Mebibytes per second to Gigabytes per day conversion

How to convert mebibytes per second to gigabytes per day?

Sure, I can help you with that!

Firstly, let's understand the units and conversions:

• 1 Mebibyte (MiB) = 2^20 bytes (which is 1,048,576 bytes).
• 1 Gigabyte (GB) in base 10 = 10^9 bytes (which is 1,000,000,000 bytes).
• 1 Gigabyte (GiB) in base 2 = 2^30 bytes (which is 1,073,741,824 bytes).
• There are 86,400 seconds in a day (24 hours * 60 minutes * 60 seconds).

Now, let's do the conversions for both base 10 and base 2.

Base 10 Conversion:

1. Calculate the total number of bytes transferred in one day:

   $1 \text{ MiB/s} \times 1,048,576 \text{ bytes/MiB} \times 86,400 \text{ seconds/day} = 90,971,402,240 \text{ bytes/day}$.

2. Convert bytes per day to Gigabytes:

   $\frac{90,971,402,240 \text{ bytes/day}}{1,000,000,000 \text{ bytes/GB}} = 90.97140224 \text{ GB/day}$.

So, 1 MiB/s is approximately 90.971 GB per day in base 10.

Base 2 Conversion:

1. Calculate the total number of bytes transferred in one day (same as above):

   $1 \text{ MiB/s} \times 1,048,576 \text{ bytes/MiB} \times 86,400 \text{ seconds/day} = 90,971,402,240 \text{ bytes/day}$.

2. Convert bytes per day to Gigabytes:

   $\frac{90,971,402,240 \text{ bytes/day}}{1,073,741,824 \text{ bytes/GiB}} \approx 84.588 \text{ GiB/day}$.

So, 1 MiB/s is approximately 84.588 GiB per day in base 2.

Real World Examples:

Here are some examples of different data transfer rates in Mebibytes per second and their equivalent in Gigabytes and Gibibytes per day:

1. 10 MiB/s:

   • In base 10: $10 \times 90.97140224 = 909.7140224$ GB/day.
   • In base 2: $10 \times 84.588 = 845.88$ GiB/day.

2. 50 MiB/s:

   • In base 10: $50 \times 90.97140224 = 4548.570112$ GB/day.
   • In base 2: $50 \times 84.588 = 4229.4$ GiB/day.

3. 100 MiB/s:

   • In base 10: $100 \times 90.97140224 = 9097.140224$ GB/day.
   • In base 2: $100 \times 84.588 = 8458.8$ GiB/day.

4. 500 MiB/s:

   • In base 10: $500 \times 90.97140224 = 45485.70112$ GB/day.
   • In base 2: $500 \times 84.588 = 42294$ GiB/day.

These calculations help you understand how different data transfer speeds in Mebibytes per second translate to daily data usage in both GB and GiB.