Mebibytes per second to Gigabytes per second conversion

How to convert mebibytes per second to gigabytes per second?

Converting from Mebibytes per second (MiB/s) to Gigabytes per second (GB/s) involves understanding the difference between binary (base 2) and decimal (base 10) units. Here's a step-by-step explanation for both bases:

Base 2 (Binary) Conversion

1 Mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes

1 Gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes

To convert Mebibytes per second to Gibibytes per second: $1 \text{ MiB/s} = \frac{1 \times 2^{20} \text{ bytes/second}}{2^{30} \text{ bytes/GiB}}$ $1 \text{ MiB/s} = \frac{1,048,576}{1,073,741,824} \text{ GiB/s}$ $1 \text{ MiB/s} \approx 0.0009765625 \text{ GiB/s}$

Base 10 (Decimal) Conversion

1 Megabyte (MB) = 10^6 bytes = 1,000,000 bytes

1 Gigabyte (GB) = 10^9 bytes = 1,000,000,000 bytes

To convert Megabytes per second (not Mebibytes per second) to Gigabytes per second: $1 \text{ MB/s} = \frac{1 \times 10^{6} \text{ bytes/second}}{10^{9} \text{ bytes/GB}}$ $1 \text{ MB/s} = \frac{1,000,000}{1,000,000,000} \text{ GB/s}$ $1 \text{ MB/s} = 0.001 \text{ GB/s}$

Therefore, in base 10, the conversion is straightforward: $1 \text{ MiB/s} = 0.001024 \text{ GB/s} \text{ (base 10)}$

Summary

• Base 2 (Binary): $1 \text{ MiB/s} \approx 0.0009765625 \text{ GiB/s}$
• Base 10 (Decimal): $1 \text{ MiB/s} = 0.001024 \text{ GB/s}$

Real World Examples

To put these conversions into context, here are some real-world examples for other quantities of Mebibytes per second:

1. 25 MiB/s (Base 2): $25 \text{ MiB/s} \approx 25 \times 0.0009765625 = 0.0244140625 \text{ GiB/s}$

2. 50 MiB/s (Base 2): $50 \text{ MiB/s} \approx 50 \times 0.0009765625 = 0.048828125 \text{ GiB/s}$

3. 100 MiB/s (Base 2): $100 \text{ MiB/s} \approx 100 \times 0.0009765625 = 0.09765625 \text{ GiB/s}$

4. 150 MiB/s (Base 2): $150 \text{ MiB/s} \approx 150 \times 0.0009765625 = 0.146484375 \text{ GiB/s}$

For base 10:

1. 25 MiB/s (Base 10): $25 \text{ MiB/s} = 25 \times 0.001024 = 0.0256 \text{ GB/s}$

2. 50 MiB/s (Base 10): $50 \text{ MiB/s} = 50 \times 0.001024 = 0.0512 \text{ GB/s}$

3. 100 MiB/s (Base 10): $100 \text{ MiB/s} = 100 \times 0.001024 = 0.1024 \text{ GB/s}$

4. 150 MiB/s (Base 10): $150 \text{ MiB/s} = 150 \times 0.001024 = 0.1536 \text{ GB/s}$

These examples illustrate how data transfer rates can be converted and understood in different contexts depending on whether you're using binary or decimal measurements.