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Data Storage Converter

This is where the missing disk space went.

Convert Data Storage. This is where the missing disk space went. Exact where an exact definition exists.

Written and maintained by Mohit PatelLast checked August 4, 2026How we build these

Converted

1 gigabytes (10⁹ b)

8,000,000,000 bits · 1,000,000,000 bytes

Bits8,000,000,000
Bytes1,000,000,000
Kilobytes (1,000 B)1,000,000
Kibibytes (1,024 B)976,562.5
Megabytes (10⁶ B)1,000
Mebibytes (2²⁰ B)953.67431641
Gigabytes (10⁹ B)1
Gibibytes (2³⁰ B)0.93132257
Terabytes (10¹² B)0.001
Tebibytes (2⁴⁰ B)0.00090949

This is the source of the missing disk space. Manufacturers sell a terabyte as 10¹² bytes; operating systems have traditionally displayed 2⁴⁰ bytes and called it the same thing. The gap is about 9.95%, which is why a 1 TB drive reports as roughly 931 GB. The binary prefixes — kibi, mebi, gibi — exist to remove exactly this ambiguity. Every factor in this family is exact by international agreement rather than measured, so the only rounding is in the display.

How the Data Storage Converter works

Storage across decimal and binary units. Manufacturers sell a terabyte as 10¹² bytes and operating systems have traditionally shown 2⁴⁰ and called it the same thing — a 9.95% gap that explains the missing space.

Also known as: why is my hard drive smaller than advertised · gb to gib converter · megabytes to gigabytes · tb to gb conversion

Where the missing disk space went

Drive manufacturers sell in decimal: a terabyte is 10¹² bytes. Operating systems have traditionally displayed binary multiples — 2⁴⁰ bytes — while still calling the unit a gigabyte or terabyte.

The gap is about 9.95% at the terabyte scale, which is why a 1 TB drive reports as roughly 931 GB. The drive holds exactly what was advertised; the two systems are counting in different bases and using the same words.

The gap widens with each prefix. At the kilobyte level it is 2.4%; at the terabyte level nearly 10%; at the petabyte level over 12%. Larger drives look proportionally more short-changed for the same reason.

Why both systems exist

Computers address memory in powers of two, because an address bus of n bits reaches exactly 2ⁿ locations. Binary multiples were the natural way to describe memory and they are why RAM comes in 8, 16 and 32 GB.

Storage was sold in decimal because it is the ordinary meaning of the prefixes and because it produces larger numbers. Both reasons are real, and the second has not hurt its persistence.

The binary prefixes — kibi, mebi, gibi, tebi — were standardised in 1998 specifically to remove the ambiguity. Adoption has been partial: Linux and macOS use them or decimal consistently, and Windows still displays binary values with decimal names.

Bits, bytes and where each is used

Network speeds are quoted in bits per second and file sizes in bytes, which is a factor of eight. A 100 Mbps connection downloads at about 12.5 MB/s, and the difference surprises people constantly.

The convention comes from telecommunications, where signalling is inherently bit-based. It also produces larger numbers for marketing, which has helped it survive.

Streaming and storage figures are worth knowing roughly: a photograph is a few megabytes, an hour of music around 60, an hour of high-definition video several gigabytes. Video dominates consumer storage and bandwidth in essentially every context.

Where to go next

The Data Storage Converter question rarely arrives on its own. These are the ones that usually come with it:

Frequently asked questions

Why is my 1 TB drive only 931 GB?

Because the manufacturer sold 10¹² bytes and the operating system is displaying 2⁴⁰ bytes per unit while calling it GB. The drive holds exactly what was advertised; the two are counting differently.

What is the difference between GB and GiB?

A gigabyte is 10⁹ bytes; a gibibyte is 2³⁰, which is 1,073,741,824. The binary prefixes — kibi, mebi, gibi, tebi — exist specifically to remove this ambiguity.

Why do two different systems exist?

Computers address memory in powers of two, so binary multiples were natural. Storage was sold in decimal because it produces larger numbers. Both persist, and the standards body created the binary prefixes to separate them.

How many bits in a byte?

Eight, essentially universally now. Network speeds are quoted in bits per second and file sizes in bytes, which is why a 100 Mbps connection downloads at about 12.5 MB/s.

Why is RAM measured in binary units?

Because memory addressing is inherently binary — a 32-bit address bus reaches exactly 2³² locations. That is why RAM comes in 8, 16 and 32 GB rather than 10 or 20.

What comes after a terabyte?

Petabyte, exabyte, zettabyte, yottabyte, each a thousand times the last in decimal. The binary equivalents are pebi, exbi, zebi and yobi.

Why are network speeds in bits?

A convention from telecommunications, where signalling is inherently bit-based. It also produces larger numbers, which has not hurt its persistence in marketing.

How big is a typical file?

A photograph a few megabytes, an hour of music around 60, an hour of high-definition video several gigabytes. Video dominates storage in essentially every consumer context.

What is a nibble?

Four bits, half a byte — one hexadecimal digit. It is a genuine term and it appears mostly in low-level programming.

How much data does streaming use?

Roughly 1 GB an hour for standard definition and several times that for high definition or 4K. It is the reason data caps and streaming quality settings exist together.

What is compression ratio?

How much smaller a file becomes. Lossless compression typically manages two or three to one on text; lossy formats achieve far more by discarding information selectively.

Why do SSDs show less capacity than advertised?

The same decimal-versus-binary counting as hard drives, plus over-provisioning — spare blocks reserved for wear levelling that are not available to the user.

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