Understanding Hash Tables and Modulo Operations for WGU ICSC2100 C949

In a hash table with a modulo hash function and 50 buckets, which bucket number will HashSearch(table, 201) search?

• A. 0
• B. 1
• C. 49
• D. 201

Answer: (B)

To determine which bucket the hash function will direct the search for the value 201 in a hash table with 50 buckets, we must apply the modulo operation. The principle behind using a modulo hash function involves taking the value to be hashed (in this case, 201) and calculating the remainder when it is divided by the number of buckets (50). The calculation involved here is straightforward: \[ \text{Bucket Number} = 201 \mod 50 \] When you perform the division of 201 by 50, the quotient is 4 (since 50 goes into 201 four times, which is 200), and the remainder is 1 (because when you subtract 200 from 201, you're left with 1). Therefore, the result of the modulo operation, which determines the specific bucket for the search, is 1. This means that the HashSearch function will look in bucket number 1 for the value 201 in the hash table. Understanding the modulo operation in this context is crucial as it ensures that the hashed value is distributed properly across the available buckets, allowing for efficient data retrieval.

When you're diving into the world of data structures, understanding how hash tables work can feel a bit overwhelming, can’t it? However, grasping the concepts behind the modulo hash function can make all the difference in your studies for the WGU ICSC2100 C949 course. Let’s break it down a bit!

First things first, let’s tackle that juicy question: In a hash table with 50 buckets, where do we find the value 201? A quick search using a function called HashSearch will lead us to the right destination. But how, you ask? It's all about the nifty modulo operation.

Now, here’s where it gets interesting. Imagine you’re dividing a pizza into slices—when you want to share it among your friends but don’t want anyone to go hungry. You’ve got 50 slices (or buckets, in hash table lingo) to work with, right? When you want to place the 201st piece of pepperoni (our value) onto one of those slices, you’ve got to figure out where it fits best.

So, let’s get into that modulo formula:

[ \text{Bucket Number} = 201 \mod 50 ]

What's happening here is pretty straightforward. By dividing 201 by 50, you find that 50 fits into 201 exactly four times, giving us a quotient of 4—easy enough so far? Now, if we subtract 200 (that’s 50 times 4) from 201, we end up with a remainder of 1. Yes, just like that slice you saved for yourself!

The magic of the modulo operation tells us that we should look in bucket number 1 for that right slice (or value, in programming terms!). This nifty little trick ensures a fair distribution of our values across the hash table—no one gets overcrowded on value placement here.

Picture this: You’re at a database party, and everyone is mingling in their respective buckets, ensuring that finding your data becomes an efficient task without any crowded chaos. This is why understanding these underlying principles is key, especially in your upcoming exam!

Moreover, the importance of efficient data retrieval can’t be stressed enough in real-world applications. Whether you’re building a website, working with databases, or developing algorithms, knowing how to implement hash tables effectively can make or break the performance of your next big project.

So, as you prepare for the WGU ICSC2100 C949 Data Structures and Algorithms I exam, remember this: mastering the concept of hash tables and the modulo function isn’t just about passing the tests. It’s about laying a solid foundation for your career in tech. You’ll be amazed at how this knowledge fits into the broader world of data structures!

Keep practicing these principles, and soon enough, you’ll have that HashSearch function down to an art. Good luck with your studies—here’s to a bright future in computer science!