💾 File Size Converter
Convert between Bytes, KB, MB, GB, TB, PB instantly!
💾 Complete File Size Converter Guide
What is a File Size Converter?
A file size converter is an essential tool that converts digital storage units between different measurements like Bytes, Kilobytes (KB), Megabytes (MB), Gigabytes (GB), Terabytes (TB), and Petabytes (PB). Understanding file sizes is crucial for storage management, file transfers, bandwidth calculations, and system specifications. The converter handles two different measurement systems: Binary (base-1024) used by operating systems and Decimal (base-1000) used by storage manufacturers.
Binary vs Decimal Systems Explained
Binary System (Base-1024) - Computer Science Standard:
- 1 KB (Kibibyte/KiB) = 1,024 Bytes
- 1 MB (Mebibyte/MiB) = 1,024 KB = 1,048,576 Bytes
- 1 GB (Gibibyte/GiB) = 1,024 MB = 1,073,741,824 Bytes
- 1 TB (Tebibyte/TiB) = 1,024 GB = 1,099,511,627,776 Bytes
- 1 PB (Pebibyte/PiB) = 1,024 TB = 1,125,899,906,842,624 Bytes
1,024 MB = 1,024 × 1,024 KB = 1,048,576 KB
1,048,576 KB = 1,048,576 × 1,024 Bytes = 1,073,741,824 Bytes
Why Binary (1024)?
- Power of 2: Computers use binary (base-2) internally, so 2^10 = 1,024
- Memory Architecture: RAM is addressed in powers of 2 for efficiency
- Operating Systems: Windows, macOS, Linux use 1024-based calculations
- Technical Accuracy: Reflects how computers actually store data
- Historical Standard: Used since the beginning of computing
Decimal System (Base-1000) - SI Standard:
- 1 KB (Kilobyte) = 1,000 Bytes
- 1 MB (Megabyte) = 1,000 KB = 1,000,000 Bytes
- 1 GB (Gigabyte) = 1,000 MB = 1,000,000,000 Bytes
- 1 TB (Terabyte) = 1,000 GB = 1,000,000,000,000 Bytes
- 1 PB (Petabyte) = 1,000 TB = 1,000,000,000,000,000 Bytes
1,000 MB = 1,000 × 1,000 KB = 1,000,000 KB
1,000,000 KB = 1,000,000 × 1,000 Bytes = 1,000,000,000 Bytes
Why Decimal (1000)?
- SI Standard: Follows International System of Units (kilometer, kilogram, etc.)
- Marketing: Storage manufacturers use 1000 to advertise larger capacities
- Easier Math: Simpler calculations (1000 vs 1024)
- Universal Consistency: Matches metric prefixes (kilo, mega, giga)
- Modern Trend: Increasingly adopted for standardization
Why Your Hard Drive Looks Smaller Than Advertised
The Math Behind It:
- Advertised: 1 TB = 1,000,000,000,000 Bytes (decimal)
- Windows Calculates: 1,000,000,000,000 ÷ 1024 ÷ 1024 ÷ 1024 = 931.32 GB (binary)
- Difference: ~7% "missing" capacity (it's not actually missing!)
- Legal: Both measurements are correct, just different standards
Manufacturer: 500 × 1,000,000,000 = 500,000,000,000 Bytes
Windows shows: 500,000,000,000 ÷ 1,073,741,824 = 465.66 GB (binary)
Result: Windows shows 465.66 GB, not 500 GB
Both are correct! Just different measurement systems.
