Mib to Gb 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 Gigabit is a decimal unit. It is defined as 1000^3 bits, which equals 1000000000 bits.

$1\,\mathrm{Gb} = 1,000^{3} \,\mathrm{bit} = 1,000,000,000\,\mathrm{bit}$

One Mebibit is equal to 1048576 bits, while one Gigabit equals 1000000000 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).

$\dfrac{ 1\,\mathrm{Mib} }{ 1\,\mathrm{Gb} } = \dfrac{ 1,048,576\,\mathrm{bit} }{ 1,000,000,000\,\mathrm{bit} } = \dfrac{ 1,048,576 }{ 1,000,000,000 }$

The fraction can be simplified by dividing both the numerator and denominator by 512, giving the exact conversion factor.

$\dfrac{ 1,048,576 }{ 1,000,000,000 } = \dfrac{ 1,048,576\div 512 }{ 1,000,000,000\div 512 } = \dfrac{ 2,048 }{ 1,953,125 }$

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 Mebibit (Mib) to Gigabit (Gb) is 0.001048576. Therefore, any value in Mebibit can be converted to Gigabit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Mib} = x\times 0.001048576\,\mathrm{Gb} }$

Multiply the number of Mebibits by 0.001048576 to obtain the equivalent value in Gigabits.