MiB to Gb Converter

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.

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

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 Mebibyte is equal to 8388608 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).

$\dfrac{ 1\,\mathrm{MiB} }{ 1\,\mathrm{Gb} } = \dfrac{ 8,388,608\,\mathrm{bit} }{ 1,000,000,000\,\mathrm{bit} } = \dfrac{ 8,388,608 }{ 1,000,000,000 }$

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

$\dfrac{ 8,388,608 }{ 1,000,000,000 } = \dfrac{ 8,388,608\div 512 }{ 1,000,000,000\div 512 } = \dfrac{ 16,384 }{ 1,953,125 }$

The exact factor is 16384/1953125. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 16,384 }{ 1,953,125 } \approx 0.008388608$

The conversion factor from Mebibyte (MiB) to Gigabit (Gb) is 0.008388608. Therefore, any value in Mebibyte can be converted to Gigabit by multiplying it by this factor.

$\boxed{ x\,\mathrm{MiB} = x\times 0.008388608\,\mathrm{Gb} }$

Multiply the number of Mebibytes by 0.008388608 to obtain the equivalent value in Gigabits.