# TB to GiB Calculator - Convert Terabytes to Gibibytes ## Conversion History (Last 6)

Input Terabyte - and press Enter
TB

## TB to GiB - Conversion Formula and Steps

Terabyte and Gibibyte are units of digital information used to measure storage capacity and data transfer rate. Terabyte is a decimal standard unit where as Gibibyte is binary. One Terabyte is equal to 1000^4 bytes. One Gibibyte is equal to 1024^3 bytes. There are 0.001073741824 Terabytes in one Gibibyte. - view the difference between both units Source Data UnitTarget Data Unit
Terabyte (TB)
Equal to 1000^4 bytes
(Decimal Unit)
Gibibyte (GiB)
Equal to 1024^3 bytes
(Binary Unit)

The formula of converting the Terabyte to Gibibyte is represented as follows :

GiB = TB x 10004 / 10243

Note : Here we are converting the units between different standards. The source unit Terabyte is Decimal where as the target unit Gibibyte is Binary. In such scenario, first we need to convert the source unit to the basic unit - Byte - multiply with 1000^4, and then convert to target unit by dividing with 1024^3 .

Now let us apply the above formula and, write down the steps to convert from Terabyte (TB) to Gibibyte (GiB). This way, we can try to simplify and reduce to an easy to apply formula.

FORMULA

Gibibyte = Terabyte x 10004 / 10243

STEP 1

Gibibyte = Terabyte x (1000x1000x1000x1000) / (1024x1024x1024)

STEP 2

Gibibyte = Terabyte x 1000000000000 / 1073741824

STEP 3

Gibibyte = Terabyte x 931.322574615478515625

Example : If we apply the above Formula and steps, conversion from 10 TB to GiB, will be processed as below.

1. = 10 x 10004 / 10243
2. = 10 x (1000x1000x1000x1000) / (1024x1024x1024)
3. = 10 x 1000000000000 / 1073741824
4. = 10 x 931.322574615478515625
5. = 9313.22574615478515625
6. i.e. 10 TB is equal to 9,313.22574615478515625 GiB.

(Result rounded off to 40 decimal positions.)

You can use above formula and steps to convert Terabyte to Gibibyte using any of the programming language such as Java, Python or Powershell.

#### Definition : Terabyte

A Terabyte (TB) is a unit of digital information that is equal to 1,000,000,000,000 bytes (or 8,000,000,000,000 bits) and commonly used to measure the storage capacity of computer hard drives, flash drives, and other digital storage devices. It is also used to express data transfer speeds and in the context of data storage and memory, the binary-based unit of Tebibyte (TiB) is used instead.

#### Definition : Gibibyte

A Gibibyte (GiB) is a unit of digital information that is equal to 1,073,741,824 bytes (or 8,589,934,592 bits) and is defined by the International Electro technical Commission(IEC). The prefix "gibi" is derived from the binary number system and it is used to distinguish it from the decimal-based "gigabyte" (GB). It is widely used in the field of computing as it more accurately represents the amount of data storage and data transfer in computer systems.

### Excel Formula to convert from TB to GiB

Apply the formula as shown below to convert from Terabyte to Gibibyte.

ABC
1Terabyte (TB)Gibibyte (GiB)
21=A2 * 931.322574615478515625
3