Gigabits per second to Gigabytes per second conversion

How to convert gigabits per second to gigabytes per second?

To convert Gigabits per second (Gbps) to Gigabytes per second (GBps), you need to understand the difference between bits and bytes, and the different number systems (base 10 and base 2). Here's how you can do the conversion:

Base 10 Conversion

• 1 Gigabit (Gb) = 1,000,000,000 bits (b)
• 1 Byte (B) = 8 bits (b)
• So, 1 Gigabyte (GB) = 1,000,000,000 bytes (B)

To convert Gigabits per second to Gigabytes per second in base 10: $1 \text{ Gbps} = \frac{1,000,000,000 \text{ bits per second}}{8,000,000,000 \text{ bytes per second}} = \frac{1}{8} \text{ GBps} = 0.125 \text{ GBps}$

Base 2 Conversion

• 1 Gigabit (Gb) = $2^{30}$ bits (which is 1,073,741,824 bits)
• 1 Byte (B) = 8 bits (b)
• So, 1 Gigabyte (GiB) = $2^{30}$ bytes (which is 1,073,741,824 bytes)

To convert Gigabits per second to Gigabytes per second in base 2: $1 \text{ Gbps} = \frac{1,073,741,824 \text{ bits per second}}{8 \times 1,073,741,824 \text{ bytes per second}} = \frac{2^{30}}{2^3 \times 2^{30}} \text{ GiBps}= \frac{1}{8} \text{ GiBps} = 0.125 \text{ GiBps}$

In this case, the conversion in both base 10 and base 2 will result in the same numeric value of 0.125 GBps or GiBps.

Real-World Examples for Various Gigabit Speeds

1. 10 Gbps Connection: Common in data centers for high-speed networking.

   • Base 10: $10 \text{ Gbps} = 1.25 \text{ GBps}$
   • Base 2: $10 \text{ Gbps} = 1.25 \text{ GiBps}$

2. 1 Gbps Home Internet: High-speed internet for consumers.

   • Base 10: $1 \text{ Gbps} = 0.125 \text{ GBps}$
   • Base 2: $1 \text{ Gbps} = 0.125 \text{ GiBps}$

3. 100 Gbps Backbone Network: Used for telecommunications backbones and large data exchanges.

   • Base 10: $100 \text{ Gbps} = 12.5 \text{ GBps}$
   • Base 2: $100 \text{ Gbps} = 12.5 \text{ GiBps}$

These examples showcase the conversion and applicability of different network speeds in real-world scenarios, making it clear how to convert between bits and bytes as well as the impact of using different numbering bases.