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 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 Gibibyte is equal to 8589934592 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).

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

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

$\dfrac{ 8,589,934,592 }{ 8,000 } = \dfrac{ 8,589,934,592\div 64 }{ 8,000\div 64 } = \dfrac{ 134,217,728 }{ 125 }$

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 Gibibyte (GiB) to Kilobyte (kB) is 1073741.824. Therefore, any value in Gibibyte can be converted to Kilobyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{GiB} = x\times 1073741.824\,\mathrm{kB} }$

Multiply the number of Gibibytes by 1,073,741.824 to obtain the equivalent value in Kilobytes.