Practice Question

Duration: 2 min

This video lesson is available to enrolled students.

Return to /learn/HPSC-PGT-COMPUTER-SCIENCE/digital-logic-circuits/combinational-circuit/multiplexers-mux/asset-practice-question-2574 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. HPSC Interview Preparation: Interview Preparation
  2. Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  3. Data Structure & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Sorting Algorithms, Minimum Spanning Trees, Time Complexity Analysis, Graph Theory, Shortest Path Algos
  4. Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security
  5. Computer System & Organisation: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer
  6. Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Transaction Management, Concurrency Control
  7. Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling
  8. Digital Logic & Circuits: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  9. Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Pushdown Automata & CFG, Turing Machines, Moore & Mealy Machines
  10. 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
  11. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Data Warehousing & Mining
  12. Introduction to Emerging Trends: Emerging Tech Trends
  13. Digital Society & Cyber Law: Society, Law & Ethics
  14. HPSC PGT Previous Year Paper:
  15. HPSC Assistant Professor Previous Year Paper:
  16. Live Sessions: HPSC Live Sessions, EMRS TGT/PGT Live Class
  17. Full Mock Test:
  18. HPSC PGT - MOCK Test Series:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a digital logic problem involving a circuit with three 2:1 multiplexers in a specific configuration. The instructor analyzes the circuit to determine the boolean function f. He begins by writing the standard multiplexer equation Y = S0' I0 + S0 I1 below each block. He derives the output of the first MUX, which has inputs 1 and 0 with select line x1, resulting in x1'. He continues for subsequent MUXes, tracing connections and substituting values. The final derivation involves simplifying a complex boolean expression. After working through the logic, he identifies the correct option, circling option (C) which corresponds to the XNOR function f = x1 x2 + x1' x2'.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the circuit diagram, featuring three 2:1 multiplexers in a cascade. He writes the general MUX equation Y = S0' I0 + S0 I1 three times. He starts with the leftmost MUX, noting inputs 1 and 0 and select line x1, writing x1' . 1 + x1 . 0 = x1'. He moves to the middle MUX, where the select line is x2. He writes an expression x2' . x1 + x2 . x1' below it. Finally, he analyzes the rightmost MUX with select line x1, writing a combined expression x1' (x2' x1 + x2 x1') + x1 x2. He simplifies this expression on the board, arriving at a final boolean function. Throughout, he carefully points to connections on the diagram to justify steps.

  2. 2:00 – 2:03 02:00-02:03

    The video concludes with the instructor finalizing his analysis. The board shows the simplified expression and multiple-choice options. He circles option (C) f = x1 x2 + x1' x2', indicating it as the correct answer. The final frame shows the completed derivation and selected option, confirming the XNOR function as the result of the circuit analysis.

This lecture segment focuses on systematic analysis of digital logic circuits using multiplexers. The instructor demonstrates breaking down a complex circuit into manageable stages by applying the fundamental MUX selection equation. By tracing signal flow from inputs through each stage, he derives the overall boolean function. The example serves as a practical application of boolean algebra and logic circuit design principles, showing how cascaded components implement specific logic functions like XNOR. The visual derivation clearly helps students follow logical steps.

Loading lesson…