GiB to kb Converter

The Gibibyte is a binary unit. It is defined as 1024^3 bytes, which equals 1073741824 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{GiB} = 1,024^{3} \,\mathrm{B} \times 8\, = 8,589,934,592\,\mathrm{bit}$

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 Gibibyte is equal to 8589934592 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).

$\dfrac{ 1\,\mathrm{GiB} }{ 1\,\mathrm{kb} } = \dfrac{ 8,589,934,592\,\mathrm{bit} }{ 1,000\,\mathrm{bit} } = \dfrac{ 8,589,934,592 }{ 1,000 }$

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

$\dfrac{ 8,589,934,592 }{ 1,000 } = \dfrac{ 8,589,934,592\div 8 }{ 1,000\div 8 } = \dfrac{ 1,073,741,824 }{ 125 }$

The exact factor is 1073741824/125. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,073,741,824 }{ 125 } \approx 8589934.592$

The conversion factor from Gibibyte (GiB) to Kilobit (kb) is 8589934.592. Therefore, any value in Gibibyte can be converted to Kilobit by multiplying it by this factor.

$\boxed{ x\,\mathrm{GiB} = x\times 8589934.592\,\mathrm{kb} }$

Multiply the number of Gibibytes by 8,589,934.592 to obtain the equivalent value in Kilobits.