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Comprehensive Guide to Hashing in Data Structures: Techniques, Examples, and Applications in 2025
Updated on 31 December, 2024
184.64K+ views
• 11 min read
Table of Contents
- What is Hashing in Data Structure?
- Hash Tables: Structure and Implementation
- Mechanisms of Hash Function in Data Structures with Examples
- Collision Resolution Techniques in Hashing
- Advantages of Using Hashing in Data Structures
- Disadvantages of Hashing in Data Structure
- Practical Applications of Hashing in Computing
- How can upGrad Help You?
Hashing is a powerful tool in data management. It helps retrieve data quickly and efficiently, making it vital for today’s computing needs. Whether you are handling large datasets or running search operations, hashing in data structure ensures fast and reliable performance.
Did you know that over 70% of tech systems use hashing for real-time data processing? At its core, hashing uses a hash function in data structure to map data to unique values called hash codes. This mapping simplifies storage and retrieval, even in large datasets.
In this guide, you’ll uncover how hashing works, explore its techniques and understand its applications. Read on to master the key to seamless data handling with hashing.
What is Hashing in Data Structure?
Hashing in data structure is a method of mapping data of arbitrary size to fixed-sized values. This mapping is achieved using a hash function in the data structure, which produces a small integer value known as a hash value, hash code, or hash sum. Hashing ensures efficient storage and retrieval of information, making it an essential tool in algorithms and database systems.
To maximize the efficiency of hashing in the data structure, a good hash function must meet key requirements for optimal performance and minimal collisions.
Let’s have a look at them:
Requirements of a Good Hash Function
A robust hash function in data structure should exhibit the following characteristics:
- Ease of Computation:
It should be quick and simple to compute for optimal performance.
Example: Hashing a string into a numeric value using ASCII codes for each character, then applying a modulus operation. - Even Distribution:
Distributes keys evenly across the hash table to prevent clustering and optimize space usage.
Example: A function like h(x) = x % 10 ensures keys are spread across 10 buckets. - Collision Avoidance:
Minimizes collisions where two elements are assigned the same hash value, ensuring accuracy and efficiency.
Example: Using a prime number for the modulus operation, such as h(x) = x % 31, reduces collisions. - Hidden Properties:
Ensures that the hash value does not expose information about the original data, enhancing security.
Example: Cryptographic hash functions like SHA-256 produce secure hash values that cannot reveal input details.
- Puzzle Friendly:
It makes it computationally difficult to reverse-engineer the original input from the hash value, supporting cryptographic applications.
Example: A password hashed with a salt using SHA-512 ensures strong security, even if the hash is exposed.
With these requirements met, a hash function can provide efficient data retrieval and storage.
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Building on the foundations of hashing in data structure, let’s explore how hash tables use hashing for efficient data storage and retrieval.
Hash Tables: Structure and Implementation
A hash table is a data structure that stores key-value pairs and uses a hash function in the data structure to generate unique indexes for each key. This ensures efficient data storage, retrieval, and management.
To understand hash tables, let’s delve into their functionality and structure, which make them indispensable for efficient data handling.
Functionality
Hash tables rely on hashing to map keys to unique indexes, enabling quick operations. Here’s how they work:
- Insertion: The hash function generates an index for the key, and the corresponding value is stored at that index.
- Update: Directly access the index generated by the hash function and update the value.
- Search: The hash function locates the index, allowing fast retrieval of the associated value.
These operations make hash tables a preferred choice for tasks requiring constant-time performance.
Structure
The hash table in the data structure is essentially an array where:
- Each key is converted into an index using a hash function in the data structure.
- The value is stored at the computed index in the array.
- In case of collisions (two keys generating the same index), techniques like chaining or open addressing are used to manage data.
This structure ensures fast and efficient access when the index values are known. By combining a simple array structure with powerful hashing mechanisms, hash tables achieve remarkable efficiency in handling large datasets.
With a clear understanding of hash tables, let’s now explore the mechanisms of hash functions and how they enable efficient data mapping with practical examples.
Mechanisms of Hash Function in Data Structures with Examples
Hashing maps strings or numbers to small integer values using a hash function in the data structure. The hash table then retrieves items efficiently using the generated hash value as an index.
Let’s explore the mechanisms step by step.
Objective of Hashing
The primary goal of hashing is to distribute data evenly across an array while ensuring direct access through unique keys.
- Uniform Distribution: A good hash function minimizes clustering and spreads data evenly across the hash table.
- Direct Access: Each element is assigned a unique key, which is converted to an array index by the hash function for fast retrieval.
With this objective in mind, let’s dive into how key-value pairs are stored and managed in hash tables.
Key-Value Pair Storage
Hash tables store data as key-value pairs, where the key acts as input to the hash function in the data structure. This generates a unique index for the value in the array.
- Key: Represents the identifier for the data (e.g., an ID or name).
