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

$1\,\mathrm{KiB} = 1,024^{1} \,\mathrm{B} \times 8\, = 8,192\,\mathrm{bit}$

One Gibibyte is equal to 8589934592 bits, while one Kibibyte equals 8192 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).

$\dfrac{ 1\,\mathrm{GiB} }{ 1\,\mathrm{KiB} } = \dfrac{ 8,589,934,592\,\mathrm{bit} }{ 8,192\,\mathrm{bit} } = \dfrac{ 8,589,934,592 }{ 8,192 }$

The fraction can be simplified by dividing both the numerator and denominator by 8,192, giving the exact conversion factor.

$\dfrac{ 8,589,934,592 }{ 8,192 } = \dfrac{ 8,589,934,592\div 8,192 }{ 8,192\div 8,192 } = \dfrac{ 1,048,576 }{ 1 }$

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 Gibibyte (GiB) to Kibibyte (KiB) is 1048576. Therefore, any value in Gibibyte can be converted to Kibibyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{GiB} = x\times 1048576\,\mathrm{KiB} }$

Multiply the number of Gibibytes by 1,048,576 to obtain the equivalent value in Kibibytes.