Gibibits per second to Tebibytes per hour conversion

How to convert gibibits per second to tebibytes per hour?

To convert from Gibibits per second (Gibps) to Tebibytes per hour (TiB/hr), we first need to understand the relationships between these units.

1 Gibibit (Gib) = 2^30 bits
1 Tebibyte (TiB) = 2^40 bytes
1 byte = 8 bits

Now, let's derive the conversion step by step using base 2:

Base 2 Conversion

1. Start with 1 Gibibits per second (Gibps).

2. Convert Gibibits to bits: 1 Gib = 2^30 bits => 1 Gibps = 2^30 bits per second

3. Convert bits to bytes: => 1 Gibps = 2^30 / 8 bytes per second => 1 Gibps = 2^27 bytes per second (since 2^30 / 2^3 = 2^27)

4. Convert bytes to Tebibytes: => 1 Gibps = 2^27 / 2^40 Tebibytes per second => 1 Gibps = 2^-13 Tebibytes per second (since 2^27 / 2^40 = 2^-13)

5. Convert Tebibytes per second to Tebibytes per hour: => 2^-13 Tebibytes per second * 3600 seconds per hour => 2^-13 * 3600 Tebibytes per hour

6. Simplify the multiplicative factor: => 2^-13 * 3600 = 3600 / 2^13 Tebibytes => 3600 / 8192 Tebibytes => ≈ 0.43945 Tebibytes per hour

Therefore, 1 Gibibit per second is approximately 0.43945 Tebibytes per hour in base 2.

Base 10 Conversion

1. Start with 1 Gibibits per second (Gibps).

2. Convert to bits and then to bytes as in the base 2 conversion: => 1 Gibps = 2^30 / 8 bytes per second => 1 Gibps = 2^27 bytes per second

3. Convert bits to Tebibytes, but using base 10 values: 1 Gigabyte (GB) = 10^9 bytes 1 Terabyte (TB) = 10^12 bytes

4. Convert bytes to Terabytes: => 1 Gibps = 2^27 / 10^12 Terabytes per second => 1 Gibps = 134217728 / 10^12 Terabytes => 1 Gibps = 0.000134217728 Terabytes per second

5. Convert Terabytes per second to Terabytes per hour: => 0.000134217728 Terabytes per second * 3600 seconds per hour => 0.4832 Terabytes per hour

Therefore, 1 Gibibit per second is approximately 0.4832 Terabytes per hour in base 10.

Real-world Examples for Different Quantities

1. 10 Gibibits per second:

   • Base 2: 10 * 0.43945 ≈ 4.3945 Tebibytes per hour
   • Base 10: 10 * 0.4832 ≈ 4.832 Terabytes per hour

2. 100 Gibibits per second:

   • Base 2: 100 * 0.43945 ≈ 43.945 Tebibytes per hour
   • Base 10: 100 * 0.4832 ≈ 48.32 Terabytes per hour

3. 1,000 Gibibits per second:

   • Base 2: 1000 * 0.43945 ≈ 439.45 Tebibytes per hour
   • Base 10: 1000 * 0.4832 ≈ 483.2 Terabytes per hour

These examples illustrate how significant data transfer rates, represented as Gibibits per second, can be translated into storage volumes over a period of time, applicable in various technologies such as network switches, data centers, and high-speed internet backbones.