Gibibytes per second to Gigabits per second conversion

How to convert gibibytes per second to gigabits per second?

Certainly! Let's break down the conversion process for 1 Gibibyte per second (GiB/s) to Gigabits per second (Gbps).

Base 2 (Binary):

1 Gibibyte (GiB) is defined as $2^{30}$ bytes. 1 byte is equal to 8 bits.

So, $1 \, \text{GiB} = 2^{30} \, \text{bytes}$ $1 \, \text{GiB} = 2^{30} \times 8 \, \text{bits}$ $1 \, \text{GiB} = 2^{33} \, \text{bits}$ $2^{33} \text{ bits} = 8,589,934,592 \text{ bits}$

Now to convert the data transfer rate from Gibibytes per second to Gigabits per second, we divide by $10^9$: $1 \, \text{GiB/s} = \frac{8,589,934,592 \, \text{bits/s}}{10^9}$ $1 \, \text{GiB/s} \approx 8.59 \, \text{Gbps}$

Base 10 (Decimal):

1 gigabyte (GB) is defined as $10^9$ bytes. 1 byte is equal to 8 bits.

For base 10 calculations (often used in networking and telecommunications): $1 \, \text{GB} = 10^9 \, \text{bytes}$ $1 \, \text{GB} = 10^9 \times 8 \, \text{bits}$ $1 \, \text{GB} = 8 \times 10^9 \, \text{bits}$

Therefore: $1 \, \text{GB/s} = 8 \, \text{Gbps}$

However, it's worth noting that in base 10 definitions, 1 GiB is approximately 1.073741824 GB: $1 \, \text{GiB} \approx 1.073741824 \, \text{GB}$

So for a more accurate base 10 conversion: $1 \, \text{GiB/s} = 1.073741824 \times 8 \, \text{Gbps}$ $1 \, \text{GiB/s} \approx 8.589934592 \, \text{Gbps}$

Summary:

• Base 2 (Binary): 1 GiB/s ≈ 8.59 Gbps
• Base 10 (Decimal): 1 GiB/s ≈ 8.59 Gbps

Here are some real-world examples of other quantities of data transfer rates:

Network Interface Example:

• 10 GiB/s Network Interface Card (NIC): $10 \, \text{GiB/s} \approx 85.9 \, \text{Gbps}$ This is a typical high-speed data center networking setup.

SSD Speed Example:

• 2 GiB/s Solid State Drive (SSD): $2 \, \text{GiB/s} \approx 17.18 \, \text{Gbps}$ High-end consumer SSDs can reach this kind of data transfer rate.

Internet Connection Example:

• 0.125 GiB/s (which is 128 MiB/s): $0.125 \, \text{GiB/s} \approx 1.0737 \, \text{Gbps}$ This is approximately a gigabit internet connection speed.

Additional Note:

When working with data rates and storage, always check whether the units are in binary (base 2) or decimal (base 10) to ensure accurate conversions and comparisons.