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 Pebibyte is a binary unit. It is defined as 1024^5 bytes, which equals 1125899906842624 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{PiB} = 1,024^{5} \,\mathrm{B} \times 8\, = 9,007,199,254,740,992\,\mathrm{bit}$

One Gigabit is equal to 1000000000 bits, while one Pebibyte equals 9007199254740992 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).

$\dfrac{ 1\,\mathrm{Gb} }{ 1\,\mathrm{PiB} } = \dfrac{ 1,000,000,000\,\mathrm{bit} }{ 9,007,199,254,740,992\,\mathrm{bit} } = \dfrac{ 1,000,000,000 }{ 9,007,199,254,740,992 }$

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

$\dfrac{ 1,000,000,000 }{ 9,007,199,254,740,992 } = \dfrac{ 1,000,000,000\div 512 }{ 9,007,199,254,740,992\div 512 } = \dfrac{ 1,953,125 }{ 17,592,186,044,416 }$

The exact factor is 1953125/17592186044416. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,953,125 }{ 17,592,186,044,416 } \approx 0.000000111022302462515654042363$

The conversion factor from Gigabit (Gb) to Pebibyte (PiB) is 0.000000111022302462515654042363. Therefore, any value in Gigabit can be converted to Pebibyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 0.000000111022302462515654042363\,\mathrm{PiB} }$

Multiply the number of Gigabits by 0.00000011102230246251565404236316680908203125 to obtain the equivalent value in Pebibytes.