Gb to Tib 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 Tebibit is a binary unit. It is defined as 1024^4 bits, which equals 1099511627776 bits.

$1\,\mathrm{Tib} = 1,024^{4} \,\mathrm{bit} = 1,099,511,627,776\,\mathrm{bit}$

One Gigabit is equal to 1000000000 bits, while one Tebibit equals 1099511627776 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).

$\dfrac{ 1\,\mathrm{Gb} }{ 1\,\mathrm{Tib} } = \dfrac{ 1,000,000,000\,\mathrm{bit} }{ 1,099,511,627,776\,\mathrm{bit} } = \dfrac{ 1,000,000,000 }{ 1,099,511,627,776 }$

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

$\dfrac{ 1,000,000,000 }{ 1,099,511,627,776 } = \dfrac{ 1,000,000,000\div 512 }{ 1,099,511,627,776\div 512 } = \dfrac{ 1,953,125 }{ 2,147,483,648 }$

The exact factor is 1953125/2147483648. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1,953,125 }{ 2,147,483,648 } \approx 0.000909494701772928237915039063$

The conversion factor from Gigabit (Gb) to Tebibit (Tib) is 0.000909494701772928237915039063. Therefore, any value in Gigabit can be converted to Tebibit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 0.000909494701772928237915039063\,\mathrm{Tib} }$

Multiply the number of Gigabits by 0.0009094947017729282379150390625 to obtain the equivalent value in Tebibits.