One Dimensional Array Access Formula

Duration: 5 min

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  1. English Comprehension/Verbal Ability: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Vocabulary, Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Subject Verb Agreement (Verb Noun Agreement), Tenses, Verb, Articles, Preposition, Conjunction, Pronoun, Noun, Adjectives, Adverb, Modals, Cloze Test (Cloze Passage), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
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  5. Computer Programming: Pseudo Codes, Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
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  8. OS (Computer Science): Introduction to OS, Process Management, CPU Scheduling, Deadlock, Process Synchronization, Threads & Process Creation, Memory Management, Virtual Memory, File Management
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  10. Data Structures (Computer Science): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  11. OOPs (Computer Science): Object Oriented Programming (OOPS)
  12. Software Engineering (Computer Science): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  13. SVAR Conversational - Spoken English: Communication Assessment
  14. HR Interview: MR & HR Interview Preparation
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This lecture introduces the memory address calculation formula for one-dimensional arrays. The instructor begins by presenting a slide titled 'One Dimensional array' with the prompt 'Address of the element at kth index' and an incomplete formula 'a[k] ='. A visual array diagram is constructed at the bottom of the slide, showing a row of boxes with red handwritten addresses 100, 104, 108, 112, 116, 120, and 124 below them, and red index numbers 0 through 7 above. The instructor then derives the general formula step-by-step: a[k] = B + W * (k - Lower bound). The variables are defined as B for the base address, W for the size of each element, k for the target index, and Lower bound for the starting index. A worked example uses B=100, W=4, and k=6 to calculate the address as 100 + 4 * (6 - 0) = 124, which matches the diagram. The final slide summarizes the formula and variable definitions for reference.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the concept of calculating memory addresses in a one-dimensional array. The slide displays 'One Dimensional array' and 'Address of the element at kth index' with the prompt 'a[k] ='. A row of array boxes is drawn at the bottom, labeled with red handwritten addresses 100, 104, 108, and 112. The instructor writes '100' below the first cell to establish the base address, then extends the addresses across the boxes to 124 and adds red index numbers 0 through 7 above them.

  2. 2:00 – 4:45 02:00-04:45

    The instructor derives the formula a[k] = B + W * (k - Lower bound) by building it incrementally. The base address 'B' is written first, followed by the element size 'W', and finally the offset term '[k - L]'. A red cross marks index 6 in the diagram for the example k=6. The instructor substitutes B=100, W=4, and K=6 into the formula, calculating 100 + 4 * (6 - 0) = 124, which matches the diagram. A final slide summarizes the general formula and defines B as base address, W as element size, K as index, and Lower bound as the first element's index.

The lesson progresses from a concrete visual example to an abstract formula. The array diagram with addresses 100-124 and indices 0-7 provides the numerical foundation. The formula a[k] = B + W * (k - Lower bound) is derived by identifying each component: base address, element size, and index offset. The worked example (k=6 yielding 124) verifies the formula against the diagram. The lower bound term accounts for arrays not starting at zero, making the formula general.

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