Gb to Gib Converter

The Gigabit is a decimal unit. It is defined as 1000^3 bits, which equals 1000000000 bits.

$1\,\mathrm{Gb} = 1,000^{3} \,\mathrm{bit} = 1,000,000,000\,\mathrm{bit}$

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

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

One Gigabit is equal to 1000000000 bits, while one Gibibit equals 1073741824 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).

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

The fraction can be simplified by dividing both the numerator and denominator by 512, giving the exact conversion factor.

$\dfrac{ 1,000,000,000 }{ 1,073,741,824 } = \dfrac{ 1,000,000,000\div 512 }{ 1,073,741,824\div 512 } = \dfrac{ 1,953,125 }{ 2,097,152 }$

The exact factor is 1953125/2097152. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,953,125 }{ 2,097,152 } \approx 0.931322574615478515625$

The conversion factor from Gigabit (Gb) to Gibibit (Gib) is 0.931322574615478515625. Therefore, any value in Gigabit can be converted to Gibibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 0.931322574615478515625\,\mathrm{Gib} }$

Multiply the number of Gigabits by 0.931322574615478515625 to obtain the equivalent value in Gibibits.