Terabytes per hour to Gibibits per hour conversion

How to convert terabytes per hour to gibibits per hour?

To convert terabytes per hour (TB/h) to gibibits per hour (Gib/h), you need to understand the difference between base 10 and base 2 units.

• Base 10 (Decimal system):

  • 1 Terabyte (TB) = 10^12 bytes
  • 1 byte = 8 bits
  • Therefore, 1 Terabyte = 10^12 * 8 bits = 8 × 10^12 bits

• Base 2 (Binary system):

  • 1 Gibibyte (GiB) = 2^30 bytes
  • 1 Gibibit (Gib) = 2^30 bits (since 1 byte = 8 bits in base 2 units is for comparison with base 10)
  • 1 byte = 8 bits
  • Therefore, 1 Gibibyte = 2^30 * 8 bits = 8 × 2^30 bits

1. Base 10 Calculation:

   • 1 Terabyte per hour (TB/h) = 8 × 10^12 bits per hour

   • 1 Gibibit = 2^30 bits, so

     1 Gibibit = 1 Gibibit/(1×2^30 bits)

     $\frac{8 \times 10^{12} \text{ bits}}{\text{hour}} \times \frac{1 \text{ Gibibit}}{2^{30} \text{ bits}} = \frac{8 \times 10^{12}}{2^{30}}$

   • Simplifying:

     $\frac{8 \times 10^{12}}{1073741824} \approx 7450.58 \text{ Gibibit per hour (Gib/h)}$

2. Base 2 Calculation:

   • 1 Terabyte (TB) in base 2 is equal to 2^40 bytes (a Tebibyte)

   • 1 Tebibyte (TiB) = 2^40 bytes = 2^40 * 8 bits = 8 × 2^40 bits

   • 1 Gibibit = 2^30 bits

     $\frac{8 \times 2^{40} \text{ bits}}{\text{hour}} \times \frac{1 \text{ Gibibit}}{2^{30} \text{ bits}} = \frac{8 \times 2^{40}}{2^{30}}$

   • Simplifying:

     $\frac{8 \times 2^{40}}{2^{30}} = 8 \times 2^{10} = 8 \times 1024 = 8192 \text{ Gibibit per hour (Gib/h)}$

So, in summary:

• In base 10: 1 Terabyte per hour ≈ 7450.58 Gibibit per hour
• In base 2: 1 Terabyte per hour = 8192 Gibibit per hour

Real World Examples for Other Quantities

1. 5 Terabytes per hour in Base 10:

   • (5 TB/h) * 7450.58 (Gib/h) conversion factor
   • 5 TB/h ≈ 37252.9 Gibibits per hour (Base 10)

2. 2 Terabytes per hour in Base 2:

   • (2 TB/h) * 8192 Gib/h
   • 2 TB/h = 16384 Gibibits per hour (Base 2)

3. 0.5 Terabytes per hour (500 GB/h) in Base 10:

   • (0.5 TB/h) * 7450.58 (Gib/h) conversion factor
   • 0.5 TB/h ≈ 3725.29 Gibibits per hour (Base 10)

4. 10 Terabytes per hour in Base 2:

   • (10 TB/h) * 8192 Gib/h
   • 10 TB/h = 81920 Gibibits per hour (Base 2)