Combinational logic circuits by Tahir YasinTAHIR YASIN
This research paper defines the digital electronics and its one type combinational circuits.
Combinational circuits is based on the Boolean expression so also gives the brief introduction about Boolean algebra and also describes the different forms of circuits and also describes the minimization techniques of combinational logic circuits and some general application of combinational circuit
Follow me on twitter @Tahiryasin971
Email: tahiryasin758@gmail.com
DLD Presentation By Team Reboot,Rafin Rayan,EUBRafin Rayan
Digital Logic Design Presentation By Team Rboot ,Student's of Computer Science & Engineering Department , European University Of Bangladesh . Total 4 Member's Team &Team Leader is Rafin Rayan (Dept. Of CSE,EUB)
This topic introduces the numbering systems: decimal, binary, octal and hexadecimal. The topic covers the conversion between numbering systems, binary arithmetic, one's complement, two's complement, signed number and coding system. This topic also covers the digital logic components.
Combinational logic circuits by Tahir YasinTAHIR YASIN
This research paper defines the digital electronics and its one type combinational circuits.
Combinational circuits is based on the Boolean expression so also gives the brief introduction about Boolean algebra and also describes the different forms of circuits and also describes the minimization techniques of combinational logic circuits and some general application of combinational circuit
Follow me on twitter @Tahiryasin971
Email: tahiryasin758@gmail.com
DLD Presentation By Team Reboot,Rafin Rayan,EUBRafin Rayan
Digital Logic Design Presentation By Team Rboot ,Student's of Computer Science & Engineering Department , European University Of Bangladesh . Total 4 Member's Team &Team Leader is Rafin Rayan (Dept. Of CSE,EUB)
This topic introduces the numbering systems: decimal, binary, octal and hexadecimal. The topic covers the conversion between numbering systems, binary arithmetic, one's complement, two's complement, signed number and coding system. This topic also covers the digital logic components.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
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1. DEE2034 : DIGITAL ELECTRONICS
CHAPTER 2 : BOOLEAN
OPERATIONS by : Siti Sabariah Salihin
Electrical Engineering Department
sabariah@psa.edu.my
2. Programme Learning Outcomes, PLO
Upon completion of the programme, graduates should be able to:
• PLO 1 : Apply knowledge of mathematics, scince and engineering
fundamentals to well defined electrical and electronic engineering
procedures and practices
Course Learning Outcomes, CLO
• CLO 1 : Illustrate the knowledge of digital number systems,codes
and ligic operations correctly
• CLO 2 : Simplify and design combinational and sequential logic
circuits by using the Boolean Algebra and the Karnaugh Maps.
CHAPTER 2 : BOOLEAN OPERATIONS
EE 202 : DIGITAL ELECTRONICS
DEE2034 : DIGITAL ELECTRONICS
3. Upon completion of this Topic 2
student should be able to:
2.1 Know the symbols,operations and functions of logic gates.
2.1.1 Draw the symbols, operations and
functions of logic gates.
2.1.2 Explain the Function of Logic gates using Truth
Table.
2.1.3 Construct AND, OR and NOT gates using only
NAND gates.
2.2 Know the basic concepts of Boolean Algebra and use them in
Logic circuits analysis and design.
2.2.1 Construct the basic concepts of Boolean Algebra
and use them in logic circuits analysis and design.
2.2.2 State the Boolean Laws.
2.2.3 Develop logic expressions from the truth table from
the form of SOP and POS
2.2.4 Simplify combinatinal Logic circuits using Boolean
Laws and Karnaugh Map
DEE2034 : DIGITAL ELECTRONICS
4. TRUTH TABLES
A truth table is a table that describes
the behavior of a logic gate
The number of input combinations will
equal 2N for an N-input truth table
4DEE2034 : DIGITAL ELECTRONICS
5. • Circuits which perform logic
functions are called gates
• The basic gates are:
I. NOT/INVERTER gate
II. AND gate
III. OR gate
IV. NAND gate
V. NOR gate
VI. XOR gate
VII.XNOR gate
LOGIC GATES
DEE2034 : DIGITAL ELECTRONICS
6. I. NOT / INVERTER
Gate
Symbol
Truth Table
Timing Diagram
DEE2034 : DIGITAL ELECTRONICS
13. DEA 2033 : DIGITAL PRINCIPLESDEE2034 : DIGITAL ELECTRONICS
14. BOOLEAN ALGEBRA
• The Boolean algebra is an algebra dealing
with binary variables and logic operation
• The variables are designated by:
I. Letters of the alphabet
II. Three basic logic operations AND,
OR and NOT
DEE2034 : DIGITAL ELECTRONICS
15. • A Boolean function can be represented by using
truth table. A truth table for a function is a list of
all combinations of 1’s and 0’s that can be
assigned to the binary variable and a list that
shows the value of the function for each binary
combination
• A Boolean expression also can be transformed
into a circuit diagram composed of logic gates
that implements the function
BOOLEAN ALGEBRA
DEE2034 : DIGITAL ELECTRONICS
16. • Examples
F = A + BC
Truth Table
Logic circuit
DEE2034 : DIGITAL ELECTRONICS
17. Boolean Algebra Exercise
Exercise:
• Construct a Truth Table
for the logical functions at
points C, D and Q in the
following circuit and
identify a single logic gate
that can be used to
replace the whole circuit.
DEA 2033 : DIGITAL PRINCIPLESDEE2034 : DIGITAL ELECTRONICS
24. • All these Boolean basic identities and Boolean Laws
can be useful in simplifying a logic expression, in
reducing the number of terms in the expression
• The reduced expression will produce a circuit that is
less complex than the one that original expression
would have produced.
• Examples
Simplify this function
F = A B C + A B C + A C
DEE2034 : DIGITAL ELECTRONICS
26. Exercise:
Using the Boolean laws, simplify the following expression:
Q= (A + B)(A + C)
Solution:
Q = (A + B)(A + C)
Q = AA + AC + AB + BC ( Distributive law )
Q = A + AC + AB + BC ( Identity AND law (A.A = A) )
Q = A(1 + C) + AB + BC ( Distributive law
Q = A.1 + AB + BC ( Identity OR law (1 + C = 1)
Q = A(1 + B) + BC ( Distributive law )
Q = A.1 + BC ( Identity OR law (1 + B = 1) )
Q = A + BC ( Identity AND law (A.1 = A) )
Then the expression: Q= (A + B)(A + C)
can be simplified to Q= A + BC
DEE2034 : DIGITAL ELECTRONICS
27. continue chapter 2 Part B
1. "Digital Systems Principles And Application"
Sixth Editon, Ronald J. Tocci.
2. "Digital Systems Fundamentals"
P.W Chandana Prasad, Lau Siong Hoe,
Dr. Ashutosh Kumar Singh, Muhammad Suryanata.
REFERENCES:
Download Tutorials Chapter 2: Boolean Operations
@ http://www.portal.cidos.edu.my
DEE2034 : DIGITAL ELECTRONICS
