Tree method for conversion

Duration: 3 min

This video lesson is available to enrolled students.

Return to /learn/MPPSC-ASSISTANT-PROFESSOR-COMPUTER-SCIENCE-PAPER-2/data-structure-and-algorithms/stack/infix-postfix-prefix/asset-tree-method-for-conversion after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. About Course: About the Course
  2. Paper 1 | General Studies: State Wise GK
  3. Paper 1 | Information and Communication Technology: Role of Internet and Web Services, Security in Mobile and Wireless Computing
  4. Paper 1 | Current Affairs: GK- Current Affairs
  5. Paper 2 | Discrete Mathematical Structure: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Probability
  6. Paper 2 | Digital Computer Organization And Architecture: Number System, Number Representation, Sequential Circuits, Combinational Circuit, Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Register Transfer and Microoperations, Control Unit Design, Programming the Basic Computer
  7. Paper 2 | C Programming: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  8. Paper 2 | Programming Languages & Object-Oriented Programming Concepts: Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  9. Paper 2 | Python: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis
  10. Paper 2 | Data Structure And Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Minimum Spanning Trees, Advanced Algorithms
  11. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS
  12. Paper 2 | Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory
  13. Paper 2 | 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
  14. Paper 2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Enhanced Data Models
  15. Paper 2 | Computer Network And Information Security: Introduction to CN, Data Communication, Application Layer, Hardware basics, Cyber Threats and Malware Attacks, Network Security, 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
  16. Paper 2 | Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  17. Paper 2 | Current Trends & Technologies: Emerging Tech Trends, Approaches to AI, Search Algorithms, Game Playing, Knowledge Representation, Planning, Multi Agent Systems, Fuzzy Sets, Natural Language Processing, Artificial Neural Networks, Genetic Algorithms, Artificial Intelligence, Data Warehousing & Mining, Electronic Data Interchange and E-Commerce, Terms & Abbreviations
  18. Paper 2 | Full Length Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video features a lecture by Sanchit Jain from KnowledgeGate, focusing on converting an infix expression to postfix notation. The specific problem is from the GATE 2004 exam. The instructor systematically breaks down the expression `a + b * c - d ^ e ^ f` by constructing an expression tree based on operator precedence and associativity rules. He emphasizes that `+`, `-`, and `*` are left-associative, while `^` is right-associative, with precedence order `^` > `*` > `+` > `-`. The lecture demonstrates how to traverse the tree in post-order to derive the final postfix string.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the problem statement written on the whiteboard: convert the infix expression `a + b * c - d ^ e ^ f` to postfix. He lists the operator properties, noting that `+`, `-`, `*` are left-associative and `^` is right-associative. The precedence order is established as `^` (highest), `*`, `+`, `-` (lowest). He begins constructing the expression tree by identifying the operator with the lowest precedence, which is `-`. This splits the expression into a left sub-expression `a + b * c` and a right sub-expression `d ^ e ^ f`. He then recursively analyzes the left side, identifying `+` as the root for that section, separating `a` and `b * c`. The `b * c` part is resolved with `*` as the operator. Moving to the right side, he highlights the right associativity of `^`, explaining that `d ^ e ^ f` is grouped as `d ^ (e ^ f)`. This dictates that the first `^` is the root of the right subtree, with `d` as the left child and the second `^` as the right child.

  2. 2:00 – 3:12 02:00-03:12

    The instructor completes the expression tree diagram on the board. The root is `-`. The left child is `+`, with `a` as its left child and `*` as its right child (which has `b` and `c` as children). The right child of the root is the first `^`, with `d` as its left child and the second `^` as its right child (which has `e` and `f` as children). He then performs a post-order traversal (Left, Right, Root) to generate the postfix expression. For the left subtree, the traversal yields `abc*+`. For the right subtree, the traversal yields `def^^`. Combining these parts with the root operator `-`, the final postfix expression is `abc*+def^^-`. He compares this result with the multiple-choice options, identifying Option (A) `abc x + def ^ ^ -` as the correct answer. He explicitly points out that Option (B) would be correct if `^` were left-associative, reinforcing the importance of the associativity rule.

The video provides a clear, step-by-step method for converting infix expressions to postfix notation using expression trees. The key learning points are the hierarchy of operator precedence and the impact of associativity on tree structure. Specifically, the right associativity of the exponentiation operator `^` causes the rightmost operator to become a child of the leftmost operator of the same precedence, resulting in the postfix sequence `def^^` rather than `de^f^`. This systematic approach ensures accurate conversion for complex expressions involving mixed operators.

Loading lesson…