MiB to GB Converter

The Mebibyte is a binary unit. It is defined as 1024^2 bytes, which equals 1048576 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{MiB} = 1,024^{2} \,\mathrm{B} \times 8\, = 8,388,608\,\mathrm{bit}$

The Gigabyte is a decimal unit. It is defined as 1000^3 bytes, which equals 1000000000 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{GB} = 1,000^{3} \,\mathrm{B} \times 8\, = 8,000,000,000\,\mathrm{bit}$

One Mebibyte is equal to 8388608 bits, while one Gigabyte equals 8000000000 bits. The conversion factor is obtained by dividing the value of 1 source unit (in bits) by the value of 1 target unit (in bits).

$\dfrac{ 1\,\mathrm{MiB} }{ 1\,\mathrm{GB} } = \dfrac{ 8,388,608\,\mathrm{bit} }{ 8,000,000,000\,\mathrm{bit} } = \dfrac{ 8,388,608 }{ 8,000,000,000 }$

The fraction can be simplified by dividing both the numerator and denominator by 4,096, giving the exact conversion factor.

$\dfrac{ 8,388,608 }{ 8,000,000,000 } = \dfrac{ 8,388,608\div 4,096 }{ 8,000,000,000\div 4,096 } = \dfrac{ 2,048 }{ 1,953,125 }$

The exact factor is 2048/1953125. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 2,048 }{ 1,953,125 } \approx 0.001048576$

The conversion factor from Mebibyte (MiB) to Gigabyte (GB) is 0.001048576. Therefore, any value in Mebibyte can be converted to Gigabyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{MiB} = x\times 0.001048576\,\mathrm{GB} }$

Multiply the number of Mebibytes by 0.001048576 to obtain the equivalent value in Gigabytes.