Gibibits per hour to Tebibytes per hour conversion

How to convert gibibits per hour to tebibytes per hour?

Gibibits per hour (Gibit/h) and Tebibytes per hour (TiB/h) are units of data transfer rate. To convert from Gibibits per hour to Tebibytes per hour, you need to understand the relationship between Gibibits (Gibit) and Tebibytes (TiB).

Base 2

In the binary (base 2) system:

• 1 Gibibit (Gibit) = 2^30 bits = 1,073,741,824 bits
• 1 Tebibyte (TiB) = 2^40 bytes = 1,099,511,627,776 bytes
• 1 Byte = 8 bits, therefore 1 TiB = 8 * 1,099,511,627,776 bits = 8,796,093,022,208 bits

To determine how many Tebibytes are in 1 Gibibit: $\text{1 Gibit}$ $= \frac{1,073,741,824 \text{ bits}}{8,796,093,022,208 \text{ bits/TiB}}$ $= \frac{1,073,741,824}{8,796,093,022,208} \text{ TiB}$ $\approx 0.0001220703125 \text{ TiB}$

Now, since the conversion is for per hour: $\text{1 Gibit per hour} \approx 0.0001220703125 \text{ TiB per hour}$

Base 10

In the decimal (base 10) system:

• 1 Gigabit (Gb) = 10^9 bits = 1,000,000,000 bits
• 1 Terabyte (TB) = 10^12 bytes = 1,000,000,000,000 bytes
• 1 Byte = 8 bits, therefore 1 TB = 8 * 1,000,000,000,000 bits = 8,000,000,000,000 bits

To determine how many Terabytes are in 1 Gigabit: $\text{1 Gigabit}$ $= \frac{1,000,000,000 \text{ bits}}{8,000,000,000,000 \text{ bits/TB}}$ $= \frac{1,000,000,000}{8,000,000,000,000} \text{ TB}$ $= 0.000125 \text{ TB}$

Since we are talking about Gibibits and Tebibytes and not Gigabits and Terabytes, the base 10 system is not applicable here. For data storage, we generally use base 2 terminology.

Real-World Examples

1. Internet Speeds:

   • If an internet connection offers a speed of 128 Gibibits per hour, you can convert this to Tebibytes per hour: $128 \text{ Gibit/h} \times 0.0001220703125 \text{ TiB/h per Gibit/h} = 0.015625 \text{ TiB/h}$

2. Data Backup:

   • A backup service could read data at a rate of 256 Gibibits per hour. $256 \text{ Gibit/h} \times 0.0001220703125 \text{ TiB/h per Gibit/h} = 0.03125 \text{ TiB/h}$

3. Server Transfers:

   • A server might transfer data internally at a speed of 512 Gibibits per hour. $512 \text{ Gibit/h} \times 0.0001220703125 \text{ TiB/h per Gibit/h} = 0.0625 \text{ TiB/h}$

By converting these rates, you can get a better understanding of the actual data volume being handled in a more practical unit like Tebibytes per hour.