GiB to Mib Converter

The Gibibyte is a binary unit. It is defined as 1024^3 bytes, which equals 1073741824 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{GiB} = 1,024^{3} \,\mathrm{B} \times 8\, = 8,589,934,592\,\mathrm{bit}$

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

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

One Gibibyte is equal to 8589934592 bits, while one Mebibit equals 1048576 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).

$\dfrac{ 1\,\mathrm{GiB} }{ 1\,\mathrm{Mib} } = \dfrac{ 8,589,934,592\,\mathrm{bit} }{ 1,048,576\,\mathrm{bit} } = \dfrac{ 8,589,934,592 }{ 1,048,576 }$

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

$\dfrac{ 8,589,934,592 }{ 1,048,576 } = \dfrac{ 8,589,934,592\div 1,048,576 }{ 1,048,576\div 1,048,576 } = \dfrac{ 8,192 }{ 1 }$

The exact factor is 8192/1. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 8,192 }{ 1 } \approx 8192$

The conversion factor from Gibibyte (GiB) to Mebibit (Mib) is 8192. Therefore, any value in Gibibyte can be converted to Mebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{GiB} = x\times 8192\,\mathrm{Mib} }$

Multiply the number of Gibibytes by 8,192 to obtain the equivalent value in Mebibits.