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Digital Logic Design

Name: Digital Logic Design
Rating: 4.3 (22 reviews)

Combinational and Sequential Circuits Design and Analysis

Created byDr. Zahra Golrizkhatami

Last updated 9/2023

English

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.

Course content

7 sections • 48 lectures • 8h 55m total length

Introduction to Digital Systems + Lecture Slides with Animation14:55
Explore digital systems and computer information representation, covering number systems, base conversions, gray code, and how ADC and DAC convert signals between analog and discrete domains.
Numbers in different Bases: Binary, Octal, Hexadecimal22:03
Explore how numbers are represented in different bases, including decimal, binary, octal, and hexadecimal, with integer and fractional parts defined by the radix point and base powers.
Signed Numbers in Binary Representation15:00
BCD, Excess-3 and 8,4,-2,-1 Codes9:57
Quiz Solution - Radix Conversions5:21
Radix Conversion with Solution

Logical Gates (Nand, Nor, Xor and Buffer) + Lecture Slides with Animation7:38
Truth Table9:53
Build truth tables for three inputs X, Y, Z to verify and, or, and not expressions and confirm Demorgan's theorem via left-right equality proofs.
Logical Gates, Boolean Algebra and Truth Table (Part 1)18:56
Quiz Solution: Convert Boolean Expressions to SOP5:06
Boolean logic equation and Truth Table
SOP and POS Exercises with Solution

Fundamental of Karnaugh Map + Lecture Slides with Animation6:13
Three and Four Variable Karnaugh maps with Examples6:37
Transfer data from the truth table into three-variable and four-variable Karnaugh maps, group adjacent ones, wrap corners, and derive minimized msp expressions using gray code.
Use K-maps to obtain minimized SOP with Solution
Five Variable Karnaugh map with Examples11:55
Two and Three Variables Karnaugh Maps with Examples20:14
Standard Forms of Boolean Expressıon20:43
Sum of Minterms & Product of Maxterms Form8:55
Two and Three Variables Karnaugh Maps with Examples20:14
Three and Four Variable Karnaugh Maps with Examples6:37
Use K-maps to obtain minimized SOP with Solution

Combinational Logic Design - Hierarchical Design + Lecture Slides with Animation7:57
Combinational Circuit Design with an Example: Binary Comparator10:59
Combinational Design Examples: BCD to Excess-3 and BCD to 7-Segment Converters8:08
Quiz Solution: Implement a Function with 3×8 Decoder + OR Gate3:17
Decoders13:28
Encoders: Octal to Bınary Encoder and Priority Encoder6:12
Multiplexers17:43
Design a 4x16 Decoder by Using Five 2x4 Decoders6:03
Quiz Solution: Multiplexer3:45
Design a 4x16 Decoder by Using Five 2x4 Decoders6:03
Excess-3 to Binary Decoder11:33
Design an excess-3 to binary decoder by using unused combinations as don't care, build four Karnaugh maps for W, X, Y, Z, and derive simplified expressions.
Combinational Circuit Example6:21
Quiz Solution - Multiplexer.mp43:45
A Complete Example! Design an octal 2s-complement to 8-segment display+ Solution
Combinational Circuits Design Exercise with Solution

Arithmetic Functions and Circuits - Half Adder and Full Adder12:27
Explore how arithmetic functions and circuits perform binary addition using half adders and full adders, cascade them into a four-bit adder, and understand carry, sum, and overflow in unsigned numbers.
4-bit by 4-bit Multiplication Circuit9:00
4-bit Magnitude Comparator Circuit - Part 112:48
4-bit Magnitude Comparator Circuit - Part 215:54

Registers4:34
Shift Registers7:05
Universal Shift Register6:45
Explore a four-bit universal shift register that supports parallel load, read, and left or right shift via select lines and multiplexers, including serial input and serial out.
Serial Adder by using Shift Registers1:59
Explore how a serial adder uses two shift registers and a single full adder to add binary numbers bit by bit, propagating carry with each right shift.
Counters21:12
3-bit Counter with Two Operating Modes Example17:29
Ripple Counter Analysis Example8:32
Ripple Counter Analysis Example8:32

Requirements

You will learn everything you need to know.

Description

Updates:

Several Assignments with solutions are added (Sep 14, 2023)
A new set of WONDERFUL lecture slides with animation and several step-by-step solved examples are added(Sep 16, 2023).

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 to

1. 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 requirements

6. 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.

Who this course is for:

Electrical and Electronics Students, Computer Engineering and Computer Science Students

Digital Logic Design

What you'll learn

Explore related topics

Course content

Introduction, Number Systems, Binary Numbers5 lectures • 1hr 7min

Logic Gates and Boolean Algebra4 lectures • 42min

Gate-level minimization8 lectures • 1hr 41min

Combinational logic design13 lectures • 1hr 45min

Arithmetic functions4 lectures • 50min

Sequential Circuit Analysis & Design6 lectures • 1hr 34min

Registers, Counters, and serial operations8 lectures • 1hr 16min

Requirements

Description

Who this course is for: