Gb to Mib Converter

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

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

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 Gigabit is equal to 1000000000 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).

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

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

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

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

$\dfrac{ 1,953,125 }{ 2,048 } \approx 953.67431640625$

The conversion factor from Gigabit (Gb) to Mebibit (Mib) is 953.67431640625. Therefore, any value in Gigabit can be converted to Mebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 953.67431640625\,\mathrm{Mib} }$

Multiply the number of Gigabits by 953.67431640625 to obtain the equivalent value in Mebibits.