Data Structures & Applications - Question Bank IA-1

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Questions and Answers

Define data structures. Give the detailed explanation of its classification.

A data structure is a particular way of organizing data in a computer so that it can be used efficiently. The way data is organized can have significant impact on the efficiency of algorithms that process and manipulate the data.

Classification of Data Structures:

According to the way data is organized, data structures are categorized into:

  1. Linear Data Structures: Represent data in a sequential manner, where each element has a unique predecessor and successor.
  2. Non-Linear Data Structures: Represent data in a hierarchical or interconnected manner, where elements can have multiple predecessors and successors.

Flashcards

Data Structures

Organized ways to store and manage data in a computer efficiently.

Data Structure Classification

Categories like linear (arrays, linked lists) and non-linear (trees, graphs) based on how data is structured and accessed.

Structures (C Programming)

User-defined data types for grouping related data items.

Malloc Function

Dynamically allocates memory during program execution.

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Calloc Function

Dynamically allocates memory and sets it to zero.

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Stack

Linear data structure that follows the Last-In, First-Out (LIFO) principle.

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Infix Notation

A way to write arithmetic expressions where operators are placed between operands.

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Postfix Notation

A way to write arithmetic expressions where operators are placed after operands.

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Prefix Notation

A way to write arithmetic expressions where operators are placed before operands.

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Evaluating Postfix Expressions

A method to calculate the result of a postfix expression using a stack.

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Postfix Expression Evaluation Algorithm

Steps to compute a postfix expression outcome.

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Tracing Table

Table used to track step by step calculations.

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What are data structures?

Organised ways to store and manage data in a computer, making it efficient to access and process information. They're like containers with specific rules for how data is arranged.

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Linear vs. Non-linear Data Structures

Linear data structures arrange data in a single sequence, like a line, while non-linear structures allow data to branch out in multiple directions, like a tree.

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C structures

Custom data types in C programming that let you group related data items under one name, making code more organised and readable.

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malloc() vs. calloc()

Both are memory allocation functions in C. malloc() allocates memory, calloc() allocates and zeroes it out.

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Dynamic memory allocation

The ability to allocate memory for variables during program execution, rather than fixing the memory size beforehand.

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Stack (LIFO)

A linear data structure where the last element added is the first to be removed, like a stack of plates.

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Stack operations

Common stack operations include push (add an item), pop (remove an item), peek (view the top item), and isEmpty (check if the stack is empty).

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Stack using dynamic arrays

Implementing a stack using dynamic arrays allows the stack to grow or shrink in size as needed during program execution.

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Infix to Postfix Conversion

Transforming an arithmetic expression from infix notation (operators between operands) to postfix notation (operators after operands).

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Postfix to Infix Conversion

Transforming an arithmetic expression from postfix notation (operators after operands) to infix notation (operators between operands).

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Infix to Prefix Conversion

Transforming an arithmetic expression from infix notation (operators between operands) to prefix notation (operators before operands).

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Prefix to Infix Conversion

Transforming an arithmetic expression from prefix notation (operators before operands) to infix notation (operators between operands).

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Trace table for expression evaluation

A table used to track the intermediate steps and the contents of the stack during the evaluation of an expression, especially useful for debugging.

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What does it mean to 'evaluate' a postfix expression?

To find the numerical result of an arithmetic expression written in postfix notation by performing the operations in the correct order.

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Postfix evaluation algorithm

A set of steps to systematically calculate the result of a postfix expression using a stack.

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What are the advantages of postfix notation?

Postfix notation avoids the need for parenthesis and simplifies the evaluation process with the use of a stack.

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What is the difference between infix and postfix?

Infix has operators between operands, while postfix has them after operands.

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Study Notes

Data Structures & Applications - Question Bank IA-1 (2024-25)

  • Qn. 1: Define data structures and explain their classifications. (Marks: 05, CO-1, L1, L2)

  • Qn. 2: Define data structures. Write a C program to calculate a student's average in three tests. The program should prompt for input, calculate the average, and then display the average. (Marks: 05, CO1, L1, L2, L3)

  • Qn. 3: Differentiate between malloc and calloc functions. (Marks: 05, CO1, L1, L2)

  • Qn. 4: Explain stacks, including simulations of stack operations using various methodologies. (Marks: 05, CO-2, L1, L2)

  • Qn. 5: Simulate stack operations using dynamic arrays. (Marks: N/A)

  • Qn. 6: Convert infix expressions to postfix and list the steps involved:

    • a) ((A+(B-C)*D)^E+F)
    • b) X^Y^Z-M-N+P/Q
    • c) (A+(B-C)*D)
    • d) (A+B)*(D-C). (Marks: 05, CO2, L3)
  • Qn. 7: Convert infix expressions to prefix and list the steps involved:

    • a) ((A+(B-C)*D)^E+F)
    • b) X^Y^Z-M-N+P/Q
    • c) (A+(B-C)*D)
    • d) (A+B)*(D-C). (Marks: 05, CO2, L3)
  • Qn. 8: Convert infix expressions to postfix using a tracing table:

    • a) A+(B-C)*d
    • b) (A+(B-C)*D)
    • c) A-B/(C*D$E). (Marks: 05, CO2, L3)
  • Qn. 9: Describe the algorithm for evaluating postfix expressions. (Marks: 05, CO2, L1, L2)

  • Qn. 10: Evaluate a given postfix expression using a trace table. (Marks: 05, CO2, L1, L2)

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