- Value: Represents the data to be stored (e.g., user details or a number).
- Hashing Function: Converts the key into an array index, ensuring efficient data retrieval.
This mechanism allows quick insertions, updates, and lookups, even in large datasets. Let’s illustrate this with an example.
Example: Storing Items in a Hash Table
Scenario:
Storing key-value pairs inside a hash table with 30 cells.
Key-Value Pairs:
- Keys: 3, 21, 1, 40, 5, 11, 15, 18, 16, 38
- Values: 21, 72, 36, 30, 44, 33, 12, 80, 99
Also Read: Sorting in Data Structure: Categories & Types [With Examples]
Hash Table Representation:
The keys are hashed using a simple hashing function:
Index = Key%30
Key |
Value |
Hash Function (Key % 30) |
Array Index |
3 | 21 | 3%30=3 | 3 |
21 | 72 | 21%30=21 | 21 |
1 | 36 | 1%30=1 | 1 |
40 | 30 | 40%30=10 | 10 |
5 | 44 | 5%30=5 | 5 |
11 | 33 | 11%30=11 | 11 |
15 | 12 | 15%30=15 | 15 |
18 | 80 | 18%30=18 | 18 |
16 | 99 | 16%30=16 | 16 |
Understanding how hash functions work lays the foundation for addressing collisions—let’s now explore the collision resolution techniques in hashing.
Collision Resolution Techniques in Hashing
Collisions occur when two keys are assigned the same index in a hash table. This creates a problem since each index should ideally store only one value. To handle such situations, various collision resolution techniques are employed.
Let’s have a look at these:
Method |
Description |
Advantages |
Disadvantages |
Example |
Open Hashing (Separate Chaining) | Each index points to a list (chain) of all elements that hash to the same index. | Easy to implement and flexible with the number of elements. | Requires extra memory for chains. | Index 3 stores 21,9921, 9921,99; Index 5 stores 44,3344, 3344,33. |
Closed Hashing (Open Addressing) | All data is stored within the hash table, using systematic probing to resolve collisions. | Efficient use of table space. | Requires careful probing mechanism to avoid clustering. | |
Linear Probing | Checks the next sequential slot in the array until an empty one is found. | Simple to implement. | This can lead to clustering (consecutive slots get filled). | If index 3 is occupied, check index 4, then 5, and so on. |
Quadratic Probing | Checks slots at quadratic intervals (e.g., 12,22,321^2, 2^2, 3^212,22,32) from the original probe location. | Reduces clustering compared to linear probing. | It may fail if the table is too full. | If index 3 is occupied, check index 4 (3+123+1^23+12), then 7 (3+223+2^23+22). |
Double Hashing | Uses a second hash function to determine the probe sequence for resolving collisions. | Minimizes clustering and increases efficiency. | Requires an additional hash function. | If h1(x)h_1(x)h1(x) is occupied, uses h2(x)h_2(x)h2(x) to calculate the next index. |
Among these methods, linear probing is one of the simplest and widely used. Let’s dive deeper into its mechanics and illustrate it with an example.
Linear Probing Method
Linear probing resolves collisions by searching sequentially for the next empty slot in the hash table.
How It Works:
- When a collision occurs, the algorithm moves linearly (slot by slot) through the array to find an empty cell.
- Once an empty slot is located, the key-value pair is stored there.
Steps:
- Hash the key using the hash function.
- Check if the resulting index is empty.
- If occupied, probe the next sequential index until an empty slot is found.
- Store the key-value pair in the empty slot.
Example: Linear Probing in Action
Scenario: Storing items in a hash table of size 30.
Key-Value Pairs:
- Keys: 3, 1, 63, 5, 11, 15, 18, 16, 46
- Values: 21, 72, 36, 30, 44, 33, 12, 80, 99
Hash Function:
Index = Key%30
Collision Handling: Use linear probing to resolve collisions.
Key |
Value |
Initial Index (Key % 30) |
Final Index (After Linear Probing) |
3 | 21 | 3 | 3 |
1 | 72 | 1 | 1 |
63 | 36 | 3 (collision) | 4 |
5 | 30 | 5 | 5 |
11 | 44 | 11 | 11 |
15 | 33 | 15 | 15 |
18 | 12 | 18 | 18 |
16 | 80 | 16 | 16 |
46 | 99 | 16 (collision) | 17 |
Having explored collision resolution techniques, let’s now look at the advantages of using hashing in data structures and its efficiency in data handling.
