Gb to Yb 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 Yottabit is a decimal unit. It is defined as 1000^8 bits, which equals 1000000000000000000000000 bits.

$1\,\mathrm{Yb} = 1,000^{8} \,\mathrm{bit} = 1,000,000,000,000,000,000,000,000\,\mathrm{bit}$

One Gigabit is equal to 1000000000 bits, while one Yottabit equals 1000000000000000000000000 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).

$\dfrac{ 1\,\mathrm{Gb} }{ 1\,\mathrm{Yb} } = \dfrac{ 1,000,000,000\,\mathrm{bit} }{ 1,000,000,000,000,000,000,000,000\,\mathrm{bit} } = \dfrac{ 1,000,000,000 }{ 1,000,000,000,000,000,000,000,000 }$

The fraction can be simplified by dividing both the numerator and denominator by 1,000,000,000, giving the exact conversion factor.

$\dfrac{ 1,000,000,000 }{ 1,000,000,000,000,000,000,000,000 } = \dfrac{ 1,000,000,000\div 1,000,000,000 }{ 1,000,000,000,000,000,000,000,000\div 1,000,000,000 } = \dfrac{ 1 }{ 1,000,000,000,000,000 }$

The exact factor is 1/1000000000000000. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1 }{ 1,000,000,000,000,000 } \approx 0.000000000000001$

The conversion factor from Gigabit (Gb) to Yottabit (Yb) is 0.000000000000001. Therefore, any value in Gigabit can be converted to Yottabit by multiplying it by this factor.

$\boxed{ x\,\mathrm{Gb} = x\times 0.000000000000001\,\mathrm{Yb} }$

Multiply the number of Gigabits by 0.000000000000001 to obtain the equivalent value in Yottabits.