Insertion in Binary Search Tree

Duration: 2 min

This video lesson is available to enrolled students.

Return to /learn/UP-LT-GRADE-ASSISTANT-TEACHER-2025/cs-03-data-structures-and-algorithm/tree/bst-basics-operations/asset-insertion-in-binary-search-tree after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. CS | 01 | Digital Logic and Circuits and Discrete Mathematical Structures: Digital Systems & Boolean Basics, Number System, Number Representation, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Permutation and Combination
  3. CS | 02 | Computer Organization and Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Multiprocessors
  4. CS | 03 | Data Structures and Algorithm: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos, Complexity Theory, Advanced Algorithms
  5. CS | 04 | Problem Solving through C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. CS | 05 | Object Oriented Techniques: Object Oriented Technology, Java
  7. CS | 06 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Unix OS
  8. CS | 07 | Database Management Systems: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Query Processing & Optimization, File Organization & Indexing
  9. CS | 08 | 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
  10. CS | 09 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  11. CS | 10 | Internet Technology, Web Design and Web Technology: Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, JavaScript-Basics, HTML Basics
  12. CS | 11 | System Analysis And Design: Fundamentals of Systems and Information Systems, SDLC and Development Approaches, Software Documentation and Software Requirements Specification (SRS), SDD and Quality Assurance, Security, Risk Management & Maintenance
  13. CS | 12 | Information Security and Cyber Laws: Cyber Threats and Malware Attacks, Role of Internet and Web Services, Security in Mobile and Wireless Computing, Electronic Data Interchange and E-Commerce, Physical Security and Cryptography Basics, Intrusion Detection Systems (IDS), Cyber Safety and Security
  14. CS | 13 | Computer Graphics: Basics of Computer Graphics, 2-D Geometrical Transforms and Viewing, 3-D Object Representation, Geometric Transformations and Viewing
  15. GS Paper | 01 | Indian and World Geography: Geography
  16. GS Paper | 02 | History: History
  17. GS Paper | 03 | Indian Economy & Social Development: Indian Economy
  18. GS Paper | 04 | General Science: Biology, Chemistry, Physics
  19. GS Paper | 05 | Elementary Maths: Number System, Divisibility Rules, HCF LCM, Percentage, Profit and Loss, Simple Interest and Compound Interest, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Algebra, Mensuration and Geometry, Data Interpretation, Arithmetic, Statistics, Probability, Sequence and Series (Series), Mixture and Alligation, Calculus, Trigonometry, Vectors
  20. GS Paper | 06 | Indian Polity and Governance: Polity
  21. GS Paper | 07 | Current Events: GK- Current Affairs
  22. UPLT Live Classes Notes: UPLT Live Classes
  23. UPLT Full Mock Tests Tier 1:
  24. UPLT Full Mock Tests Tier 2:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture provides a concise overview of Binary Search Tree (BST) operations, focusing heavily on the insertion mechanism. It opens with a definition slide outlining the three main operations: insertion, deletion, and lookup. The content is a detailed walkthrough of a GATE 2015 problem involving tree construction. The instructor methodically constructs a BST by inserting a specific sequence of integers: 71, 65, 84, 69, 67, and 83. He explains the logic behind each placement clearly. The problem requires identifying the element residing at the lowest level. By visually drawing the tree node by node, the instructor clarifies how the sequence of insertion dictates the final shape and depth of the tree, leading to the correct identification of the deepest node.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with a slide titled "Operations," listing the three primary functions: insertion, deletion, and lookup. The instructor introduces a GATE 2015 problem, asking to determine the element at the lowest level after inserting 71, 65, 84, 69, 67, and 83 into an initially empty BST. He starts the construction process by placing 71 as the root node. Following the BST property, he inserts 65 as the left child of 71 and 84 as the right child. The process continues with 69 being placed as the right child of 65. Subsequently, 67 is inserted as the left child of 69. Finally, 83 is added as the left child of 84. Throughout this process, the instructor draws the tree structure on the screen, visually demonstrating the hierarchical relationships and node placement.

  2. 2:00 – 2:22 02:00-02:22

    In the final segment, the instructor completes the analysis. He examines the levels of the tree to identify the deepest node. The tree has 71 at the root, 65 and 84 at the first level, 69 and 83 at the second level, and 67 at the third level. He points out that 67 is the only element at the lowest level (level 3) of the tree. Consequently, he circles option (B) 67 on the slide, confirming it as the correct answer to the GATE question. The video concludes with the final tree diagram and the selected option clearly displayed for the students.

The lecture transitions from theoretical definitions to practical problem-solving. Defining core operations first establishes the necessary rules. The step-by-step drawing reinforces the abstract concept of tree insertion. The final identification of the lowest level element ties the construction process back to the specific question asked, demonstrating how structural properties are derived from insertion sequences effectively. This approach ensures students grasp the "how" and "why" of BST operations effectively.

Loading lesson…