Practice Question - 1

Duration: 2 min

This video lesson is available to enrolled students.

Return to /learn/BIHAR-POLYTECHNIC-LECTURER-COMPUTER-SCIENCE/paper-1-computer-organization-and-architecture/cache-memory-organization/associative-mapping/asset-practice-question-1-21134 after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Discrete Mathematics: Permutation, Combination and Probability / क्रमचय, संचय एवं प्रायिकता, Set Theory, Relations, Functions, Propositional and Predicate Logic, Graph Theory, Group Theory
  2. Digital Logic: Digital Systems & Boolean Basics, Boolean Expression, Boolean Minimization, Logic Gates & Hardware, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Computer Organization and Architecture: Basics of COA, Programming the Basic Computer, Cache Memory Organization, Input Output Organisation, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Pipelining, Multiprocessors
  4. Programming: Language Design, C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, OOPS with C++
  5. Data Structures: Introduction to DS, Array, Linked List, Stack, Queue, Tree, Graphs, Hashing
  6. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Advanced Algorithms
  7. Theory of Computation: Grammar, Regular Language Properties, Moore & Mealy Machines, Turing Machines
  8. 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, Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Pushdown Automata & CFG, Complexity Theory
  9. Operating Systems: 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, Security
  10. Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, ORDBMS, NoSQL
  11. 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, Network Security
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This lecture segment presents a practice problem on fully associative mapped cache memory organization. The instructor analyzes a scenario with 16 KB cache size, 256 bytes block size, and 128 KB main memory. The core task is determining the number of tag bits and total tag directory size. The instructor decomposes the physical address into Block Number (Tag) and Block Offset fields, calculating 8 bits for offset based on block size. For fully associative mapping, the entire Block Number becomes the Tag since there is no index field.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces a fully associative cache problem with on-screen text stating 'Q Consider a fully associative mapped cache of size 16 KB with block size 256 bytes.' The main memory is specified as 128 KB. He calculates the Block Offset bits as 8 (since log2(256) = 8). He writes '14' initially, likely referring to total cache lines or address bits, then corrects to '6' for Cache Line bits (log2(16KB/256B) = log2(64) = 6). The diagram shows Main Memory (Physical Address) split into Block Number and Block Offset, with Tag = Block Number.

  2. 2:00 – 2:07 02:00-02:07

    The instructor finalizes the address breakdown showing 17 total physical address bits. He explicitly writes 'Block Number 9' and 'Block Offset 8', confirming Tag = Block Number is 9 bits. He computes the tag directory size using the formula 2^6 x 9, where 2^6 represents the number of cache lines (64) and 9 is the tag bits per line. The screen displays 'Find out the: Number of bits in tag and Tag directory size?' as the final question to be answered.

The video demonstrates a standard method for solving fully associative cache problems. Key steps include calculating block offset from block size, determining the number of cache lines to find tag bits (since index is zero in fully associative), and computing directory size. The instructor emphasizes that Tag equals Block Number in this mapping scheme, distinguishing it from direct or set-associative mappings where an index field exists. The final calculation of 2^6 x 9 illustrates how directory size scales with the number of lines and tag width.

Loading lesson…