Multiplexer Expansion Part-1

Duration: 5 min

This video lesson is available to enrolled students.

Return to /learn/CDAC-C-CAT-COMPLETE-PREPARATION/section-c-digital-electronics/combinational-circuit/multiplexers-mux/asset-multiplexer-expansion-part-1 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Section A | English: Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Preposition, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Articles, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Verbal Analogy (Word Based Analogy)
  2. Section A | Quant Aptitude: Ratio and Proportion (Ratios), Mixture and Alligation, Permutation and Combination, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Arithmetic, Algebra, Powers and Exponents (Surds and Indices), Average, Age Problems, Percentage, Profit and Loss, Partnership, Time and Work, Simple Interest and Compound Interest, Mensuration and Geometry, Probability, Pipe and Cistern
  3. Section A | Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Calendar, Clock, Blood Relations, Directions (Direction Test), Seating Arrangements, Ranking, Order and Sequence, Puzzle Solving (Puzzles)
  4. Section B | C Programming: C Programming by Yash Sir, Coding Questions by Yash Sir
  5. Section B | Data Structures: Algorithm Analysis, Greedy Algorithms, Time Complexity Analysis, Sorting Algorithms, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs
  6. Section B | OOP (C++): Object Oriented Programming (OOPS), Programming in C++
  7. Section B | OS: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS
  8. Section B | Networking: 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
  9. Section B | AI & Big Data Basics: AI & ML by Arun Sir, Big Data Systems
  10. Section C | Digital Electronics: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Analog-Digital Conversion
  11. Section A, C | Comp. Fundamentals, COA: Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  12. MOCK TEST:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video by Sanchit Jain Sir focuses on 'Multiplexer Expansion,' specifically demonstrating how to implement a higher-order multiplexer using lower-order components. The core problem addressed is constructing a 4:1 Multiplexer (MUX) using only 2:1 MUXes. The lecture begins by defining the requirements through a truth table for a 4:1 MUX, which has two select lines (S1, S0) and four data inputs (I0-I3). The instructor then transitions to a practical demonstration, drawing a circuit diagram on a digital whiteboard. He systematically arranges three 2:1 MUX blocks to replicate the functionality of the 4:1 MUX, explaining the interconnection of data inputs and select lines to ensure the correct output is routed based on the select signal values.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with the title 'Multiplexer Expansion' and the specific question: '2:1 MUX are required to implement 4:1 MUX?'. The instructor displays a truth table on the right side of the screen, detailing the relationship between inputs S1, S0 and the output Y for inputs I0, I1, I2, and I3. He begins the practical demonstration by drawing a large rectangle to represent the 4:1 MUX. He labels the four data inputs on the left side as I0, I1, I2, and I3, and the single output on the right as Y. This initial setup establishes the target functionality that the subsequent circuit must achieve.

  2. 2:00 – 5:00 02:00-05:00

    The instructor draws the implementation circuit using 2:1 MUX blocks. He draws two 2:1 MUX blocks vertically stacked on the left. He connects input I0 and I1 to the first block and I2 and I3 to the second block. He then draws a third 2:1 MUX block to the right of these two. He connects the outputs of the first two blocks to the inputs of the third block. He labels the select lines: S0 is connected to the select inputs of the first two MUXes, and S1 is connected to the select input of the final MUX. He explains that S0 selects between I0/I1 and I2/I3 respectively, while S1 selects between the outputs of the first two stages. He traces the path for S1=0 and S1=1 to verify the logic against the truth table.

  3. 5:00 – 5:04 05:00-05:04

    The instructor finalizes the diagram by pointing to the final output Y. He emphasizes the role of S1 in selecting the final output from the two intermediate stages. The video concludes with the completed circuit diagram showing how three 2:1 MUXes can function as a single 4:1 MUX.

The lecture provides a clear, step-by-step guide to multiplexer expansion. It starts with the theoretical definition via a truth table, establishing the inputs and outputs of the target 4:1 MUX. The instructor then moves to the practical implementation, drawing a circuit that uses three 2:1 MUX blocks. The key concept is the hierarchical selection: the lower-order MUXes handle the selection of data inputs based on the least significant select line (S0), while the higher-order MUX selects between the outputs of the lower-order blocks based on the most significant select line (S1). This method effectively scales up the capacity of the multiplexer, allowing for the implementation of complex logic functions using simpler, standardized components.

Loading lesson…