Mb to Mib Converter

The Megabit is a decimal unit. It is defined as 1000^2 bits, which equals 1000000 bits.

$1\,\mathrm{Mb} = 1,000^{2} \,\mathrm{bit} = 1,000,000\,\mathrm{bit}$

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 Megabit is equal to 1000000 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).

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

The fraction can be simplified by dividing both the numerator and denominator by 64, giving the exact conversion factor.

$\dfrac{ 1,000,000 }{ 1,048,576 } = \dfrac{ 1,000,000\div 64 }{ 1,048,576\div 64 } = \dfrac{ 15,625 }{ 16,384 }$

The exact factor is 15625/16384. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 15,625 }{ 16,384 } \approx 0.95367431640625$

The conversion factor from Megabit (Mb) to Mebibit (Mib) is 0.95367431640625. Therefore, any value in Megabit can be converted to Mebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Mb} = x\times 0.95367431640625\,\mathrm{Mib} }$

Multiply the number of Megabits by 0.95367431640625 to obtain the equivalent value in Mebibits.