Gigabytes per second to Mebibytes per second conversion

How to convert gigabytes per second to mebibytes per second?

Let's explore how to convert 1 Gigabyte per second (GB/s) to Mebibytes per second (MiB/s). The difference between these two units depends on whether you are using the base 10 (decimal) or base 2 (binary) system for calculation.

Conversion in Base 10 (Decimal System)

• 1 Gigabyte (GB) = 1,000 Megabytes (MB)
• 1 Megabyte (MB) = 1,000,000 Bytes (B)

Therefore, $1 \text{ GB/s} = 1,000 \text{ MB/s}$

Now, we need to convert Megabytes to Mebibytes using the decimal system.

• 1 Mebibyte (MiB) = 1,048,576 Bytes

Next, let's convert this: $1,000 \text{ MB/s} = \frac{1,000 \times 1,000,000 \text{ Bytes}}{1,048,576 \text{ Bytes/MiB}}$ $\approx 953.674 \text{ MiB/s}$

Conversion in Base 2 (Binary System)

In base 2:

• 1 Gigabyte (GB) = 2^30 Bytes = 1,073,741,824 Bytes
• 1 Mebibyte (MiB) = 2^20 Bytes = 1,048,576 Bytes

Therefore, $1 \text{ GB/s} = \frac{1,073,741,824 \text{ Bytes/s}}{1,048,576 \text{ Bytes/MiB}}$ $= 1,024 \text{ MiB/s}$

Thus, the conversions are:

• Base 10: 1 GB/s ≈ 953.674 MiB/s
• Base 2: 1 GB/s = 1,024 MiB/s

Real World Examples of Data Transfer Rates

1. Internet Speed

   • High-speed fiber-optic internet connections can offer speeds of up to 1 Gigabit per second (Gbps), which is equivalent to 0.125 GB/s. In binary, that's about 128 MiB/s.

2. Data Centers

   • Data center network backbones may run at speeds of 100 Gbps or higher, which equals 12.5 GB/s. This can translate to approximately:
     • Decimal: 11,920.92 MiB/s
     • Binary: 12,800 MiB/s

3. Solid-State Drives (SSDs)

   • Modern NVMe SSDs might achieve read/write speeds of around 3.5 GB/s. This would be:
     • Decimal: About 3,337.86 MiB/s
     • Binary: 3,584 MiB/s

4. USB 3.2 Ports

   • USB 3.2 can theoretically reach speeds of up to 20 Gbps, or 2.5 GB/s:
     • Decimal: Approximately 2,384.19 MiB/s
     • Binary: 2,560 MiB/s

5. GPU Memory Bandwidth

   • High-end GPUs can have memory bandwidths in the range of 500 GB/s or higher, which translates to:
     • Decimal: About 476,837.16 MiB/s
     • Binary: 512,000 MiB/s

Understanding these conversions is crucial for accurately estimating and comparing data transfer capabilities in both consumer and enterprise-level equipment.