Data Storage Converter
Convert between data storage units with support for both binary (1024-based) and decimal (1000-based) standards.
How to Use the Data Storage Converter
Converting between data storage units is simple:
- Enter a numeric value in the input field. You can use whole numbers or decimals.
- Select the source unit from the dropdown (Bit, Byte, KB, MB, GB, TB, or PB).
- Choose Binary or Decimal standard. Binary (1024) is used by operating systems; Decimal (1000) is used by drive manufacturers.
- View all conversions in the results table. Click Copy to copy any value.
About Data Storage Units
Digital data is measured in bits and bytes. A bit is the smallest unit, representing a single 0 or 1. A byte equals 8 bits and can represent one character of text. As data sizes have grown, larger units such as kilobytes (KB), megabytes (MB), gigabytes (GB), terabytes (TB), and petabytes (PB) have become standard.
Two competing standards exist: binary (base-1024, used by operating systems and RAM) and decimal (base-1000, used by storage manufacturers and networking). In binary, 1 KB = 1,024 bytes; in decimal, 1 KB = 1,000 bytes. This difference explains why a "500 GB" hard drive shows roughly 465 GB in your operating system. The IEC introduced terms like KiB, MiB, and GiB to distinguish binary units, but traditional notation remains widespread.
Common Data Storage Conversions
The table below shows frequently referenced data storage conversions in both binary (1024-based) and decimal (1000-based) standards.
| Value | Binary (1024) | Decimal (1000) |
|---|---|---|
| 1 KB / KiB | 1,024 bytes | 1,000 bytes |
| 1 MB / MiB | 1,048,576 bytes | 1,000,000 bytes |
| 1 GB / GiB | 1,073,741,824 bytes | 1,000,000,000 bytes |
| 1 TB / TiB | 1,099,511,627,776 bytes | 1,000,000,000,000 bytes |
| 500 GB (decimal) | 465.66 GiB | 500 GB |
| 1 TB (decimal) | 931.32 GiB | 1,000 GB |
| 2 TB (decimal) | 1,862.65 GiB | 2,000 GB |
| 1 PB / PiB | 1,024 TiB | 1,000 TB |
Data Storage Conversion Formulas
Data storage conversions depend on whether you use binary (powers of 1024) or decimal (powers of 1000) standards. The formulas below show how to convert between units in each system.
Binary: Each step up multiplies by 1,024. So 1 GiB = 1,024 MiB = 1,048,576 KiB = 1,073,741,824 bytes.
Decimal: Each step up multiplies by 1,000. So 1 GB = 1,000 MB = 1,000,000 KB = 1,000,000,000 bytes.
Decimal to Binary: Multiply decimal bytes by (1000^n) then divide by (1024^n) for the level.
Bits to Bytes: Divide bits by 8 to get bytes.
Worked Examples
- Convert 4 TB (decimal) to GiB: 4 TB = 4,000,000,000,000 bytes. GiB = 4,000,000,000,000 ÷ 1,073,741,824 = 3,725.29 GiB
- Convert 256 MB to bits: 256 MB = 256,000,000 bytes (decimal) = 256,000,000 × 8 = 2,048,000,000 bits
- Convert 100 Mbps to MBps: 100 Mbps ÷ 8 = 12.5 MBps (megabytes per second)
- Convert 2 GiB to MB (decimal): 2 GiB = 2 × 1,073,741,824 = 2,147,483,648 bytes. MB = 2,147,483,648 ÷ 1,000,000 = 2,147.48 MB
When You Need This Converter
Data storage conversion is increasingly important in our digital world. Here are the most common situations where this tool is essential:
- Buying Storage Devices: When purchasing hard drives, SSDs, or USB drives, understanding the difference between advertised (decimal) and actual (binary) capacity prevents confusion. A 1 TB drive shows as approximately 931 GB in your operating system because the OS uses binary math.
- Internet Speed and Downloads: Internet speeds are advertised in megabits per second (Mbps), but file sizes are shown in megabytes (MB). Dividing your internet speed by 8 gives you the approximate download rate in MBps. A 200 Mbps connection downloads at roughly 25 MBps.
- Cloud Storage Planning: Cloud services bill by GB or TB. Estimating how much storage you need for photos (3-5 MB each), videos (1-7 GB per hour), and documents requires converting between units to calculate total storage requirements and costs.
- Software Development: Programmers work with data sizes constantly when optimizing databases, managing file uploads, setting memory limits, and configuring server storage. Precise conversion between bits, bytes, and their larger units is a daily task in software engineering.
Frequently Asked Questions
Binary units use a base of 1024 (e.g., 1 KiB = 1024 bytes), as used by operating systems. Decimal units use a base of 1000 (e.g., 1 KB = 1000 bytes), as used by hard drive manufacturers. This is why a 1 TB drive shows less than 1 TB in your OS.
In decimal (SI), 1 GB = 1,000 MB. In binary (IEC), 1 GiB = 1,024 MiB. Most file managers use binary, while storage manufacturers use decimal.
There are exactly 8 bits in one byte. A bit is the smallest unit of data (0 or 1), while a byte can represent 256 different values (2^8).
Hard drive manufacturers measure in decimal (1 GB = 1,000,000,000 bytes), but operating systems display in binary (1 GiB = 1,073,741,824 bytes). A 1 TB drive shows approximately 931 GiB in your OS.
In decimal (SI), 1 TB = 1,000 GB. In binary (IEC), 1 TiB = 1,024 GiB. Most consumer storage products advertise in decimal, while operating systems display in binary.
Mbps (megabits per second) and MBps (megabytes per second) differ by a factor of 8, since 1 byte = 8 bits. Internet speeds are typically measured in Mbps, while file sizes are in MB. A 100 Mbps connection downloads at about 12.5 MBps.
Standard definition (SD) streaming uses about 1 GB per hour. HD streaming uses about 3 GB per hour. 4K/Ultra HD streaming uses about 7 GB per hour. These figures help estimate storage and bandwidth needs.
KiB (kibibyte), MiB (mebibyte), and GiB (gibibyte) are IEC binary units. KiB = 1,024 bytes, MiB = 1,048,576 bytes, GiB = 1,073,741,824 bytes. These were introduced to eliminate confusion between binary (1024-based) and decimal (1000-based) units.