Gibibits per hour to Gigabytes per second conversion

How to convert gibibits per hour to gigabytes per second?

To convert 1 Gibibit per hour to Gigabytes per second, you'll first need to understand the relationships between these units. Let's break it down step by step and consider both base 2 (binary) and base 10 (decimal) units of measurement.

Step-by-Step Conversion

1. Understand the units:

   • 1 Gibibit (Gib) = 2^30 bits = 1,073,741,824 bits.
   • 1 Gigabyte (GB):
     • In base 2 (binary): 1 GB = 2^30 bytes = 1,073,741,824 bytes.
     • In base 10 (decimal): 1 GB = 10^9 bytes = 1,000,000,000 bytes.
   • Bits to bytes conversion: 1 byte = 8 bits.
   • 1 hour = 3,600 seconds.

2. Convert Gibibits to bits: $1 \text{ Gib} = 1,073,741,824 \text{ bits}$

3. Convert bits to bytes: $1,073,741,824 \text{ bits} \div 8 = 134,217,728 \text{ bytes}$

4. Convert hours to seconds: $1 \text{ hour} = 3,600 \text{ seconds}$

5. Calculate the data rate in bytes per second: $134,217,728 \text{ bytes} \div 3,600 \text{ seconds} \approx 37,282.70 \text{ bytes per second}$

6. Convert to Gigabytes per second:

   • Base 2 (binary) Gigabyte: $37,282.70 \text{ bytes per second} \div 1,073,741,824 \approx 3.47 \times 10^{-5} \text{ Gigabytes per second} \text{ (base 2)}$

   • Base 10 (decimal) Gigabyte: $37,282.70 \text{ bytes per second} \div 1,000,000,000 \approx 3.728 \times 10^{-5} \text{ Gigabytes per second} \text{ (base 10)}$

Summary of Conversion

• Base 2 (binary): $1 \text{ Gibibit per hour} \approx 3.47 \times 10^{-5} \text{ Gigabytes per second}$

• Base 10 (decimal): $1 \text{ Gibibit per hour} \approx 3.728 \times 10^{-5} \text{ Gigabytes per second}$

Real-world Examples

• 10 Gibibits per hour in base 2: $10 \times 3.47 \times 10^{-5} \approx 3.47 \times 10^{-4} \text{ Gigabytes per second} \text{ (base 2)}$

• 100 Gibibits per hour in base 2: $100 \times 3.47 \times 10^{-5} \approx 3.47 \times 10^{-3} \text{ Gigabytes per second} \text{ (base 2)}$

• 1000 Gibibits per hour in base 10: $1000 \times 3.728 \times 10^{-5} \approx 3.728 \times 10^{-2} \text{ Gigabytes per second} \text{ (base 10)}$

These conversions can help understand the performance of data transfer over a network, disk storage performance, or the bandwidth required for certain applications.