Gib to kb Converter

The Gibibit is a binary unit. It is defined as 1024^3 bits, which equals 1073741824 bits.

$1\,\mathrm{Gib} = 1,024^{3} \,\mathrm{bit} = 1,073,741,824\,\mathrm{bit}$

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 Gibibit is equal to 1073741824 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).

$\dfrac{ 1\,\mathrm{Gib} }{ 1\,\mathrm{kb} } = \dfrac{ 1,073,741,824\,\mathrm{bit} }{ 1,000\,\mathrm{bit} } = \dfrac{ 1,073,741,824 }{ 1,000 }$

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

$\dfrac{ 1,073,741,824 }{ 1,000 } = \dfrac{ 1,073,741,824\div 8 }{ 1,000\div 8 } = \dfrac{ 134,217,728 }{ 125 }$

The exact factor is 134217728/125. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 134,217,728 }{ 125 } \approx 1073741.824$

The conversion factor from Gibibit (Gib) to Kilobit (kb) is 1073741.824. Therefore, any value in Gibibit can be converted to Kilobit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gib} = x\times 1073741.824\,\mathrm{kb} }$

Multiply the number of Gibibits by 1,073,741.824 to obtain the equivalent value in Kilobits.