Gigabyte to Gibibyte - 128 GB to GiB Conversion

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GB
 
RESULT Convert to multiple Units
128 GB = 119.20928955078125 GiB
Calculated as → 128 x 10003 / 10243... - view detailed steps

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GB to GiB Formula and Manual Conversion Steps

Gigabyte and Gibibyte are units of digital information used to measure storage capacity and data transfer rate. Gigabyte is a decimal standard unit where as Gibibyte is binary. One Gigabyte is equal to 1000^3 bytes. One Gibibyte is equal to 1024^3 bytes. There are 1.073741824 Gigabytes in one Gibibyte.

GB to GiB Converter | Data Unit Converter
Source Data UnitTarget Data Unit
Gigabyte (GB)
Equal to 1000^3 bytes
(Decimal Unit)
Gibibyte (GiB)
Equal to 1024^3 bytes
(Binary Unit)

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

GiB = GB x 10003 / 10243

Note : Here we are converting the units between different standards. The source unit Gigabyte 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 1000^3, and then convert to target unit by dividing with 1024^3 .

Now let us apply the above formula and see how to manually convert Gigabyte (GB) to Gibibyte (GiB). We can further simplify the formula to ease the calculation.

FORMULA

Gibibyte = Gigabyte x 10003 / 10243

STEP 1

Gibibyte = Gigabyte x (1000x1000x1000) / (1024x1024x1024)

STEP 2

Gibibyte = Gigabyte x 1000000000 / 1073741824

STEP 3

Gibibyte = Gigabyte x 0.931322574615478515625

If we apply the above Formula and steps, conversion from 128 GB to GiB, will be processed as below.

  1. = 128 x 10003 / 10243
  2. = 128 x (1000x1000x1000) / (1024x1024x1024)
  3. = 128 x 1000000000 / 1073741824
  4. = 128 x 0.931322574615478515625
  5. = 119.20928955078125
  6. i.e. 128 GB is equal to 119.20928955078125 GiB.

(Result rounded off to 40 decimal positions.)

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Conversion Units

Definition : Gigabyte

A Gigabyte (GB) is a decimal unit of digital information that is equal to 1,000,000,000 bytes (or 8,000,000,000 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 Gibibyte (GiB) is used instead.
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Definition : Gibibyte

A Gibibyte (GiB) is a binary 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.
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Excel Formula to convert from GB to GiB

Apply the formula as shown below to convert from 128 Gigabyte to Gibibyte.

 ABC
1Gigabyte (GB)Gibibyte (GiB) 
2128=A2 * 0.931322574615478515625 
3   

Download - Excel Template for Gigabyte to Gibibyte Conversion

If you want to perform bulk conversion locally in your system, then download and make use of above Excel template.

Python Code for GB to GiB Conversion

You can use below code to convert any value in Gigabyte to Gibibyte in Python.

gigabyte = int(input("Enter Gigabyte: "))
gibibyte = gigabyte * (1000*1000*1000) / (1024*1024*1024)
print("{} Gigabyte = {} Gibibyte".format(gigabyte,gibibyte))

The first line of code will prompt the user to enter the Gigabyte as an input. The value of Gibibyte is calculated on the next line, and the code in third line will display the result.