MCS-208 Solved Assignment 2026-27 in English | PGDCA

The MCS-208 Solved Assignment 2026-27 in English is prepared for students studying MCS-208: Data Structures and Algorithms under the IGNOU Post Graduate Diploma in Computer Applications programme.

IGNOU officially lists MCS-208: Data Structures and Algorithms as a 4-credit theory course in PGDCA Semester 2. The course focuses on algorithms, data structures, searching and sorting techniques, and advanced data structures used for solving complex computational problems.

The supplied MCS-208 Solved Assignment 2026-27 contains four questions covering binary-tree traversal, bipartite graphs, linked-list representation and hashing with lexicographic ordering.

MCS-208 Data Structures and Algorithms Course Information

IGNOU’s programme information confirms MCS-208 as a 4-credit theory course in PGDCA Semester 2.

MCS-208 Solved Assignment 2026-27 Overview

The MCS-208 Solved Assignment 2026-27 in English covers important Data Structures and Algorithms concepts through four practical and theoretical questions.

The first question focuses on level-order traversal of a binary tree, requiring an algorithm that lists node data fields level by level and from left to right. The supplied solution uses a queue and explains its time and space complexity.

The second question proves that every tree is a bipartite graph using level assignment, two-set partitioning and two-coloring concepts.

The third question deals with a special linear-list structure in which insertion is possible at both ends while deletion is permitted from only one end. The supplied solution represents it using a linked list and provides insertion and deletion algorithms with boundary conditions.

The fourth question covers hash tables, hashing, linear probing, lexicographic ordering and algorithm complexity. The supplied solution explains how identifiers can be extracted and sorted to produce dictionary order.

MCS-208 Assignment Questions

Course Code: MCS-208
Course Title: Data Structures and Algorithms

Question 1

Write an algorithm to list the data fields of the nodes of a binary tree by level. Within levels, nodes are to be listed left to right.

The supplied solution uses Level Order Traversal / Breadth-First Traversal (BFS) and a queue to process the nodes level by level.

It also discusses the algorithm’s O(n) time complexity and O(n) auxiliary space complexity in the worst case.

Question 2

Show that every tree is a bipartite graph.

The solution explains:

• Definition of a tree
• Definition of a bipartite graph
• Selection of a root vertex
• Level assignment
• Division into even- and odd-level sets
• Verification of edges between the two sets
• Two-coloring proof
• Applications of bipartite trees

The solution demonstrates that vertices at even levels can form one set and vertices at odd levels can form the other, with every edge connecting vertices from different sets.

Question 3

Consider a hypothetical data object X1. X1 is a linear list with the restriction that while additions to the list may be made at either end, deletions can be made from one end only. Design a linked list representation for X1. Write addition and deletion algorithms for X1. Specify initial and boundary conditions for your representation.

The supplied solution identifies X1 as an Input-Restricted Deque and uses a singly linked-list representation with FRONT and REAR pointers.

The solution covers:

• Linked-list node structure
• FRONT and REAR pointers
• Initial conditions
• Addition at the front
• Addition at the rear
• Deletion from the front
• Empty-list condition
• Single-node condition
• Memory overflow
• Underflow
• Time complexity
• Applications

The insertion and deletion operations are explained with O(1) time complexity.

Question 4

Write an algorithm to list all the identifiers in a hash table in lexicographic order. Assume the hash function f is f(X) = first character of X and linear probing is used. How much time does your algorithm take?

The solution explains that a hash table is designed for efficient retrieval rather than maintaining sorted order. Therefore, identifiers are copied into an auxiliary list and then sorted before printing.

The supplied example demonstrates identifiers such as Apple, Zebra, Mango, Cat, Ball and Dog, showing why direct hash-table traversal does not necessarily produce lexicographic order.

The solution analyses:

• Hash-table scanning
• Identifier extraction
• Merge Sort / Quick Sort
• Lexicographic output
• Printing cost
• Auxiliary space
• Overall time complexity

It concludes that scanning takes O(m) for a table of size m, while sorting n identifiers takes O(n log n) using Merge Sort or average-case Quick Sort, making sorting the dominant operation in the typical case.

What Does This MCS-208 Solved Assignment PDF Include?

The MCS-208 Solved Assignment 2026-27 in English includes structured reference material covering:

• Binary trees
• Level-order traversal
• Breadth-First Search
• Queue-based tree traversal
• Tree complexity analysis
• Bipartite graphs
• Tree two-coloring
• Graph theory applications
• Linked lists
• Input-restricted deque
• FRONT and REAR pointers
• Insertion at both ends
• Deletion from one end
• Boundary conditions
• Underflow and overflow
• Hash tables
• Hash functions
• Linear probing
• Lexicographic ordering
• Merge Sort
• Quick Sort
• Time complexity
• Space complexity
• Data structure applications

The supplied PDF contains 21 pages of solved assignment material.