Complete Conversion Tables
Binary System (1024-based) - What Your OS Uses:
| Unit | Abbreviation | In Bytes | Calculation |
|---|---|---|---|
| Byte | B | 1 | Base unit |
| Kilobyte | KB | 1,024 | 2^10 |
| Megabyte | MB | 1,048,576 | 2^20 (1,024²) |
| Gigabyte | GB | 1,073,741,824 | 2^30 (1,024³) |
| Terabyte | TB | 1,099,511,627,776 | 2^40 (1,024⁴) |
| Petabyte | PB | 1,125,899,906,842,624 | 2^50 (1,024⁵) |
Decimal System (1000-based) - What Manufacturers Use:
| Unit | Abbreviation | In Bytes | Calculation |
|---|---|---|---|
| Byte | B | 1 | Base unit |
| Kilobyte | KB | 1,000 | 10^3 |
| Megabyte | MB | 1,000,000 | 10^6 (1,000²) |
| Gigabyte | GB | 1,000,000,000 | 10^9 (1,000³) |
| Terabyte | TB | 1,000,000,000,000 | 10^12 (1,000⁴) |
| Petabyte | PB | 1,000,000,000,000,000 | 10^15 (1,000⁵) |
IEC Standard Naming (KiB, MiB, GiB)
To resolve the binary vs decimal confusion, the International Electrotechnical Commission (IEC) introduced new names for binary units:
| Binary Unit | IEC Name | Symbol | Value (Bytes) |
|---|---|---|---|
| Kilobyte (binary) | Kibibyte | KiB | 1,024 |
| Megabyte (binary) | Mebibyte | MiB | 1,048,576 |
| Gigabyte (binary) | Gibibyte | GiB | 1,073,741,824 |
| Terabyte (binary) | Tebibyte | TiB | 1,099,511,627,776 |
| Petabyte (binary) | Pebibyte | PiB | 1,125,899,906,842,624 |
IEC Standard Adoption:
- Linux: Some distributions use KiB, MiB, GiB
- macOS: Switched to decimal (GB = 1,000 MB) in recent versions
- Windows: Still uses binary but labels it as KB, MB, GB (not KiB, MiB, GiB)
- Technical Documentation: Increasingly using IEC standard for clarity
Common File Sizes Reference
| Item | Typical Size | In Different Units |
|---|---|---|
| Text Character (ASCII) | 1 Byte | 8 bits |
| Email (text only) | 5-50 KB | 5,000-50,000 Bytes |
| Word Document (10 pages) | 50-200 KB | 0.05-0.2 MB |
| High-Quality Photo | 2-10 MB | 2,000-10,000 KB |
| MP3 Song (3 minutes) | 3-5 MB | 3,000-5,000 KB |
| FLAC Song (3 minutes) | 25-35 MB | 0.025-0.035 GB |
| HD Video (1 hour) | 2-4 GB | 2,000-4,000 MB |
| 4K Video (1 hour) | 8-15 GB | 8,000-15,000 MB |
| DVD Movie | 4.7 GB | 4,700 MB |
| Blu-ray Movie | 25-50 GB | 0.025-0.05 TB |
| PC Game (Modern) | 50-150 GB | 50,000-150,000 MB |
| Operating System | 20-30 GB | 20,000-30,000 MB |
Data Transfer Speed vs File Size
Understanding how long it takes to transfer files at different speeds:
| Connection | Speed | 1 GB Transfer Time | 10 GB Transfer Time |
|---|---|---|---|
| USB 2.0 | 480 Mbps (60 MB/s) | 17 seconds | 2.8 minutes |
| USB 3.0 | 5 Gbps (625 MB/s) | 1.6 seconds | 16 seconds |
| USB 3.1/3.2 | 10 Gbps (1.25 GB/s) | 0.8 seconds | 8 seconds |
| Gigabit Ethernet | 1 Gbps (125 MB/s) | 8 seconds | 1.3 minutes |
| WiFi 6 (802.11ax) | 9.6 Gbps (1.2 GB/s) | 0.8 seconds | 8.3 seconds |
| SATA SSD | 6 Gbps (600 MB/s) | 1.7 seconds | 17 seconds |
| NVMe SSD | 32 Gbps (4 GB/s) | 0.25 seconds | 2.5 seconds |
| Internet (100 Mbps) | 100 Mbps (12.5 MB/s) | 1.4 minutes | 13.7 minutes |
| Internet (1 Gbps Fiber) | 1 Gbps (125 MB/s) | 8 seconds | 1.3 minutes |
Storage Capacity Examples
- 4,000 high-quality photos (4 MB each)
- 3,200 MP3 songs (5 MB each)
- 4 HD movies (4 GB each)
- 8,000 Word documents (2 MB each)
1 TB External Hard Drive (binary):
- 250,000 photos
- 200,000 MP3 songs
- 250 HD movies
- 20 modern PC games (50 GB each)
256 GB iPhone Storage:
- 64,000 photos
- 51,200 songs
- 64 HD movies
- 100+ apps + system files
Conversion Formulas
Binary System (1024):
- Bytes to KB: Divide by 1,024
- KB to MB: Divide by 1,024
- MB to GB: Divide by 1,024
- GB to TB: Divide by 1,024
- TB to PB: Divide by 1,024
5,242,880 ÷ 1,024 = 5,120 KB
5,120 ÷ 1,024 = 5 MB
Or directly: 5,242,880 ÷ (1,024 × 1,024) = 5 MB
Decimal System (1000):
- Bytes to KB: Divide by 1,000
- KB to MB: Divide by 1,000
- MB to GB: Divide by 1,000
- GB to TB: Divide by 1,000
- TB to PB: Divide by 1,000
5,000,000 ÷ 1,000 = 5,000 KB
5,000 ÷ 1,000 = 5 MB
Or directly: 5,000,000 ÷ (1,000 × 1,000) = 5 MB
Frequently Asked Questions
Q: Why does my 500 GB hard drive show only 465 GB in Windows?
