Gibibits per second to Gibibytes per hour conversion

How to convert gibibits per second to gibibytes per hour?

Sure, let's break down the conversion from Gibibits per second (Gib/s) to Gibibytes per hour (GiB/hr). We'll go through this step-by-step for base 2 (binary) conversions and make sure to explain any differences for base 10 (decimal).

Definition

1 Gibibit (Gib) = 2^30 bits = 1,073,741,824 bits 1 Gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes 1 Byte = 8 bits

Step-by-Step Conversion

Base 2 (binary):

1. Convert Gibibits to bits:

   • 1 Gib/s = 1 Gib/s × 1,073,741,824 bits/Gib = 1,073,741,824 bits per second

2. Convert bits to bytes:

   • 1,073,741,824 bits per second ÷ 8 = 134,217,728 bytes per second

3. Convert bytes to Gibibytes:

   • 1 Gibibyte (GiB) = 1,073,741,824 bytes
   • 134,217,728 bytes per second ÷ 1,073,741,824 bytes/Gibibyte = 0.125 GiB per second

4. Convert seconds to hours:

   • 1 hour = 3600 seconds
   • 0.125 GiB per second × 3600 seconds/hour = 450 GiB per hour

So, 1 Gibibit per second ≈ 450 GiB per hour when using base 2 (binary) measurements.

Base 10 (decimal):

1. Convert Gibibits to bits:

   • Use the same initial conversion and Gibibit definition as in base 2 because 1 Gibibit by definition is always based on 2^30.
   • 1 Gib/s = 1 Gib/s × 1,073,741,824 bits ≈ 1,073,741,824 bits per second

2. Convert bits to bytes:

   • 1,073,741,824 bits per second ÷ 8 = 134,217,728 bytes per second

3. Convert bytes to gigabytes (decimal):

   • 1 gigabyte (GB) = 10^9 bytes (1,000,000,000 bytes in base 10)
   • 134,217,728 bytes per second ÷ 1,000,000,000 bytes/GB ≈ 0.134217728 GB per second

4. Convert seconds to hours:

   • 1 hour = 3600 seconds
   • 0.134217728 GB per second × 3600 seconds/hour ≈ 483.18 GB per hour

So, 1 Gibibit per second ≈ 450 GiB per hour (base 2) and ≈ 483.18 GB per hour (base 10).

Real World Examples

1. Network Bandwidth:

   • Let's say your network connection has a bandwidth of 2 Gibibits per second.
     • In base 2 (binary): 2 Gib/s × 450 GiB/hr = 900 GiB/hr
     • In base 10 (decimal): 2 Gib/s × 483.18 GB/hr = 966.36 GB/hr

2. Data Backup:

   • Backing up a server with a bandwidth capacity of 5 Gibibits per second.
     • In base 2 (binary): 5 Gib/s × 450 GiB/hr = 2250 GiB/hr
     • In base 10 (decimal): 5 Gib/s × 483.18 GB/hr = 2415.90 GB/hr

These examples illustrate the versatility in using Gibibits per second for measuring high-speed data transfer in various contexts.