MB to GiB Calculator - Convert Megabytes to Gibibytes

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MB to GiB - Conversion Formula and Steps

Megabyte and Gibibyte are units of digital information used to measure storage capacity and data transfer rate. Megabyte is a decimal standard unit where as Gibibyte is binary. One Megabyte is equal to 1000^2 bytes. One Gibibyte is equal to 1024^3 bytes. There are 1,073.741824 Megabytes in one Gibibyte. - view the difference between both units

MB to GiB Converter Image
Source Data UnitTarget Data Unit
Megabyte (MB)
Equal to 1000^2 bytes
(Decimal Unit)
Gibibyte (GiB)
Equal to 1024^3 bytes
(Binary Unit)

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

GiB = MB x 10002 / 10243

Note : Here we are converting the units between different standards. The source unit Megabyte 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 1000^2, 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 Megabyte (MB) to Gibibyte (GiB).

  1. STEP 1 → Gibibyte = Megabyte x 10002 / 10243
  2. STEP 2 → Gibibyte = Megabyte x (1000x1000) / (1024x1024x1024)
  3. STEP 3 → Gibibyte = Megabyte x 1000000 / 1073741824
  4. STEP 4 → Gibibyte = Megabyte x 0.000931322574615478515625

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

  1. = 10 x 10002 / 10243
  2. = 10 x (1000x1000) / (1024x1024x1024)
  3. = 10 x 1000000 / 1073741824
  4. = 10 x 0.000931322574615478515625
  5. = 0.00931322574615478515625
  6. i.e. 10 MB is equal to 0.00931322574615478515625 GiB.

(Result rounded off to 40 decimal positions.)

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

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Conversion Units

Definition : Megabyte

A Megabyte (MB) is a unit of digital information that is equal to 1,000,000 bytes (or 8,000,000 bits) and commonly used to express the size of a file or the amount of memory used by a program. It is also used to express data transfer speeds and in the context of data storage and memory, the binary-based unit of mebibyte (MiB) is used instead.
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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.
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Excel Formula to convert from MB to GiB

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

1Megabyte (MB)Gibibyte (GiB) 
21=A2 * 0.000931322574615478515625 

Download - Excel Template for Megabyte 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 MB to GiB Conversion

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

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

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