Combinational and Sequential Circuits Design and Analysis
What you'll learn
Be able to describe and use a variety of digital circuit components
Be able to design and model digital combinational systems
Be able to design and Analysis digital sequential systems
Be able to use different digital components to design a system
Be able to understand the basic concept of logic gates and design of circuits.
Learn the basic concept of K- Map and simplification methods.
Requirements
You will learn everything you need to know.
Description
This course introduces the basic concepts of digital systems, such as number systems, boolean algebra, logic networks and their simplification, canonical forms, combinatorial circuits, adders, decoders, encoders, multiplexers, flip-flops, sequential circuit analysis and design, registers, counters, memory and programmable logic.This course is designed to teach students how to design a digital logic circuit to perform a specific desired function. This course will give students a much better understanding of how the internals of a computer work. so our course aims to teach students the fundamentals of digital logic design. Starting from learning the basic concepts of the different base number systems ( Binary - Decimal - Hexadecimal ) and their Conversions to basic logic elements and deriving logical expressions to optimize a circuit diagram further. Also, This course is structured in such a way that each section is dedicated to a specific topic in regards to digital electronics and Logic Design. Each section of the lecture describes the different tools and techniques used to design digital logic circuits.There are assignments and Exercises throughout this course that students can use to put the theory taught to practical use.After completing this course, you'll be able to1. Understand all the fundamentals of number systems and perform conversions between them.2. Function of logic circuits and how to design them.3. Classify Combinational Logic and Sequential Logic.4. How to design a combinational logic circuit for a given scenario with the minimum number of gates possible.5. Use all the standard techniques to minimize the logic gate requirements6. Design sequential logic circuits like Counters and Shift Registers using Flip flops.7. Understand the workings of various flip flops and latches and highlight the differences between them.
Overview
Section 1: Introduction, Number Systems, Binary Numbers
Lecture 1 Introduction to Digital Systems
Lecture 2 Numbers in different Bases: Binary, Octal, Hexadecimal
Lecture 3 Signed Numbers in Binary Representation
Lecture 4 BCD, Excess-3 and 8,4,-2,-1 Codes
Lecture 5 Quiz Solution - Radix Conversions
Section 2: Logic Gates and Boolean Algebra
Lecture 6 Logical Gates (Nand, Nor, Xor and Buffer)
Lecture 7 Truth Table
Lecture 8 Logical Gates, Boolean Algebra and Truth Table (Part 1)
Lecture 9 Quiz Solution: Convert Boolean Expressions to SOP
Section 3: Gate-level minimization
Lecture 10 Fundamental of Karnaugh Map
Lecture 11 Three and Four Variable Karnaugh maps with Examples
Lecture 0 Five Variable Karnaugh map with Examples
Lecture 12 Two and Three Variables Karnaugh Maps with Examples
Lecture 13 Standard Forms of Boolean Expressıon
Lecture 14 Sum of Minterms & Product of Maxterms Form
Lecture 15 Two and Three Variables Karnaugh Maps with Examples
Lecture 16 Three and Four Variable Karnaugh Maps with Examples
Section 4: Combinational logic design
Lecture 17 Combinational Logic Design - Hierarchical Design
Lecture 18 Combinational Circuit Design with an Example: Binary Comparator
Lecture 19 Combinational Design Examples: BCD to Excess-3 and BCD to 7-Segment Converters
Lecture 20 Quiz Solution: Implement a Function with 3x8 Decoder + OR Gate
Lecture 21 Decoders
Lecture 22 Encoders: Octal to Bınary Encoder and Priority Encoder
Lecture 23 Multiplexers
Lecture 24 Design a 4x16 Decoder by Using Five 2x4 Decoders
Lecture 25 Quiz Solution: Multiplexer
Lecture 26 Design a 4x16 Decoder by Using Five 2x4 Decoders
Lecture 27 Excess-3 to Binary Decoder
Lecture 28 Combinational Circuit Example
Lecture 29 Quiz Solution - Multiplexer.mp4
Section 5: Arithmetic functions
Lecture 30 Arithmetic Functions and Circuits - Half Adder and Full Adder
Lecture 31 4-bit by 4-bit Multiplication Circuit
Lecture 32 4-bit Magnitude Comparator Circuit - Part 1
Lecture 33 4-bit Magnitude Comparator Circuit - Part 2
Section 6: Sequential Circuit Analysis & Design
Lecture 34 Sequential Circuits: Latches
Lecture 35 Sequential Circuits: Flip-Flops Variations (D-FF, T-FF, JK-FF)
Lecture 36 Sequential Circuit Analysis
Lecture 37 J-K flipflops Analysis Example
Lecture 38 JK Flip-flops Analysis
Lecture 39 Sequential Circuit Design
Section 7: Registers, Counters, and serial operations
Lecture 40 Registers
Lecture 41 Shift Registers
Lecture 42 Universal Shift Register
Lecture 43 Serial Adder by using Shift Registers
Lecture 44 Counters
Lecture 45 3-bit Counter with Two Operating Modes Example
Lecture 46 Ripple Counter Analysis Example
Lecture 47 Ripple Counter Analysis Example
Electrical and Electronics Students, Computer Engineering and Computer Science Students
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