Gib to MiB Converter

The Gibibit is a binary unit. It is defined as 1024^3 bits, which equals 1073741824 bits.

$1\,\mathrm{Gib} = 1,024^{3} \,\mathrm{bit} = 1,073,741,824\,\mathrm{bit}$

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.

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

One Gibibit is equal to 1073741824 bits, while one Mebibyte equals 8388608 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).

$\dfrac{ 1\,\mathrm{Gib} }{ 1\,\mathrm{MiB} } = \dfrac{ 1,073,741,824\,\mathrm{bit} }{ 8,388,608\,\mathrm{bit} } = \dfrac{ 1,073,741,824 }{ 8,388,608 }$

The fraction can be simplified by dividing both the numerator and denominator by 8,388,608, giving the exact conversion factor.

$\dfrac{ 1,073,741,824 }{ 8,388,608 } = \dfrac{ 1,073,741,824\div 8,388,608 }{ 8,388,608\div 8,388,608 } = \dfrac{ 128 }{ 1 }$

The exact factor is 128/1. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 128 }{ 1 } \approx 128$

The conversion factor from Gibibit (Gib) to Mebibyte (MiB) is 128. Therefore, any value in Gibibit can be converted to Mebibyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gib} = x\times 128\,\mathrm{MiB} }$

Multiply the number of Gibibits by 128 to obtain the equivalent value in Mebibytes.