GB to Pib Converter

The Gigabyte is a decimal unit. It is defined as 1000^3 bytes, which equals 1000000000 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{GB} = 1,000^{3} \,\mathrm{B} \times 8\, = 8,000,000,000\,\mathrm{bit}$

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 Gigabyte is equal to 8000000000 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).

$\dfrac{ 1\,\mathrm{GB} }{ 1\,\mathrm{Pib} } = \dfrac{ 8,000,000,000\,\mathrm{bit} }{ 1,125,899,906,842,624\,\mathrm{bit} } = \dfrac{ 8,000,000,000 }{ 1,125,899,906,842,624 }$

The fraction can be simplified by dividing both the numerator and denominator by 4,096, giving the exact conversion factor.

$\dfrac{ 8,000,000,000 }{ 1,125,899,906,842,624 } = \dfrac{ 8,000,000,000\div 4,096 }{ 1,125,899,906,842,624\div 4,096 } = \dfrac{ 1,953,125 }{ 274,877,906,944 }$

The exact factor is 1953125/274877906944. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,953,125 }{ 274,877,906,944 } \approx 0.000007105427357601001858711243$

The conversion factor from Gigabyte (GB) to Pebibit (Pib) is 0.000007105427357601001858711243. Therefore, any value in Gigabyte can be converted to Pebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{GB} = x\times 0.000007105427357601001858711243\,\mathrm{Pib} }$

Multiply the number of Gigabytes by 0.00000710542735760100185871124267578125 to obtain the equivalent value in Pebibits.