, XOR, and XNOR.
  • Interpret and Create Truth Tables.
  • Simplify Boolean Expressions.
  • Design Digital Circuits.
  • Understand the Role of Buffers.
  • Analyze Multi-Input Logic Gates.
  • Work with Parity Circuits.
  • Solve Practical Problems Using Logic Gates.
  • Understand and Implement Gate-Level Minimization.
  • Understand Digital Abstraction Concepts.
  • Identify Different Supply Voltages.
  • Define and Work with Logic Levels.
  • Calculate and Interpret Noise Margins.
  • Understand DC Transfer Characteristics.
  • Explain the Role of Semiconductors in Electronics.
  • Describe the Function of Diodes in Circuits.
  • Understand the Role and Operation of Capacitors.
  • Describe MOSFET Operation.
  • Differentiate Between Types of MOSFETs.
  • Analyze nMOS and pMOS Transistor Operation.
  • Design CMOS Circuits.
  • Implement Basic Logic Gates Using Transistors.
  • Work with Series and Parallel Transistor Configurations.
  • Create and Analyze Two-Input Logic Gates Using CMOS.
  • Boolean Equations
  • Sum-of-Products (SOP) and Product-of-Sums (POS)
  • Boolean Axioms and Laws (Identity, Null, Idempotent, Complement, De Morgan’s Law, etc.)
  • Equation Minimization Techniques
  • Converting Boolean Equations to Schematics
  • Priority Encoders
  • Multi-Level Combinational Logic
  • Karnaugh Maps (K-Maps)
  • Prime Implicants and Redundant Prime Implicants
  • Logic Minimization using K-Maps
  • SOP and POS Forms for 3 and 4 Variables
  • Binary Coded Decimal (BCD) and 7-Segment Display Encoding
  • Bubble Pushing
  • High Impedance ('z') and Unknown Values ('x')
  • Pull-Up and Pull-Down Resistors
  • Tristate Buffers
  • Gray Code
  • Implementing logic functions using 2:1 MUX
  • NAND, NOR, XOR, and XNOR using 2:1 MUX
  • Exercises and solutions for 8x1 and 16x1 Multiplexers
  • 3:8 and 4:16 Decoders with exercises and solutions
  • Contamination and Propagation Delay
  • Critical and Short Path Analysis
  • Glitches in Combinational Circuits
  • Understanding the difference between combinational and sequential circuits.
  • Role of clock signals in sequential circuits.
  • Concept of triggering and bistable elements.
  • SR Latch
  • JK Latch
  • D Latch
  • T Latch
  • Functional behavior and use cases of each latch type.
  • D Flip-Flop
  • Registers
  • Flip-Flop with Enable
  • Flip-Flop with Synchronous and Asynchronous Reset
  • Settable Flip-Flops
  • How flip-flops store and transfer data in digital circuits.
  • Understanding FSMs and their role in digital design.
  • Mealy State Machine vs. Moore State Machine.
  • State Encoding in FSMs.
  • Practical FSM designs like a Traffic Light Controller.
  • Designing sequence detectors using both Moore and Mealy FSMs.

Course content

5 sections285 lectures15h 17m total length
  • Decimal Numbers5:11
  • Decimal Numbers0:48

    This is lecture description

  • Binary Numbers3:07
  • Binary Numbers0:56
  • Binary Numbers Continued1:12
  • Binary Numbers Continued0:27
  • Binary To Decimal Conversion2:15
  • Binary To Decimal Conversion0:58
  • Decimal To Binary Conversion2:24
  • Decimal To Binary Conversion0:46
  • Hexadecimal Numbers6:58
  • Hexadecimal Numbers1:35
  • Bytes and Nibbles3:37
  • Bytes and Nibbles2:10
  • Decimal To Hexadecimal Conversion2:11
  • Decimal To Hexadecimal Conversion0:58
  • Binary Addition3:00
  • Binary Addition0:50
  • Binary Addition Example1:51
  • Binary Addition Example0:45
  • Overflow2:58
  • Overflow1:08
  • Signed Numbers8:22
  • Signed Numbers1:34
  • Two's Complement Representation Example3:04
  • Two's Complement Representation Example0:49
  • Two's Complement Representation Example2:47
  • Two's Complement Representation Example0:47
  • Two's Complement Addition3:09
  • Two's Complement Addition1:01
  • Two's Complement Subtraction3:39
  • Two's Complement Subtraction1:26
  • Two's Complement of Zero2:56
  • Two's Complement of Zero1:14
  • Two's Complement Range and Overflow5:19
  • Two's Complement Range and Overflow1:55
  • Two's Complement Overflow Example2:42
  • Two's Complement Overflow Example0:58
  • Sign Extension3:14
  • Sign Extension0:53

Requirements

  • Understanding of basic arithmetic operations (addition, subtraction, multiplication, division).
  • Familiarity with exponents and powers.
  • Ability to understand and apply logical reasoning.
  • Basic problem-solving skills.
  • Curiosity about how numbers and data are represented in computers and digital systems.
  • The course is designed for beginners with no prior experience in number systems or digital electronics.
  • All necessary concepts and techniques will be introduced and explained from the ground up.

Description

The course on Digital Logic Design and Sequential Circuits offers a comprehensive introduction to digital electronics, covering essential topics from fundamental number systems and logic gates to advanced sequential circuits and finite state machines (FSMs). The curriculum is designed to provide a strong foundation in both combinational and sequential logic, enabling learners to design and analyze complex digital systems. It includes topics such as decimal, binary, and hexadecimal numbers, binary addition, and signed numbers. The course delves into the functionality and applications of various logic gates, including AND, OR, NOT, XOR, NAND, NOR, and XNOR, along with N-input gates and parity gates. Analog concepts such as digital abstraction, supply voltage, noise margins, and logic levels are also covered, along with an introduction to transistors and DC transfer characteristics. Learners will explore combinational circuits, including Boolean equations, simplification techniques, Sum-of-Products (SOP), Product-of-Sums (POS) forms, Karnaugh Maps, Gray Code, Binary Coded Decimal (BCD), and practical components like multiplexers, decoders, and tristate buffers. The sequential circuits section covers critical topics such as clock signals, triggering, bistable elements, latches, and flip-flops, leading to finite state machines, including Mealy and Moore machines, with practical examples such as traffic light controllers and sequence detectors. The course also addresses advanced topics, including contamination and propagation delays, critical and short path analysis, and handling glitches in combinational circuits. By the end of this course, participants will gain the knowledge and skills to design, simulate, and optimize both combinational and sequential logic circuits, making it ideal for electronics and computer engineering students, VLSI freshers, and professionals seeking to enhance their expertise in digital design and verification.

Who this course is for:

  • Students studying computer science, electrical engineering, or related fields who need to understand number systems and their applications.
  • Hobbyists and enthusiasts interested in learning about the fundamentals of how numbers are represented and manipulated in digital systems.
  • Individuals looking to start a career in programming, software development, or embedded systems who need a solid understanding of number systems.
  • Those preparing for technical interviews or certification exams where knowledge of number systems is required.
  • Professionals in IT, engineering, or related fields who want to refresh their understanding of number systems and their applications in modern technology.
  • Teachers and trainers looking for comprehensive material to teach number systems to their students or trainees.