A: Manufacturers use decimal (1 GB = 1,000,000,000 bytes) while Windows uses binary (1 GB = 1,073,741,824 bytes). Your drive has 500,000,000,000 bytes, which Windows calculates as 465.66 GB. You're not losing storage—it's just different measurement systems. Additionally, some space is used for file system overhead and formatting.
Q: Which system should I use—binary or decimal?
A: Use binary (1024) for: OS calculations, RAM specifications, technical documentation, file system analysis. Use decimal (1000) for: Storage device specifications (matching manufacturer labels), network speeds, international standards. Both are correct—just different contexts!
Q: What's the difference between KB and KiB?
A: KB is ambiguous (could mean 1000 or 1024 bytes). KiB (Kibibyte) specifically means 1024 bytes (binary). The IEC standard created KiB, MiB, GiB to eliminate confusion, but Windows still uses KB, MB, GB for binary values. Context matters!
Q: How many GB is 1 TB?
A: Binary: 1 TB = 1,024 GB = 1,048,576 MB. Decimal: 1 TB = 1,000 GB = 1,000,000 MB. Your operating system (Windows/Mac/Linux) uses binary, so 1 TB = 1,024 GB in your file explorer.
Q: Why do storage manufacturers use decimal instead of binary?
A: Marketing and standards. Decimal makes drives appear larger (1 TB = 1,000 GB sounds better than 931 GB binary equivalent). Also, decimal aligns with SI (International System) standards used globally. It's legal and complies with international measurement standards.
Q: How do I calculate how many files fit on my drive?
A: Formula: Number of files = (Available storage in bytes) ÷ (File size in bytes). Example: 16 GB USB (binary) = 17,179,869,184 bytes. For 5 MB photos (5,242,880 bytes each): 17,179,869,184 ÷ 5,242,880 = 3,276 photos. Remember to account for file system overhead (~5-10%).
Q: What's bigger—1000 KB or 1 MB?
A: Depends on system! Binary: 1 MB = 1,024 KB, so 1000 KB < 1 MB. Decimal: 1 MB = 1,000 KB, so 1000 KB = 1 MB. In practice (Windows/Mac), 1000 KB is slightly less than 1 MB (1 MB = 1,024 KB).
Q: How much space does 1 million files take?
A: It depends on file size! 1 million 1KB files = ~1 GB. 1 million 1MB photos = ~1 TB. 1 million 100KB documents = ~100 GB. Also consider file system overhead—millions of small files use more space due to cluster allocation.
Q: Can I convert bits to bytes?
A: Yes! 8 bits = 1 byte. Internet speeds are in bits (Mbps = Megabits per second), while file sizes are in bytes (MB = Megabytes). To convert: 100 Mbps ÷ 8 = 12.5 MB/s. So a 100 Mbps connection downloads at ~12.5 MB per second.
Q: What's the largest file size unit?
A: Commonly used: Petabyte (PB). Beyond that: Exabyte (EB, 1024 PB), Zettabyte (ZB, 1024 EB), Yottabyte (YB, 1024 ZB). Google processes ~20 PB daily. Global internet traffic exceeds 1 ZB per year. Most users never encounter files beyond TB.
Fun Facts About File Sizes
- The entire Library of Congress contains about 20 Terabytes of text data
- A single human brain stores approximately 2.5 Petabytes of data
- Facebook stores over 300 Petabytes of user data
- The first 1 GB hard drive (1980) cost $40,000 and weighed 550 pounds
- Netflix streams over 1 Exabyte of data per month
- All words ever spoken by humans equal approximately 5 Exabytes of data
- The Large Hadron Collider generates 1 Petabyte of data per second during experiments
- A floppy disk held 1.44 MB—you'd need 694 floppy disks for 1 GB!
- The term "Byte" was coined in 1956 by Werner Buchholz at IBM
- Global data creation exceeded 64 Zettabytes in recent years and is growing exponentially
