KiB to kB Converter

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.

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

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.

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

One Kibibyte is equal to 8192 bits, while one Kilobyte equals 8000 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).

$\dfrac{ 1\,\mathrm{KiB} }{ 1\,\mathrm{kB} } = \dfrac{ 8,192\,\mathrm{bit} }{ 8,000\,\mathrm{bit} } = \dfrac{ 8,192 }{ 8,000 }$

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

$\dfrac{ 8,192 }{ 8,000 } = \dfrac{ 8,192\div 64 }{ 8,000\div 64 } = \dfrac{ 128 }{ 125 }$

The exact factor is 128/125. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 128 }{ 125 } \approx 1.024$

The conversion factor from Kibibyte (KiB) to Kilobyte (kB) is 1.024. Therefore, any value in Kibibyte can be converted to Kilobyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{KiB} = x\times 1.024\,\mathrm{kB} }$

Multiply the number of Kibibytes by 1.024 to obtain the equivalent value in Kilobytes.