Terabytes per hour to Mebibytes per second conversion

How to convert terabytes per hour to mebibytes per second?

To convert 1 Terabyte per hour (TB/h) to Mebibytes per second (MiB/s), we need to do a few unit converisons carefully.

Using Base 10 (Decimal System)

In the decimal system:

• 1 Terabyte (TB) = 10^12 bytes = 1,000,000,000,000 bytes
• 1 hour = 3600 seconds

Now, we need to convert bytes to Mebibytes:

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

Using these units, let's convert 1 TB/h to MiB/s:

1. Convert 1 Terabyte to bytes: 1 TB = 1 × 10^12 bytes = 1,000,000,000,000 bytes

2. Calculate bytes per second: $\text{Bytes per second} = \frac{1,000,000,000,000 \text{ bytes}}{3600 \text{ seconds}} = 277,777,777.78 \text{ bytes/second}$

3. Convert bytes per second to Mebibytes per second: $\text{MiB per second} = \frac{277,777,777.78 \text{ bytes/second}}{1,048,576 \text{ bytes/MiB}} \approx 265.27 \text{ MiB/second}$

Using Base 2 (Binary System)

In the binary system, which uses binary prefixes:

• 1 Tebibyte (TiB) = 2^40 bytes = 1,099,511,627,776 bytes
• 1 hour = 3600 seconds

1. Convert 1 Tebibyte to bytes: 1 TiB = 1,099,511,627,776 bytes

2. Calculate bytes per second: $\text{Bytes per second} = \frac{1,099,511,627,776 \text{ bytes}}{3600 \text{ seconds}} = 305,178,229.94 \text{ bytes/second}$

3. Convert bytes per second to Mebibytes per second: $\text{MiB per second} = \frac{305,178,229.94 \text{ bytes/second}}{1,048,576 \text{ bytes/MiB}} \approx 291.27 \text{ MiB/second}$

Real World Examples

1. 2 Terabytes per hour

   • Base 10: $2 \text{ TB/h} \approx 2 \times 265.27 \text{ MiB/s} = 530.54 \text{ MiB/s}$
   • Base 2: $2 \text{ TiB/h} \approx 2 \times 291.27 \text{ MiB/s} = 582.54 \text{ MiB/s}$

2. 0.5 Terabytes per hour

   • Base 10: $0.5 \text{ TB/h} \approx 0.5 \times 265.27 \text{ MiB/s} = 132.635 \text{ MiB/s}$
   • Base 2: $0.5 \text{ TiB/h} \approx 0.5 \times 291.27 \text{ MiB/s} = 145.635 \text{ MiB/s}$

3. 10 Terabytes per hour

   • Base 10: $10 \text{ TB/h} \approx 10 \times 265.27 \text{ MiB/s} = 2652.7 \text{ MiB/s}$
   • Base 2: $10 \text{ TiB/h} \approx 10 \times 291.27 \text{ MiB/s} = 2912.7 \text{ MiB/s}$

This illustrates how different base calculations give different results in Mebibytes per second for the same rate of Terabytes per hour transfer speed.