Kib to kb Converter

The Kibibit is a binary unit. It is defined as 1024^1 bits, which equals 1024 bits.

$1\,\mathrm{Kib} = 1,024^{1} \,\mathrm{bit} = 1,024\,\mathrm{bit}$

The Kilobit is a decimal unit. It is defined as 1000^1 bits, which equals 1000 bits.

$1\,\mathrm{kb} = 1,000^{1} \,\mathrm{bit} = 1,000\,\mathrm{bit}$

One Kibibit is equal to 1024 bits, while one Kilobit equals 1000 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).

$\dfrac{ 1\,\mathrm{Kib} }{ 1\,\mathrm{kb} } = \dfrac{ 1,024\,\mathrm{bit} }{ 1,000\,\mathrm{bit} } = \dfrac{ 1,024 }{ 1,000 }$

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

$\dfrac{ 1,024 }{ 1,000 } = \dfrac{ 1,024\div 8 }{ 1,000\div 8 } = \dfrac{ 128 }{ 125 }$

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 Kibibit (Kib) to Kilobit (kb) is 1.024. Therefore, any value in Kibibit can be converted to Kilobit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Kib} = x\times 1.024\,\mathrm{kb} }$

Multiply the number of Kibibits by 1.024 to obtain the equivalent value in Kilobits.