GiB to Tb Converter

The Gibibyte is a binary unit. It is defined as 1024^3 bytes, which equals 1073741824 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{GiB} = 1,024^{3} \,\mathrm{B} \times 8\, = 8,589,934,592\,\mathrm{bit}$

The Terabit is a decimal unit. It is defined as 1000^4 bits, which equals 1000000000000 bits.

$1\,\mathrm{Tb} = 1,000^{4} \,\mathrm{bit} = 1,000,000,000,000\,\mathrm{bit}$

One Gibibyte is equal to 8589934592 bits, while one Terabit equals 1000000000000 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).

$\dfrac{ 1\,\mathrm{GiB} }{ 1\,\mathrm{Tb} } = \dfrac{ 8,589,934,592\,\mathrm{bit} }{ 1,000,000,000,000\,\mathrm{bit} } = \dfrac{ 8,589,934,592 }{ 1,000,000,000,000 }$

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

$\dfrac{ 8,589,934,592 }{ 1,000,000,000,000 } = \dfrac{ 8,589,934,592\div 4,096 }{ 1,000,000,000,000\div 4,096 } = \dfrac{ 2,097,152 }{ 244,140,625 }$

The exact factor is 2097152/244140625. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 2,097,152 }{ 244,140,625 } \approx 0.008589934592$

The conversion factor from Gibibyte (GiB) to Terabit (Tb) is 0.008589934592. Therefore, any value in Gibibyte can be converted to Terabit by multiplying it by this factor.

$\boxed{ x\,\mathrm{GiB} = x\times 0.008589934592\,\mathrm{Tb} }$

Multiply the number of Gibibytes by 0.008589934592 to obtain the equivalent value in Terabits.