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Updated in [September 27th, 2023]

What does this course tell?
(Please note that the following overview content is from the original platform)This Course deals with the basic number system ( types of number system conversions BCD code Gray code Excess-3 code and binary data representation) This Course Explains Boolean operations Sum Of Product and Product Of Sum Boolean theorems and Logic Gates(NANDNOR)This course deals with Boolean expression simplification methods ( K-MAP and tabulation method )you will learn: 1 Number Systems Conversions Gray code BCD codeExcess-3 code Binary Data Representation different Binary codes2 Boolean Algebra : Boolean Theorems SOP & POS Venn diagrams Duality Theorem De-Morgans Theorem residue theorem absorption theorem ( The concept of Boolean algebra was first introduced by George Boole in his book The Mathematical Analysis of Logic and further expanded upon in his book An Investigation of the Laws of Thought Since its concept has been detailed Boolean algebras primary use has been in computer programming languages Its mathematical purposes are used in set theory and statistics)3 Logic Gates : ANDOR NOT NAND NOR EX-OR EX-NOR Gates Design of digital circuits using NANDgates and NORGates Implementation of all the gates using NAND& NOR gates ( Logic gates are the basic building blocks of any digital system It is an electronic circuit having one or more than one input and only one output The relationship between the input and the output is based on a certain logic )4 K-Map( 2 - variable 3 - variable 4 - variable ) A Karnaugh map (K-map) is a pictorial method used to minimize Boolean expressions without having to use Boolean algebra theorems and equation manipulations A K-map can be thought of as a special version of a truth table
We considered the value of this course from many aspects, and finally summarized it for you from two aspects: skills and knowledge, and the people who benefit from it:
(Please note that our content is optimized through artificial intelligence tools and carefully reviewed by our editorial staff.)
What skills and knowledge will you acquire during this course?
During this course, the learner will acquire the following skills and knowledge:

1. Understanding of Number Systems: The learner will gain knowledge about different number systems such as binary, decimal, BCD code, Gray code, and Excess-3 code. They will also learn how to convert between these number systems and understand binary data representation.

2. Boolean Algebra: The learner will acquire skills in Boolean algebra, including Boolean theorems, Sum Of Product (SOP) and Product Of Sum (POS) expressions, Venn diagrams, Duality Theorem, De-Morgans Theorem, residue theorem, and absorption theorem. They will understand the concept of Boolean algebra and its applications in computer programming languages, set theory, and statistics.

3. Logic Gates: The learner will gain knowledge about different logic gates such as AND, OR, NOT, NAND, NOR, EX-OR, and EX-NOR gates. They will learn how to design digital circuits using NAND and NOR gates and implement all the gates using NAND and NOR gates. Logic gates are the fundamental building blocks of digital systems, and understanding their operation is crucial in digital system design.

4. Karnaugh Map (K-Map): The learner will learn about Karnaugh maps, which are pictorial methods used to minimize Boolean expressions without using complex algebraic manipulations. They will learn how to use K-Maps for simplifying Boolean expressions with 2, 3, and 4 variables.
Who will benefit from this course?
This course on Digital System Design will benefit individuals interested in or working in the field of computer programming, electronics, and digital circuit design.

1. Computer Programmers: This course will provide computer programmers with a solid understanding of number systems, binary data representation, and Boolean algebra. This knowledge is essential for writing efficient and optimized code, especially in low-level programming languages.

2. Electronics Engineers: Electronics engineers will benefit from this course as it covers the design and implementation of logic gates using NAND and NOR gates. Understanding logic gates is crucial for designing and troubleshooting digital circuits.

3. Digital Circuit Designers: Digital circuit designers will find this course valuable as it explains Boolean expression simplification methods such as Karnaugh maps. These methods help in optimizing and reducing the complexity of digital circuits, leading to more efficient designs.

4. Students of Computer Science and Electrical Engineering: Students pursuing degrees in computer science or electrical engineering will find this course beneficial as it covers fundamental concepts related to digital systems. This knowledge forms the basis for more advanced courses in these fields.

Course Syllabus

Number System

Boolean Algebra

Boolean Theorems - 02

Logic Gates

K - MAP