PiB to Gb Converter

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.

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

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

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

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

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

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

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

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

$\dfrac{ 17,592,186,044,416 }{ 1,953,125 } \approx 9007199.254740992$

The conversion factor from Pebibyte (PiB) to Gigabit (Gb) is 9007199.254740992. Therefore, any value in Pebibyte can be converted to Gigabit by multiplying it by this factor.

$\boxed{ x\,\mathrm{PiB} = x\times 9007199.254740992\,\mathrm{Gb} }$

Multiply the number of Pebibytes by 9,007,199.254740992 to obtain the equivalent value in Gigabits.