MiB to KiB 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 Kibibyte is a binary unit. It is defined as 1024^1 bytes, which equals 1024 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{KiB} = 1,024^{1} \,\mathrm{B} \times 8\, = 8,192\,\mathrm{bit}$

One Mebibyte is equal to 8388608 bits, while one Kibibyte equals 8192 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).

$\dfrac{ 1\,\mathrm{MiB} }{ 1\,\mathrm{KiB} } = \dfrac{ 8,388,608\,\mathrm{bit} }{ 8,192\,\mathrm{bit} } = \dfrac{ 8,388,608 }{ 8,192 }$

The fraction can be simplified by dividing both the numerator and denominator by 8,192, giving the exact conversion factor.

$\dfrac{ 8,388,608 }{ 8,192 } = \dfrac{ 8,388,608\div 8,192 }{ 8,192\div 8,192 } = \dfrac{ 1,024 }{ 1 }$

The exact factor is 1024/1. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,024 }{ 1 } \approx 1024$

The conversion factor from Mebibyte (MiB) to Kibibyte (KiB) is 1024. Therefore, any value in Mebibyte can be converted to Kibibyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{MiB} = x\times 1024\,\mathrm{KiB} }$

Multiply the number of Mebibytes by 1,024 to obtain the equivalent value in Kibibytes.