Gb to Pib 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 Pebibit is a binary unit. It is defined as 1024^5 bits, which equals 1125899906842624 bits.

$1\,\mathrm{Pib} = 1,024^{5} \,\mathrm{bit} = 1,125,899,906,842,624\,\mathrm{bit}$

One Gigabit is equal to 1000000000 bits, while one Pebibit equals 1125899906842624 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).

$\dfrac{ 1\,\mathrm{Gb} }{ 1\,\mathrm{Pib} } = \dfrac{ 1,000,000,000\,\mathrm{bit} }{ 1,125,899,906,842,624\,\mathrm{bit} } = \dfrac{ 1,000,000,000 }{ 1,125,899,906,842,624 }$

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

$\dfrac{ 1,000,000,000 }{ 1,125,899,906,842,624 } = \dfrac{ 1,000,000,000\div 512 }{ 1,125,899,906,842,624\div 512 } = \dfrac{ 1,953,125 }{ 2,199,023,255,552 }$

The exact factor is 1953125/2199023255552. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,953,125 }{ 2,199,023,255,552 } \approx 0.000000888178419700125232338905$

The conversion factor from Gigabit (Gb) to Pebibit (Pib) is 0.000000888178419700125232338905. Therefore, any value in Gigabit can be converted to Pebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 0.000000888178419700125232338905\,\mathrm{Pib} }$

Multiply the number of Gigabits by 0.00000088817841970012523233890533447265625 to obtain the equivalent value in Pebibits.