Mib to Gib Converter

The Mebibit is a binary unit. It is defined as 1024^2 bits, which equals 1048576 bits.

$1\,\mathrm{Mib} = 1,024^{2} \,\mathrm{bit} = 1,048,576\,\mathrm{bit}$

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

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

One Mebibit is equal to 1048576 bits, while one Gibibit equals 1073741824 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).

$\dfrac{ 1\,\mathrm{Mib} }{ 1\,\mathrm{Gib} } = \dfrac{ 1,048,576\,\mathrm{bit} }{ 1,073,741,824\,\mathrm{bit} } = \dfrac{ 1,048,576 }{ 1,073,741,824 }$

The fraction can be simplified by dividing both the numerator and denominator by 1,048,576, giving the exact conversion factor.

$\dfrac{ 1,048,576 }{ 1,073,741,824 } = \dfrac{ 1,048,576\div 1,048,576 }{ 1,073,741,824\div 1,048,576 } = \dfrac{ 1 }{ 1,024 }$

The exact factor is 1/1024. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1 }{ 1,024 } \approx 0.0009765625$

The conversion factor from Mebibit (Mib) to Gibibit (Gib) is 0.0009765625. Therefore, any value in Mebibit can be converted to Gibibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Mib} = x\times 0.0009765625\,\mathrm{Gib} }$

Multiply the number of Mebibits by 0.0009765625 to obtain the equivalent value in Gibibits.