Implementing 2x1 Encoder

Duration: 4 min

This video lesson is available to enrolled students.

Return to /learn/TPSC-ASSISTANT-TECHNICAL-OFFICER/digital-logic/combinational-circuit/demux-decoder-encoder/asset-implementing-2x1-encoder 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
  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.

The video lecture provides a detailed explanation of digital logic encoders, starting with a basic 2-to-1 configuration and advancing to a more complex 4-to-2 setup. The instructor begins by displaying a block diagram labeled "Encoder 2x1" with inputs I1 and I0 and a single output. He then presents a truth table to define the logic. The table lists two rows: the first row shows inputs I1=0, I0=1 resulting in output O0=0, and the second row shows I1=1, I0=0 resulting in O0=1. The instructor uses a marker to circle the I1 column and the O0 column, visually demonstrating that the output O0 directly corresponds to the input I1 when the inputs are mutually exclusive. He further illustrates this by drawing a logic gate diagram on the right side of the whiteboard, labeling inputs I0 and I1 and showing the output connection. The instructor, identified as Sanchit Jain Sir, stands beside the board, guiding the viewer through the logical steps. The lecture then transitions to a 4-to-2 Encoder. A comprehensive truth table appears on the board with four inputs (I3, I2, I1, I0) and two outputs (O1, O0). The table details four valid states where exactly one input is high. The instructor points to the rows to explain how the binary code is generated. He then derives the Boolean expressions for the outputs. For O0, he writes the equation O0 = (I3 XOR I1) I2' I0'. For O1, he writes O1 = (I3 XOR I2) I1' I0'. Throughout this derivation, he circles specific columns in the truth table, such as I0, I1, I2, I3 and O0, O1, to correlate the input combinations with the output logic. This method highlights the process of translating truth table data into functional logic equations for encoder circuits.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the concept of a 2-to-1 encoder. He displays a truth table with inputs I1, I0 and output O0. The table shows that when I1=0, I0=1, the output is 0, and when I1=1, I0=0, the output is 1. He circles the I1 and O0 columns to show the direct relationship. He then draws a logic diagram on the right, labeling inputs I0, I1 and showing the output path. This section establishes the basic principle of encoding where multiple inputs are reduced to fewer output lines based on active input states. The box is labeled "Encoder 2x1".

  2. 2:00 – 3:54 02:00-03:54

    The topic shifts to a 4-to-2 encoder. A truth table with inputs I3, I2, I1, I0 and outputs O1, O0 is shown. The instructor points to the rows to explain the encoding of four inputs into two bits. He derives the logic equations on the right side of the board. He writes O0 = (I3 XOR I1) I2' I0' and O1 = (I3 XOR I2) I1' I0'. He circles the relevant input columns (I0, I1, I2, I3) and output columns (O0, O1) to link the truth table values to the derived expressions. This part demonstrates the systematic derivation of Boolean functions for multi-bit encoders. The table rows correspond to inputs 0001, 0010, 0100, and 1000.

The video effectively bridges the gap between simple and complex encoder logic. It starts with the fundamental 2-to-1 case to establish the concept of input-to-output mapping. It then scales this up to a 4-to-2 encoder, showing how the logic becomes more intricate with more inputs. The instructor's use of truth tables and subsequent equation derivation provides a clear, step-by-step methodology for designing encoder circuits. The visual cues, such as circling columns and drawing diagrams, reinforce the connection between abstract logic tables and physical circuit implementation. This structured approach helps students understand the underlying principles of digital logic design.

Loading lesson…