Infix To Postfix Conversion Of Expression

Duration: 3 min

This video lesson is available to enrolled students.

Return to /learn/COCUBES-PREPARATION/data-structures/stack/infix-postfix-prefix/asset-infix-to-postfix-conversion-of-expression after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Aptitude: Number System, Divisibility Rules, HCF LCM, Percentage, Ratio and Proportion (Ratios), Average, Profit and Loss, Simple Interest and Compound Interest, Mixture and Alligation, Partnership, Age Problems, Time and Work, Pipe and Cistern, Speed Time and Distance, Algebra, Arithmetic, Data Interpretation, Sequence and Series (Series), Logarithm, Powers and Exponents (Surds and Indices), Permutation and Combination, Probability, Speed Mathematics and Basic Mathematics, Trigonometry
  2. Logical Reasoning: Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Seating Arrangements, Puzzle Solving (Puzzles), Data Arrangement, Syllogisms, Inequality, Data Sufficiency, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Venn Diagram, Logical Sequence Of Words, Calendar, Clock, Cubes & Dices, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning)
  3. Verbal Ability: Noun, Pronoun, Adjectives, Verb, Adverb, Tenses, Subject Verb Agreement (Verb Noun Agreement), Articles, Preposition, Conjunction, Modals, Determiner, Vocabulary, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Active Passive Voice (Voice), Direct and Indirect Speech, Sentence Construction
  4. Data Structures (Domain Test): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  5. Algorithms (Domain Test): Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms
  6. OOPs (Domain Test): Object Oriented Programming (OOPS)
  7. DBMS (Domain Test): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  8. SQL (Domain Test): SQL
  9. Operating Systems (Domain Test): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  10. Computer Networks (Domain Test): 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, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  12. Written English Test: English Writing Ability
  13. Psychometric Test: Behavioral Assessment (Behavioral Competency Profiling) (Psychometric Test)
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video features an educational lecture by Sanchit Jain from Knowledge Gate, focusing on a GATE 2004 problem regarding the conversion of infix expressions to postfix notation. The specific problem asks to convert the expression `a + b x c - d ^ e ^ f` into postfix form, given specific rules for operator precedence and associativity. The instructor systematically breaks down the expression based on the provided hierarchy: `^` (highest), `x`, `+`, `-` (lowest). He highlights that `+`, `-`, and `x` are left-associative, while `^` is right-associative. The lecture demonstrates the step-by-step process of identifying the order of operations by underlining operators in the infix expression and converting them to postfix notation sequentially.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor begins by writing the infix expression `a + b x c - d ^ e ^ f` on the whiteboard. He explicitly states the precedence rules: `^` is highest, followed by `x`, then `+` and `-`. He notes the associativity rules, emphasizing that `^` is right-associative. He starts the conversion by identifying the highest precedence operator, `x`, underlining `b x c` to show it must be evaluated first, resulting in the postfix segment `bcx`. Next, he addresses the `^` operators. Since `^` is right-associative, the expression `d ^ e ^ f` is interpreted as `d ^ (e ^ f)`. He underlines the exponentiation part, converting it to `def^^`. He writes the intermediate expression `a + bcx - def^^` on the board. He then moves to the next level, underlining `a + bcx` to get `abcx+`. Finally, he combines the remaining parts to form `abcx+def^^-`.

  2. 2:00 – 2:38 02:00-02:38

    The instructor compares his derived postfix expression `abcx+def^^-` with the multiple-choice options provided on the screen. He identifies that Option (A) `abc x + def ^ ^ -` matches his result exactly. He points to Option (A) to confirm it as the correct answer. He briefly reviews the logic to ensure no steps were missed, reinforcing the importance of associativity rules, particularly for the right-associative `^` operator. The video concludes with the confirmation of the correct option.

The lecture effectively demonstrates the algorithmic approach to infix-to-postfix conversion by manually tracing the order of operations. It highlights the critical role of operator precedence and associativity in determining the correct structure of the postfix expression. The step-by-step underlining method serves as a visual aid for students to understand how sub-expressions are resolved.

Loading lesson…