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Digital Principle and System Design

by Anna Superkings
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Digital Principle and System Design by Anna Superkings

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Anna Superkings
Anna Superkings
Class Subject Code Subject Prepared By Lesson Plan for Time: Lesson. No I year, 02 sem CS6201 Digital Principles & System Design S.Seedhanadevi Introduction to Unit I 45 Minutes Unit I-Lesson No.1/13 1.CONTENT LIST: Introduction to UnitI 2. SKILLS ADDRESSED: Listening 3. OBJECTIVE OF THIS LESSON PLAN: To make the students understand basic idea of Digital circuit design 4.OUTCOMES: i. Describe the major topics in Unit I ii. Explain the need of studying digital systems 5.LINK SHEET: i. What is digital system? ii. What is the need of studying digital systems? iii. List the major topics in Boolean algebra and logic gates 6.EVOCATION: (5 Minutes) CS6201-DIGITAL PRINCIPLES AND SYSTEM DESIGN Page 1
7. LECTURE NOTES: (40 Minutes) Digital System Logic circuits are the basis for modern digital computer systems. The term digital refers to the fact that the signal is limited to only a few possible values. In general, digits signals are represented by only two possible voltages on a wire - 0 volts (which are called "binary 0", or just "0") and 5 volts (which are call by "binary 1", or just "1"). We sometimes call these values "low" and "high", or "false" and "true". Need of digital systems More complicated signals can be constructed from 1s and 0s by stringing them end-to-end, like a necklace. If we put three binary digits end-to-end, we have eight possible combinations: 000, 001, 010, 011, 100, 101, 110 and 111. In principle, there is no limit to use binary digits, so signals can be as complicated as one like Major topics in Boolean algebra and logic gates 1. Review of number systems-is a natural choice for representing the behavior of circuits that operate in one of two states (on or off, 1 or 0) 2. Arithmetic Operations-It is imperative to understand that the type of numeration system used to represent numbers has no impact upon the outcome of any arithmetical function (addition, subtraction, multiplication, division, roots, powers, or logarithms). 3. Binary codes- The alphabetic data, numeric data, alphanumeric data, symbols, sound data and video data, all are represented as combination of bits in the computer. 4. Boolean algebra and theorems-The English mathematician George Boole (18151864) sought to give symbolic form to Aristotle's system of logic. 5. Boolean functions- Boole wrote a treatise on the subject in 1854, titled An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities, which codified several rules of relationship between mathematical quantities limited to one of two possible values: true or false, 1 or 0 6. Simplifications of Boolean functions using Karnaugh map and tabulation methods- A K-map consists of a grid of squares, each square representing one canonical minterm combination of the variables or their inverse 7. Logic gates-A logic gate, or simply gate, is a special circuit designed to input and output logic level voltages (voltages intended to represent binary bits). 8. NAND and NOR Implementations- Universal gates are the ones which can be used for implementing any gate like AND, OR and NOT, or any combination of these basic gates; NAND and NOR gates are universal gates 8.TEXT BOOKS: Sanjay Kumar Suman, L.Bhagyalakshmi, S.Porselvi, “Digital Principles And System Design”,Vijay Nicole Pubilcations 9.APPLICATIONS The digital system is used to represent various types of computer data. It is used to design various circuits in real time as controller, indicator etc. CS6201-DIGITAL PRINCIPLES AND SYSTEM DESIGN Page 2
Class Subject Code Subject Prepared By Lesson Plan for Time: Lesson. No I year, 02 sem CS6201 Digital Principles & System Design S.Seedhanadevi Review of binary number systems 45 Minutes Unit I-Lesson No.2/13 1.CONTENT LIST: Review of binary number systems. 2. SKILLS ADDRESSED: Understanding, Remembering 3. OBJECTIVE OF THIS LESSON PLAN: To make the students understand basic conversions in number system and enable them to apply in different design of logic circuits. 4.OUTCOMES: i. Describe the significance of binary numbers in digital circuits. ii. Illustrate various conversions in number system with examples. 5.LINK SHEET: i. What are binary numbers? ii. Give the need of using binary numbers. iii. List the types of conversions in number systems. 6.EVOCATION: (5 Minutes) CS6201-DIGITAL PRINCIPLES AND SYSTEM DESIGN Page 3
SRIVIDYA COLLEGE OF ENGINEERING AND TECHNOLOGY-VIRUDHUNAGAR 7. LECTURE NOTES: (40 Minutes) Binary Number definition The binary numeral system is also called as base-2 number system, represents numeric values using two symbols 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2. Significance of Binary Numbers The study of number systems is useful to the student of computing due to the fact that number systems other than the familiar decimal (base 10) number system are used in the computer field. Digital computers internally use the binary (base 2) number system to represent data and perform arithmetic calculations. The binary number system is very efficient for computers, but not for humans. Representing even relatively small numbers with the binary system requires working with long strings of ones and zeroes. Types of Number system conversions and its explanation 8.TEXT BOOKS: Sanjay Kumar Suman, L.Bhagyalakshmi, S.Porselvi, “Digital Principles And System Design”,Vijay Nicole Pubilcations 9.APPLICATIONS The binary numbers are used for representing various types of computer data. It is used to design various digital systems. CS6201-DIGITAL PRINCIPLES AND SYSTEM DESIGN Page 4

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