Gigabits per hour to Kibibytes per hour conversion

How to convert gigabits per hour to kibibytes per hour?

To convert 1 Gigabit per hour (Gb/h) to Kibibytes per hour (KiB/h), we'll need to understand the relationship between these units. Let's go through both the base-10 and base-2 conversions.

1. Base-10 Conversion (Decimal System)

In the base-10 system:

• 1 Gigabit (Gb) = 1,000,000,000 bits
• 1 Byte = 8 bits
• 1 Kilobyte (KB) = 1,000 Bytes

First, convert Gigabits to Bytes: $1 \text{ Gb} = 1,000,000,000 \text{ bits}$ $1 \text{ Gb} in Bytes = \frac{1,000,000,000 \text{ bits}}{8} = 125,000,000 \text{ Bytes}$

Next, convert Bytes to Kilobytes (KB): $125,000,000 \text{ Bytes} \div 1,000 = 125,000 \text{ KB}$

Finally, convert Kilobytes to Kibibytes (KiB), noting:

• 1 Kibibyte (KiB) = 1,024 Bytes

Now we need the base-2 conversion for Kibibytes, so our bytes should be divided by 1,024: $125,000 \text{ KB} \times \frac{1,000}{1,024} \approx 122,070.31 \text{ KiB}$

Therefore, approximately: $1 \text{ Gb/h} ≈ 122,070.31 \text{ KiB/h}$

2. Base-2 Conversion (Binary System)

In the base-2 system:

• 1 Gigabit (GiB) = 2^30 bits
• 1 Byte = 8 bits
• 1 KiB = 2^10 Bytes

First, convert Gigabits to Bytes: $1 \text{ GiB} = 1,073,741,824 \text{ bits}$ $1 \text{ GiB} in Bytes = \frac{1,073,741,824 \text{ bits}}{8} = 134,217,728 \text{ Bytes}$

Next, convert Bytes to Kibibytes (KiB): $134,217,728 \text{ Bytes} \div 1,024 = 131,072 \text{ KiB}$

Therefore: $1 \text{ GiB/h} = 131,072 \text{ KiB/h}$

Real-World Examples

1. Streaming Video:

   • A common 720p video stream might use around 2-3 Mbps. At 3 Mbps: $3 \text{ Mbps} \times 3,600 \text{ seconds/hour} = 10,800 \text{ Mb/h} = 10.8 \text{ Gb/h}$

2. File Downloads:

   • Downloading a 4 GB file over an hour equates to: $4 \text{ GB} \times 8 = 32 \text{ Gb/h}$ Converting to Kibibytes (base-10): $32 \text{ Gb/h} \approx 3,906,410 KiB/h$

3. Cloud Backup:

   • Backing up 100 GB data full backup: $100 \text{ GB} = 800 \text{ Gb}$ Over 24 hours: $800 \text{ Gb} \div 24 \approx 33.33 \text{ Gb/h}$

Converting to Kibibytes (base-10): $33.33 \text{ GB/h} \approx 4,152,832.5 \text{ KiB/h}$

These examples illustrate how different data transfer rates are applied in various scenarios.