MB to MiB Converter

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.

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

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.

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

One Megabyte is equal to 8000000 bits, while one Mebibyte equals 8388608 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).

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

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

$\dfrac{ 8,000,000 }{ 8,388,608 } = \dfrac{ 8,000,000\div 512 }{ 8,388,608\div 512 } = \dfrac{ 15,625 }{ 16,384 }$

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 Megabyte (MB) to Mebibyte (MiB) is 0.95367431640625. Therefore, any value in Megabyte can be converted to Mebibyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{MB} = x\times 0.95367431640625\,\mathrm{MiB} }$

Multiply the number of Megabytes by 0.95367431640625 to obtain the equivalent value in Mebibytes.