Understanding Data Storage Sizes: KB, MB, GB, TB

The question asks us to arrange common data storage units from the smallest size to the largest size. These units are used to measure the amount of data that can be stored on devices like hard drives, USB drives, or in computer memory.

Let's look at the common data units and their relative sizes:

• Kilobyte (KB): This is one of the smallest units commonly used. It is approximately one thousand bytes. Specifically, 1 KB = $1024$ bytes.
• Megabyte (MB): This unit is larger than a Kilobyte. 1 MB is approximately one million bytes. Specifically, 1 MB = $1024$ KB.
• Gigabyte (GB): A Gigabyte is larger than a Megabyte. 1 GB is approximately one billion bytes. Specifically, 1 GB = $1024$ MB.
• Terabyte (TB): This is a very large unit, typically used for large storage devices. 1 TB is approximately one trillion bytes. Specifically, 1 TB = $1024$ GB.

Based on these relationships, the order from smallest to largest is clear:

Byte < Kilobyte (KB) < Megabyte (MB) < Gigabyte (GB) < Terabyte (TB)

We can summarize the common data sizes and their relationships in a table:

Now, let's examine the given options to find the one that correctly arranges KB, MB, GB, and TB from smallest to largest:

• Option 1: KB, MB, TB, GB. This order places TB before GB, which is incorrect because TB is larger than GB.
• Option 2: MB, TB, GB, KB. This order starts with MB and ends with KB, which is incorrect because KB is smaller than MB, GB, and TB, and TB is the largest among the listed units.
• Option 3: GB, KB, MB, TB. This order places GB first and KB second, which is incorrect because KB is smaller than GB and MB.
• Option 4: KB, MB, GB, TB. This order starts with KB, followed by MB, then GB, and finally TB. This correctly follows the sequence from smallest to largest data storage size unit.

Therefore, the series arranged from smallest to largest data size is KB, MB, GB, TB.

Revision Table: Data Size Units

Additional Information on Data Measurement Units

Data storage sizes are typically measured in powers of $2$. While KB is often approximated as $1000$ bytes, the exact value is $1024$ ($2^{10}$) bytes. Similarly, MB is $1024$ KB ($2^{20}$ bytes), GB is $1024$ MB ($2^{30}$ bytes), and TB is $1024$ GB ($2^{40}$ bytes). There are even larger units like Petabyte (PB), Exabyte (EB), Zettabyte (ZB), and Yottabyte (YB), where each subsequent unit is $1024$ times larger than the previous one.

In some contexts, particularly with hard drive manufacturers, powers of $10$ are used (e.g., 1 MB = $1000$ KB). However, in computing, powers of $2$ ($1024$) are the standard for memory and file sizes. Units based on powers of $1024$ are sometimes distinguished with the "iB" suffix, like KiB (Kibibyte), MiB (Mebibyte), GiB (Gibibyte), and TiB (Tebibyte), but KB, MB, GB, TB are commonly used to represent the base-$2$ values in practice.