Also Read: Types of Data Structures in Python: List, Tuple, Sets & Dictionary
Advantages of Using Hashing in Data Structures
Hashing in data structures offers several advantages that make it a preferred method for efficient data storage and retrieval. Below are the key benefits:
Advantage |
Description |
Example Use Case |
Efficiency | Hashing provides constant-time complexity for search, insert, and delete operations on average. | Database indexing for quick lookups. |
Simplicity | Hash tables are straightforward to implement and easy to use in practical applications. | Implementing key-value pairs in caches. |
Uniform Distribution | A good hash function ensures even data distribution, minimizing collisions and optimizing space usage. | Storing user data in distributed systems. |
Dynamic Data Handling | Can handle large datasets efficiently, especially when combined with proper collision resolution techniques. | Managing real-time web sessions. |
Flexibility | Supports a variety of data types, including numbers, strings, and objects, for flexible implementation. | Password storage using hashing algorithms. |
Hashing combines simplicity with performance, making it indispensable for building fast, scalable systems.
While hashing offers significant advantages, it’s equally important to consider the disadvantages of hashing in data structures to understand its limitations.
Disadvantages of Hashing in Data Structure
While hashing offers numerous benefits, it also comes with certain drawbacks that can impact its effectiveness in specific scenarios. Below are the potential disadvantages:
Disadvantage |
Description |
Example Impact |
Collisions | Handling collisions, such as through chaining or probing, can complicate implementation and slow performance. | Increased lookup time in hash tables with poor hash functions. |
Fixed Size | Hash tables have a fixed size, leading to issues like overflow if the number of entries exceeds capacity. | Requires resizing when handling dynamic data sets. |
Hash Function Dependency | The efficiency of hashing heavily depends on the quality of the hash function. Poor functions result in clustering and collisions. | Degraded performance with uneven data distribution. |
Space Overhead | Hash tables often require additional memory for collision resolution techniques, such as chains or probes. | Higher memory usage in memory-constrained systems. |
Not Suitable for Ordered Data | Hashing doesn’t maintain data order, making it unsuitable for tasks requiring sequential access or sorting. | Inability to perform range queries efficiently. |
Understanding these limitations helps in deciding when to use hashing and how to optimize its implementation for specific use cases.
Despite its drawbacks, hashing remains a cornerstone in computing—let’s explore its practical applications in real-world scenarios.
Practical Applications of Hashing in Computing
Hashing plays a crucial role in a wide range of real-world computing applications, ensuring efficient data management and fast access. Below are some key areas where hashing is widely used:
- Databases:
- Hashing is used to index data for quick retrieval.
- Facilitates constant-time access to records using hash-based indices.
- Compilers:
- Hash tables store identifiers, keywords, and symbols for rapid lookup during compilation.
- Enhances the efficiency of symbol tables in programming environments.
- Caches:
- Hashing is used to implement cache mechanisms, storing frequently accessed data.
- Reduces latency by allowing quick lookups for cached resources.
- Cryptography:
- Hash functions secure data by creating unique, irreversible hash codes.
- Ensures data integrity and authentication in applications like digital signatures.
- File Systems:
- Hashing maps file names to storage locations for quick access.
- Optimizes file lookup and retrieval processes in file systems.
- Load Balancing:
- Distributes incoming requests evenly across servers using consistent hashing.
- Ensures efficient resource utilization in distributed systems.
- Password Storage:
- Stores passwords securely in hashed form to prevent unauthorized access.
- Essential for enhancing the security of authentication systems.
These applications highlight how hashing contributes to the efficiency, security, and scalability of modern computing systems.
Also Read: Compiler vs Interpreter: Difference Between Compiler and Interpreter
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References:
https://www.researchgate.net/publication/366071082_Real-Time_Big_Data_Processing_and_Analytics_Concepts_Technologies_and_Domains
Frequently Asked Questions (FAQs)
1. What is hashing in data structure?
Hashing is a technique that maps data to fixed-sized hash values using a hash function, enabling efficient data retrieval and storage.
2. What is the purpose of a hash function?
A hash function converts data (keys) into a unique index for storing in a hash table, ensuring quick access to data.
3. What are hash tables?
Hash tables are data structures that store key-value pairs, using hash functions to map keys to specific index locations.
4. What causes collisions in hashing?
Collisions occur when two keys generate the same hash value. They are resolved using techniques like chaining or probing.
5. What is linear probing?
Linear probing is a collision resolution method where the algorithm searches sequentially for the next available slot in the hash table.
6. What is the difference between open and closed hashing?
Open hashing (separate chaining) uses linked lists for collisions, while closed hashing (open addressing) keeps all data within the hash table.
7. What are the advantages of hashing?
Hashing provides constant time complexity for search, insert, and delete operations, making it efficient and straightforward.
8. What are the disadvantages of hashing?
Collisions, fixed-size hash tables, and dependency on hash function quality can affect hashing’s performance and scalability.
9. What are the practical uses of hashing?
Hashing is used in databases, caches, cryptography, password storage, file systems, and load balancing.
10. What makes a good hash function?
Good hash function is easy to compute, distributes keys evenly, minimizes collisions, and hides properties of the original data.
11. How is hashing used in cryptography?
Hashing ensures data security by creating unique, irreversible hash codes used in digital signatures and data integrity verification.
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