Gibibytes per second to bits per second conversion

How to convert gibibytes per second to bits per second?

Sure, let's walk through the conversion process and then look at a few real-world examples.

Conversion from Gibibytes per second to Bits per second

First, let's clarify the units and the bases:

1 Gibibyte = $2^{30}$ bytes (since Gibibyte is based on binary, or base 2) 1 byte = 8 bits

Base 2 Conversion (Binary)

1 Gibibyte = $2^{30}$ bytes $2^{30} = 1,073,741,824$ bytes

Since each byte has 8 bits: $1,073,741,824 \times 8 = 8,589,934,592$ bits

Therefore, 1 Gibibyte per second (GiB/s) in bits per second (bps) is: $8,589,934,592 \text{ bits/second}$ (bps)

Base 10 Conversion (Decimal)

It's important to note that in base 10, the equivalent term is Gigabyte (GB), not Gibibyte. 1 Gigabyte = $10^9$ bytes

So in base 10, considering 1 GB/s: 1 Gigabyte = $10^9$ bytes

Since each byte has 8 bits: $10^9 \times 8 = 8 \times 10^9 = 8,000,000,000$ bits

If we were using base 10, 1 Gigabyte per second (GB/s) would be: $8,000,000,000 \text{ bits/second}$ (bps)

Real World Examples of Data Transfer Rates

1. Consumer Internet Speeds:

   • 100 Megabits per second (Mbps): Typical high-speed residential internet speed. Conversion: $100 \times 10^6 = 100,000,000$ bits/second This is way lower compared to a Gibibyte per second which is $8,589,934,592$ bits/second.

2. USB Flash Drives & External SSDs:

   • USB 3.1 Gen 2: Claims up to 10 Gigabits per second (Gbps). Conversion: $10 \times 10^9 = 10,000,000,000$ bits/second Again, 10 Gbps is still lower than 1 GiB/s which is $8,589,934,592$ bits/second.

3. Enterprise Storage Systems:

   • NVMe SSDs: Some high-end NVMe SSDs offer data transfer rates up to 3.5 Gigabytes per second (GB/s). Conversion: $3.5 \times 10^9 \times 8 = 28,000,000,000$ bits/second Higher than 1 GiB/s but measured differently as 1 GiB/s $= 8,589,934,592 \text{ bps}$

4. Network Backbone Links:

   • 100 Gigabit Ethernet: Common in data centers. Conversion: $100 \times 10^9 = 100,000,000,000$ bits/second 100 Gbps is significantly higher than 1 GiB/s.

Summary

• Binary (base 2) Conversion: 1 GiB/s = 8,589,934,592 bps.

• Decimal (base 10) Conversion: 1 GB/s = 8,000,000,000 bps.

The conversions and quantities highlight how vast and varied data transfer rates can be, from consumer-level tech to high-end enterprise solutions.