Mib to MB 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 Megabyte is a decimal unit. It is defined as 1000^2 bytes, which equals 1000000 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{MB} = 1,000^{2} \,\mathrm{B} \times 8\, = 8,000,000\,\mathrm{bit}$

One Mebibit is equal to 1048576 bits, while one Megabyte equals 8000000 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).

$\dfrac{ 1\,\mathrm{Mib} }{ 1\,\mathrm{MB} } = \dfrac{ 1,048,576\,\mathrm{bit} }{ 8,000,000\,\mathrm{bit} } = \dfrac{ 1,048,576 }{ 8,000,000 }$

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

$\dfrac{ 1,048,576 }{ 8,000,000 } = \dfrac{ 1,048,576\div 512 }{ 8,000,000\div 512 } = \dfrac{ 2,048 }{ 15,625 }$

The exact factor is 2048/15625. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 2,048 }{ 15,625 } \approx 0.131072$

The conversion factor from Mebibit (Mib) to Megabyte (MB) is 0.131072. Therefore, any value in Mebibit can be converted to Megabyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{Mib} = x\times 0.131072\,\mathrm{MB} }$

Multiply the number of Mebibits by 0.131072 to obtain the equivalent value in Megabytes.