Mebibytes per second to Tebibytes per day conversion

How to convert mebibytes per second to tebibytes per day?

To convert from mebibytes per second (MiB/s) to tebibytes per day (TiB/day), you need to go through a few steps.

1. Understanding Units:

   • Mebibytes (MiB) and Tebibytes (TiB): In base 2 (binary), where 1 MiB = 2^20 bytes and 1 TiB = 2^40 bytes.
   • Seconds to Days: There are 86,400 seconds in a day (24 hours * 60 minutes * 60 seconds).

2. Conversions for Base 2:

   1 MiB/s = 1 MiB/s * 1,024 KiB/MiB * 1,024 Bytes/KiB = 1,048,576 Bytes/s.

   • Calculate how many bytes are transferred in a day: $1,048,576 \text{ Bytes/s} \times 86,400 \text{ seconds/day} = 90,949,440,000 \text{ Bytes/day}$

   • Converting bytes to Tebibytes: $90,949,440,000 \text{ Bytes/day} \div 2^{40} \text{ Bytes/TiB} \approx 0.08203125 \text{ TiB/day}$

In base 2, 1 Mebibyte per second is approximately 0.08203125 Tebibytes per day.

3. Conversions for Base 10:

   Though MiB and TiB are not exactly base 10 units, let's clarify that in base 10:

   • 1 Megabyte (MB) = 10^6 bytes and 1 Terabyte (TB) = 10^12 bytes.

   If we consider a similar conversion for reference (1 MiB ≈ 1.048576 MB in base 10 as well, and 1 TiB ≈ 1.1 TB in base 10):

   • 1 MiB/s ≈ 1.048576 MB/s

   • Calculate MB per day: $1.048576 \text{ MB/s} \times 86,400 \text{ seconds/day} \approx 90,949.44 \text{ MB/day}$

   • Converting MB to Terabytes: $90,949.44 \text{ MB/day} \div 1,000,000 \text{ MB/TB} \approx 0.09094944 \text{ TB/day}$

So in base 10, 1 Mebibyte per second is approximately 0.09094944 Terabytes per day.

Real-World Examples for Different MiB/s Rates:

1. 50 MiB/s Internet Connection:

   • Base 2: $50 \times 0.08203125 \approx 4.1015625 \text{ TiB/day}$
   • Base 10: $50 \times 0.09094944 \approx 4.547472 \text{ TB/day}$

2. Streaming a 4K Video (about 25 MiB/s):

   • Base 2: $25 \times 0.08203125 \approx 2.05078125 \text{ TiB/day}$
   • Base 10: $25 \times 0.09094944 \approx 2.273736 \text{ TB/day}$

3. Hard Drive Transfer (120 MiB/s):

   • Base 2: $120 \times 0.08203125 \approx 9.84375 \text{ TiB/day}$
   • Base 10: $120 \times 0.09094944 \approx 10.9139328 \text{ TB/day}$

These examples illustrate the data you could potentially move in a day at various mebibyte per second transfer rates.