Gb to Eib 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 Exbibit is a binary unit. It is defined as 1024^6 bits, which equals 1152921504606846976 bits.

$1\,\mathrm{Eib} = 1,024^{6} \,\mathrm{bit} = 1,152,921,504,606,846,976\,\mathrm{bit}$

One Gigabit is equal to 1000000000 bits, while one Exbibit equals 1152921504606846976 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).

$\dfrac{ 1\,\mathrm{Gb} }{ 1\,\mathrm{Eib} } = \dfrac{ 1,000,000,000\,\mathrm{bit} }{ 1,152,921,504,606,846,976\,\mathrm{bit} } = \dfrac{ 1,000,000,000 }{ 1,152,921,504,606,846,976 }$

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

$\dfrac{ 1,000,000,000 }{ 1,152,921,504,606,846,976 } = \dfrac{ 1,000,000,000\div 512 }{ 1,152,921,504,606,846,976\div 512 } = \dfrac{ 1,953,125 }{ 2,251,799,813,685,248 }$

The exact factor is 1953125/2251799813685248. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,953,125 }{ 2,251,799,813,685,248 } \approx 0.000000000867361737988403547206$

The conversion factor from Gigabit (Gb) to Exbibit (Eib) is 0.000000000867361737988403547206. Therefore, any value in Gigabit can be converted to Exbibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 0.000000000867361737988403547206\,\mathrm{Eib} }$

Multiply the number of Gigabits by 0.000000000867361737988403547205962240695953369140625 to obtain the equivalent value in Exbibits.