Multiplexer Expansion Part-2

Duration: 6 min

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Inside: a video lesson and guided study material.

Module outline

  1. About the Course: About the Course
  2. Section 1 | Language (Hindi): भाषा, लिपि, ध्वनि, वर्ण, अक्षर, स्वर, व्यंजन, मात्रा और संयुक्ताक्षर, वर्तनी, वर्ण-विन्यास, अनुस्वार, अनुनासिक, चंद्रबिंदु और ‘र’ के रूप, शब्द, पद और शब्द-भेद, संज्ञा और सर्वनाम, विशेषण और क्रिया, लिंग, वचन, पुरुष और कारक, काल, वाच्य, वाक्य और वाक्य-भेद, संधि, समास, विलोम शब्द, पर्यायवाची शब्द, सामान्य अशुद्धियाँ, अनेक शब्दों के लिए एक शब्द, मुहावरे और लोकोक्तियाँ, अपठित गद्यांश और अपठित पद्यांश, Multi-Topic Content (Cross-Concept Material), वर्णमाला
  3. Section 1 | Language (उर्दू भाषा — 22 प्रश्न (निश्चित)): Spelling & Diacritics, Grammar (اسم, فعل, صفت, ضمیر), Vocabulary, Idioms & Proverbs, Comprehension
  4. Section 1 | Language (বাংলা / बांग्ला भाषा — 22 प्रश्न (निश्चित)): Bangla Script and Sounds, Bangla Grammar and Usage, Bangla Word Formation and Vocabulary, Reading and Text Interpretation
  5. Section 1 | Language (English): Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Pronoun, Verb, Adverb, Preposition, Articles, Determiner, Conjunction, Modals, Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Construction, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Verbal Analogy (Word Based Analogy), Facts, Inference and Judgements
  6. Section 2 | Primary Maths & Reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Mensuration and Geometry, Age Problems, Arithmetic, Powers and Exponents (Surds and Indices), Algebra, Probability, Trigonometry, Syllogisms, Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Venn Diagram, Data Arrangement, Inequality, Analogy, Ranking, Order and Sequence
  7. Section 2 | General Awareness (GK + Current Affairs): Polity, Physics, Biology, State Wise GK, Chemistry, History, Geography, Indian Economy, Environment, GK- Current Affairs, Static General Knowledge
  8. Section 3 | Computer System and Org. (CSO): Basics of COA, Floating Point Rep, Cache Memory Organization, Instr Formats & Modes, Programming the Basic Computer, Input Output Organisation, Register Transfer and Microoperations, Control Unit Design
  9. Section 3 | 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, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control
  10. Section 3 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Process Synchronization
  11. Section 3 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics
  12. Section 3 | Data Structures: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Shortest Path Algos
  13. Section 3 | Theory Of Computation & Compiler Design: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization
  14. Section 3 | Emerging Trends (AI, Societal Ethics & MS Office): Artificial Intelligence, Emerging Tech Trends, Society, Law & Ethics, MS Office Applications
  15. Section 3 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Maintenance and Configuration Management, Software Testing
  16. Section 3 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  17. Section 3 | OOPS, C++, JAVA, HTML: OOPS with C++, Java, HTML Basics, CSS
  18. Section 3 | Java: Java Fundamentals, Array, String, IO & References
  19. Section 3 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  20. Section 3 | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  21. Section 3 | Multimedia: Multimedia
  22. BPSC Previous Year Papers:
  23. BPSC Full Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video features an educational lecture by Sanchit Jain on digital logic design, focusing on constructing larger multiplexers (MUX) from smaller ones. The instructor demonstrates how to build larger MUX configurations using smaller, standard MUX units. The lesson begins with a visual demonstration of constructing a 16:1 MUX using 4:1 MUXes. It then transitions to numerical problems, calculating the exact number of 4:1 MUXes required to build a 128:1 MUX, and subsequently calculating the number of 8:1 MUXes needed for a 4096:1 MUX. The lecture concludes with a theoretical summary table that generalizes the method for any m-to-n MUX construction, providing formulas for the number of levels and the total count of MUXes required.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the first problem written on the whiteboard: "Q 16 : 1 MUX using 4 : 1 MUX ?". He begins by drawing a large rectangle to represent the target 16:1 MUX. Inside, he sketches smaller rectangles to represent the 4:1 MUX components. He draws input lines on the left and connects them to the blocks. He writes the calculation "16/4 + 4/4" on the board, indicating the first step in determining the number of components needed. He circles the "4:1 MUX" text in the question to emphasize the building block.

  2. 2:00 – 5:00 02:00-05:00

    The topic shifts to a new numerical problem: "Q how many 4X1 Mux are required in order to construct 128X1?". The instructor performs a step-by-step division on the whiteboard. He writes "128/4" resulting in 32, then "32/4" resulting in 8, then "8/4" resulting in 2, and finally "2/4" resulting in 1. He sums these values to get a total of 43, writing "32 + 8 + 2 + 1 = 43 (4x1)". He then refines this calculation, writing "32 + 8 + 2 = 42 (4x1)" and "1 (2x1)" below it, suggesting a discussion on the final stage requiring a smaller MUX.

  3. 5:00 – 6:01 05:00-06:01

    The final problem asks: "Q how many 8X1 Mux are required in order to construct 4096X1?". The instructor repeats the division method: 4096/8 = 512, 512/8 = 64, 64/8 = 8, and 8/8 = 1. He writes the summation "512 + 64 + 8 + 1" and uses tally marks to visualize the counts. Finally, he displays a summary table on the screen. The table lists "Given: m X 1", "Target: n X 1", "No of levels(K) = log_m n", and "No of Mux at i^th level (x_i) = (n/m^i)". He points to the formula for "Total Mux required". A meme of a cat labeled "BORED" is visible on the right side.

The lecture follows a logical progression from concrete visualization to abstract calculation and finally to general theory. By starting with a 16:1 MUX, the instructor establishes the visual concept of cascading smaller units. He then reinforces this with the 128:1 example, forcing the student to perform the arithmetic of summing the geometric series of MUX counts. The 4096:1 example scales this up to show the method's applicability to larger systems. The concluding table serves as a cheat sheet, providing the mathematical formulas (log_m n and summation) that underpin the manual calculations performed earlier, ensuring students can solve any similar problem efficiently.

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