Key Features

• MCS-208 course-specific content
• 2026–27 session
• English Medium
• Complete four-question assignment coverage
• Structured reference answers
• Algorithms and pseudocode
• Binary-tree traversal
• Graph concepts
• Linked-list algorithms
• Hashing and linear probing
• Complexity analysis
• Digital PDF format
• Instant Download
• Mobile and desktop friendly

Who Can Use the MCS-208 Assignment?

This product is intended for students enrolled in the IGNOU PGDCA programme who are preparing MCS-208 for the 2026–27 assignment cycle.

IGNOU’s current assignment listing specifically maps MCS-208 to PGDCA_NEW for July 2026 and January 2027 in English medium.

IGNOU’s PGDCA programme page lists MCS-208 as a 4-credit Data Structures and Algorithms theory course in Semester 2.

How to Get This MCS-208 PDF

Step 1: Add the Product

Select the MCS-208 Solved Assignment 2026-27 in English product and add it to your cart.

Step 2: Complete Payment

Complete the checkout process using the available payment option.

Step 3: Get Instant Access

After successful order completion, access the digital product provided through the website.

Step 4: Download the PDF

Download the MCS-208 PDF and save it on your mobile, tablet or computer.

Step 5: Prepare Your Assignment

Read each question carefully and use the solved material as academic reference while preparing your assignment according to IGNOU guidelines.

Helpful Resources

Official IGNOU Assignment Portal:
IGNOU Current Assignments

IGNOU PGDCA Programme:
IGNOU PGDCA Programme

Mother Publication:
Mother Publication

FAQ

1. What is MCS-208?

MCS-208 is Data Structures and Algorithms, a 4-credit theory course in the IGNOU PGDCA programme.

2. Which programme is applicable for this MCS-208 product?

The current IGNOU assignment listing shows PGDCA_NEW for MCS-208.

3. What is the course title of MCS-208?

The course title is Data Structures and Algorithms.

4. What is the medium of this MCS-208 assignment?

This product is for English Medium students.

5. Which session does this product cover?

This product covers the 2026–27 assignment cycle.

6. How many questions are included?

The supplied solved assignment contains four main questions covering binary trees, bipartite graphs, linked lists and hash tables.

7. Does MCS-208 include binary-tree questions?

Yes. Question 1 asks for an algorithm to list binary-tree nodes level by level from left to right.

8. Does MCS-208 cover graph theory?

Yes. Question 2 requires showing that every tree is a bipartite graph.

9. Does MCS-208 include linked-list algorithms?

Yes. Question 3 requires a linked-list representation and insertion/deletion algorithms for a list that permits additions at either end but deletion from only one end.

10. Does MCS-208 cover hashing?

Yes. Question 4 covers hash tables, a first-character hash function, linear probing, lexicographic ordering and time complexity.

Disclaimer

Mother Publication independently prepares this material for educational and reference purposes. Students should understand the content and prepare their assignments appropriately. Mother Publication is not affiliated with, endorsed by, or officially associated with IGNOU.

PRODUCT TAGS

MCS-208, MCS 208, MCS208, MCS-28, MCS 28, MCS28, MCS-208 solved assignment 2026-27, MCS 208 solved assignment 2026-27, MCS208 solved assignment 2027, MCS-208 assignment 2027, MCS 208 assignment 2027, MCS208 assignment, MCS-208 solved assignment, MCS 208 assignment, Data Structures and Algorithms assignment, Data Structures and Algorithms solved assignment, Data Structures and Algorithms PDF, MCS-208 PDF, MCS-208 assignment PDF, MCS-208 solved PDF, MCS-208 2026-27, MCS-208 2027, MCS 208 2026 27, MCS208 2027, PGDCA assignment, PGDCA solved assignment 2026-27, PGDCA_NEW assignment, MCS Data Structures assignment, Data Structures solved assignment, Algorithms solved assignment, Data Structures assignment PDF, Algorithms assignment PDF, MCS-208 English assignment, MCS-208 English medium, MCS-208 Data Structures assignment 2026-27, MCS-208 binary tree assignment, MCS-208 bipartite graph assignment, MCS-208 linked list assignment, MCS-208 hashing assignment, MCS-208 hash table assignment, MCS-208 linear probing assignment, MCS-208 algorithm assignment, MCS-208 BFS assignment, MCS-208 tree assignment, MCS-208 data structure PDF, MCS-208 solved PDF 2026-27