EX NOR gate

Duration: 7 min

This video lesson is available to enrolled students.

Return to /learn/TPSC-ASSISTANT-TECHNICAL-OFFICER/digital-logic/logic-gates-hardware/ex-or-ex-nor-gate-relation/asset-ex-nor-gate after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  9. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS
  10. Paper 2 | Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware Basics
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends, Internet of Things
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a detailed lecture on the EX-NOR logic gate, presented by Sanchit Jain Sir. The lesson begins by defining the EX-NOR gate for two inputs, explaining that the output is high only when both inputs are identical. It covers the boolean expression and truth table for the 2-input case. The lecture then expands to 3-input EX-NOR gates, introducing a specific rule regarding the even number of low inputs. Finally, the video explores algebraic properties of the EX-NOR gate, including operations with constants (0 and 1), identical variables, and complements, as well as fundamental Boolean laws like associativity and commutativity.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a slide titled 'EX-NOR' defining the gate for two inputs. The text states, 'For two input, output will be high if and only if both the input values are same.' The boolean expression is given as $a \odot b = a'.b' + a.b$. The instructor draws the standard EX-NOR gate symbol, which resembles an XOR gate with an inverted output bubble. A truth table is displayed with columns for Input A, Input B, and Output Y. The instructor explains that when inputs are 0 and 0, the output is 1. When inputs are 0 and 1, the output is 0. Similarly, for 1 and 0, the output is 0. Finally, for 1 and 1, the output is 1. He writes the boolean equation on the board to reinforce the logic.

  2. 2:00 – 5:00 02:00-05:00

    The lecture progresses to a 3-input EX-NOR gate. The slide text reads, 'The EX-NOR gate is a digital logic gate that gives output High when the number inputs low are even.' A truth table with columns A, B, C, and output $a \odot b \odot c$ is shown. The instructor fills the table based on the rule of even low inputs. For inputs 0,0,0 (three lows), the output is 0. For 0,0,1 (two lows), the output is 1. He continues filling the table, noting that 0,1,0 yields 1, while 0,1,1 yields 0. He writes side notes indicating '1 -> odd = 1' and '0 -> even = 1' to clarify the counting logic for the students. The table is completed showing the pattern of outputs for all 8 combinations of three inputs.

  3. 5:00 – 6:42 05:00-06:42

    The final section covers specific properties and laws of the EX-NOR gate. The slide lists four scenarios: EX-NOR with ZERO, ONE, SAME, and COMPLEMENT. The instructor solves $(a \odot 0) = a'$, labeling it 'Comp'. He solves $(a \odot 1) = a$, labeling it 'Same'. For $(a \odot a)$, he derives the result as 1. For $(a \odot a')$, the result is 0. He then discusses the Idempotent law, writing $(a \odot a) eq a$. He also addresses the Associative law, writing $(a \odot b) \odot c = a \odot (b \odot c)$, and the Commutative law, writing $(a \odot b) = (b \odot a)$. This section solidifies the algebraic manipulation rules for EX-NOR operations.

The video provides a comprehensive overview of the EX-NOR logic gate, starting from its fundamental definition and 2-input truth table. It expands the concept to 3-input scenarios, introducing the rule regarding even numbers of low inputs. Finally, it details algebraic properties involving constants and variables, along with fundamental Boolean laws like associativity and commutativity. This progression helps students understand both the logical behavior and mathematical manipulation of EX-NOR gates.

Loading lesson…