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

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

One Gibibit is equal to 1073741824 bits, while one Kibibit equals 1024 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).

$\dfrac{ 1\,\mathrm{Gib} }{ 1\,\mathrm{Kib} } = \dfrac{ 1,073,741,824\,\mathrm{bit} }{ 1,024\,\mathrm{bit} } = \dfrac{ 1,073,741,824 }{ 1,024 }$

The fraction can be simplified by dividing both the numerator and denominator by 1,024, giving the exact conversion factor.

$\dfrac{ 1,073,741,824 }{ 1,024 } = \dfrac{ 1,073,741,824\div 1,024 }{ 1,024\div 1,024 } = \dfrac{ 1,048,576 }{ 1 }$

The exact factor is 1048576/1. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,048,576 }{ 1 } \approx 1048576$

The conversion factor from Gibibit (Gib) to Kibibit (Kib) is 1048576. Therefore, any value in Gibibit can be converted to Kibibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gib} = x\times 1048576\,\mathrm{Kib} }$

Multiply the number of Gibibits by 1,048,576 to obtain the equivalent value in Kibibits.