File Size Calculation Formula & How to Use It
- File size
- GB
- Result
- Bitrate
- 320 kbps
- You entered
- Duration
- 10 min
- You entered
This calculator works out the size of a digital file from its bitrate and duration, and it also converts between bytes, kilobytes, megabytes, and gigabytes. You enter the bitrate (in kilobits per second) and the length of the media (in minutes), and you get the file size in megabytes and gigabytes. The formula is simple: file size (in bytes) = bitrate (in bits per second) × duration (in seconds) ÷ 8.
Formula
The core formula for file size is:
File size (bytes) = bitrate (bits per second) × duration (seconds) ÷ 8
Where:
- Bitrate – the number of bits used to represent one second of audio or video, measured in bits per second (bps). In the calculator above, you enter it in kilobits per second (kbps). 1 kbps = 1,000 bits per second.
- Duration – the total length of the media in seconds. The calculator accepts minutes and converts internally.
- 8 – the number of bits in a byte. This converts bits to bytes.
For the result in megabytes, divide the byte count by 1,048,576 (1024 × 1024). For gigabytes, divide by 1,073,741,824 (1024³). Note that storage manufacturers often use decimal (1 MB = 1,000,000 bytes), but most operating systems use binary (1 MB = 1,048,576 bytes). This calculator uses the binary definition, which is the standard for file sizes in Windows and macOS.
Worked Example
Let’s use the default values: bitrate = 320 kbps, duration = 10 minutes.
- Convert bitrate to bits per second: 320 kbps × 1000 = 320,000 bits per second.
- Convert duration to seconds: 10 minutes × 60 = 600 seconds.
- Multiply: 320,000 × 600 = 192,000,000 bits.
- Divide by 8 to get bytes: 192,000,000 ÷ 8 = 24,000,000 bytes.
- Convert to megabytes: 24,000,000 ÷ 1,048,576 ≈ 22.89 MB.
So a 10-minute audio file at 320 kbps is about 22.89 MB. The calculator gives 22.89 MB (and 0.022 GB), matching our manual calculation.
Why Bitrate Matters
Bitrate is the main driver of file size for streaming media. A higher bitrate means more data per second, which generally means better quality – but also a larger file. For example, a typical MP3 audio file might use 128 kbps, while a high-quality FLAC file might use 1,000 kbps (1 Mbps). Video bitrates are even higher: a 1080p video on YouTube often uses around 8,000 kbps (8 Mbps), while a 4K video can use 35,000 kbps or more.
When you know the bitrate and duration, you can predict the file size before encoding. This is useful for planning storage, estimating upload times, or checking whether a file will fit on a USB drive or memory card.
Common Mistakes and How to Avoid Them
- Mixing up bits and bytes: The most common error. Bitrate is usually given in bits per second (kbps or Mbps), but file size is in bytes (KB, MB, GB). Always divide by 8.
- Using decimal vs. binary units: Some programs report MB as 1,000,000 bytes, others as 1,048,576. This can cause a discrepancy of about 5%.
- Forgetting to convert minutes to seconds: The formula requires seconds, so multiply minutes by 60.
- Ignoring container overhead: The formula gives the raw data size. Actual files may be slightly larger due to metadata, headers, and container formats (like MP4 or MKV).
When to Use This Formula
Use this formula whenever you need to estimate the size of audio or video before recording or downloading. It’s also helpful for:
- Choosing a bitrate for your own recordings to balance quality and file size.
- Estimating how much storage you need for a project.
- Calculating how long it will take to upload a file given your internet speed.
The formula works for any digital data stream, but it’s most accurate for compressed formats where the bitrate is constant (like MP3 or AAC). For variable bitrate (VBR) files, the actual size can differ because the bitrate changes throughout the file.
Limitations of the Formula
This formula assumes a constant bitrate. Many modern codecs use variable bitrate, which adjusts the bitrate based on the complexity of the content. For example, a quiet talking-head video compresses better than a fast-action sports scene, so the actual file size may be smaller or larger than the estimate. The formula also ignores overhead from file containers, metadata, and error correction, which can add a small percentage to the final size.
For images and documents, the formula doesn’t apply directly because their size depends on resolution, compression, and content complexity – not a time-based bitrate.
Frequently Asked Questions
How do I calculate file size from bitrate and duration?
Multiply the bitrate (in bits per second) by the duration (in seconds), then divide by 8 to get bytes. To get megabytes, divide by 1,048,576.
What is the difference between kbps and KB/s?
kbps (kilobits per second) measures data rate in bits, while KB/s (kilobytes per second) measures in bytes. 1 KB/s = 8 kbps. Many download managers show speed in KB/s, while bitrates are given in kbps.
Why does my file size not match the calculation?
Possible reasons: the file uses variable bitrate, the container adds overhead, or the program uses decimal units (1 MB = 1,000,000 bytes) instead of binary. Also, some formats include padding or metadata that increases size.
Can I use this formula for video files?
Yes, for video files with a constant bitrate. For variable bitrate video, the estimate will be approximate. Video also has separate audio and video streams, so you need to add both bitrates together.
How much storage do I need for a 1-hour video at 10 Mbps?
10 Mbps = 10,000,000 bits per second. 1 hour = 3,600 seconds. Total bits = 36,000,000,000. Divide by 8 = 4,500,000,000 bytes ≈ 4.29 GB (binary). So you need about 4.3 GB of free space.
What is a good bitrate for MP3 audio?
For music, 128 kbps is acceptable for casual listening, 192 kbps is good, and 256–320 kbps is considered high quality. Higher bitrates increase file size, so choose based on your storage and listening needs.
Related
Formula used
in br | Bitrate | kbps | 320 | 0 in du | Duration | min | 10 | 0 out mb | File size | MB | (br * 1000 * du * 60) / (8 * 1024 * 1024) | 2 out gb | File size | GB | (br * 1000 * du * 60) / (8 * 1024 * 1024 * 1024) | 3
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard formula for this calculation, rounded as each result states. See how the calculators work or report an error.