Gibibits per hour to Bytes per second conversion

How to convert gibibits per hour to bytes per second?

To convert from gibibits per hour (Gib/h) to bytes per second (B/s), you need to understand the relationships between these units. Here's a step-by-step guide for both base-2 (binary) and base-10 (decimal) conversions:

Base-2 (Binary) Conversion

1. Convert Gibibits to bits:

   • 1 Gibibit (Gib) = $2^{30}$ bits = 1,073,741,824 bits.
   • So, 1 Gibibit per hour (1 Gib/h) = 1,073,741,824 bits per hour.

2. Convert bits per hour to bits per second:

   • There are 3,600 seconds in an hour.
   • Therefore, bits per second = $\frac{1,073,741,824 \text{ bits}}{3,600 \text{ seconds}}$.
   • $\frac{1,073,741,824}{3,600} = 298,261.62$ bits per second.

3. Convert bits per second to bytes per second:

   • There are 8 bits in a byte.
   • Therefore, $\frac{298,261.62}{8} = 37,282.7025$ bytes per second.
   • Rounded to a practical number of significant digits, this would be approximately 37,282.70 bytes per second.

Base-10 (Decimal) Conversion

1. Convert Gibibits to gigabits:

   • 1 Gibibit = 1.073741824 gigabits (because $2^{30}$ bits is slightly more than $10^9$ bits, which is 1 gigabit in base-10).

2. Convert gigabits to bits:

   • 1 gigabit (Gb) = $10^9$ bits.
   • So, 1.073741824 gigabits per hour = $1.073741824 \times 10^9$ bits per hour = 1,073,741,824 bits per hour.

3. Convert bits per hour to bits per second:

   • 1,073,741,824 bits per hour divided by 3,600 seconds per hour = 298,261.62 bits per second.

4. Convert bits per second to bytes per second:

   • 298,261.62 bits per second divided by 8 bits per byte = 37,282.7025 bytes per second.
   • This matches the base-2 scenario because the extra precision in gigabits has negligible impact at the second phase of our conversion.

Real-World Examples

1. Low-Resolution Video Streaming:

   • 500 Gib/h: For a very high-quality 4K streaming, you might need approximately 500 Gib/h.
   • Conversion:
     • 500 Gib/h × 37,282.70 B/s per Gib/h ≈ 18,641,350 B/s or around 18.64 MB/s.

2. Data Backup:

   • 100 Gib/h: A backup system might back up 100 Gib/h.
   • Conversion:
     • 100 Gib/h × 37,282.70 B/s per Gib/h ≈ 3,728,270 B/s or approximately 3.73 MB/s.

3. Medium-Resolution Video Streaming:

   • 50 Gib/h: Medium-quality HD streaming.
   • Conversion:
     • 50 Gib/h × 37,282.70 B/s per Gib/h ≈ 1,864,135 B/s or approximately 1.86 MB/s.

4. Cloud Storage Syncing:

   • 10 Gib/h: A moderate cloud data synchronization rate.
   • Conversion:
     • 10 Gib/h × 37,282.70 B/s per Gib/h ≈ 372,827 B/s or about 364 KB/s.

These conversions are useful for understanding how different data rates apply to real-world scenarios such as video streaming, backups, and data synchronization.