kB to Mib Converter

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

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

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 Kilobyte is equal to 8000 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).

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

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

$\dfrac{ 8,000 }{ 1,048,576 } = \dfrac{ 8,000\div 64 }{ 1,048,576\div 64 } = \dfrac{ 125 }{ 16,384 }$

The exact factor is 125/16384. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 125 }{ 16,384 } \approx 0.00762939453125$

The conversion factor from Kilobyte (kB) to Mebibit (Mib) is 0.00762939453125. Therefore, any value in Kilobyte can be converted to Mebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{kB} = x\times 0.00762939453125\,\mathrm{Mib} }$

Multiply the number of Kilobytes by 0.00762939453125 to obtain the equivalent value in Mebibits.