Gigabits per second to Kibibytes per second conversion

How to convert gigabits per second to kibibytes per second?

To convert 1 gigabit per second (Gbps) to kibibytes per second (KiBps), you need to understand the conversion factors between these units. Here are the steps and results for conversions using both base 10 and base 2 systems:

Base 10 (Decimal) System

1 gigabit (Gb) = 1,000,000,000 bits 1 kibibyte (KiB) = 1024 bytes = 1024 * 8 bits = 8,192 bits

1 Gbps = 1,000,000,000 bits per second

To convert to kibibytes per second: $\text{KiBps} = \frac{\text{bits per second}}{\text{bits per kibibyte}} = \frac{1,000,000,000 \text{ bits per second}}{8,192 \text{ bits per kibibyte}}$

$\text{KiBps} = \frac{1,000,000,000}{8,192} \approx 122,070.31 \text{ KiBps}$

Base 2 (Binary) System

In the base 2 (binary) system: 1 gigabit (Gb) = 2^30 bits

1 kibibyte (KiB) = 2^10 bytes = 2^13 bits

1 Gbps = 2^30 bits per second

To convert to kibibytes per second: $\text{KiBps} = \frac{\text{bits per second}}{\text{bits per kibibyte}} = \frac{2^{30} \text{ bits per second}}{2^{13} \text{ bits per kibibyte}}$

$\text{KiBps} = 2^{30-13}$

$\text{KiBps} = 2^{17}$

$\text{KiBps} = 131,072 \text{ KiBps}$

Summary

• Base 10 System: 1 Gbps ≈ 122,070.31 KiBps
• Base 2 System: 1 Gbps = 131,072 KiBps

Real-World Examples

1. 5 Gbps:

   • Base 10: $5 \times 122,070.31 \approx 610,351.55 \text{ KiBps}$
   • Base 2: $5 \times 131,072 = 655,360 \text{ KiBps}$

2. 10 Gbps:

   • Base 10: $10 \times 122,070.31 \approx 1,220,703.1 \text{ KiBps}$
   • Base 2: $10 \times 131,072 = 1,310,720 \text{ KiBps}$

3. 100 Gbps:

   • Base 10: $100 \times 122,070.31 \approx 12,207,031 \text{ KiBps}$
   • Base 2: $100 \times 131,072 = 13,107,200 \text{ KiBps}$

4. 1 Tbps:

   • Base 10: $1,000 \times 122,070.31 \approx 122,070,310 \text{ KiBps}$
   • Base 2: $1,000 \times 131,072 = 131,072,000 \text{ KiBps}$

These conversions are useful in contexts such as network speed discussions, data transfer rates for cloud storage services, and other scenarios where data throughput is a critical parameter.