Bytes per hour to Tebibits per second conversion

How to convert bytes per hour to tebibits per second?

To convert from Bytes per hour (B/h) to Tebibits per second (Tibps), you need to understand some basic unit conversion principles.

Conversion Factors

1. Time Units:

   • 1 hour = 3600 seconds

2. Data Units:

   • Base 10 system (Decimal): 1 Byte (B) = 8 bits (b)
   • Base 2 system (Binary): 1 Tebibit (Tib) = 2^40 bits

Conversion Steps

Step 1: Convert Bytes to bits

1 Byte = 8 bits

Step 2: Convert hours to seconds

1 hour = 3600 seconds

Step 3: Combine the two steps

Combine both conversion factors to get the rate in bits per second: $\text{1 B/h} = \frac{8 \text{ bits}}{3600 \text{ seconds}} = \frac{8}{3600} \text{ bps}$ $\text{1 B/h} = \frac{2}{900} \text{ bps} \approx 0.00222 \text{ bps}$

Step 4: Convert bits per second to Tebibits per second

For Base 2 (Binary): $1 \text{ bit} = 2^{-40} \text{ Tibit}$ Multiplying by this conversion factor: $0.00222 \text{ bps} \times 2^{-40} \approx 2.22 \times 10^{-3} \times 8.88178 \times 10^{-13} \text{ Tibps} = 1.97 \times 10^{-15} \text{ Tibps}$

So, for the base 2 (binary) system: $1 \text{ B/h} \approx 1.97 \times 10^{-15} \text{ Tibps}$

For Base 10 (Decimal):

• 1 Terabit (Tb) = 10^{12} bits, thus converting bits to Terabits: $0.00222 \text{ bps} \times 10^{-12} \approx 2.22 \times 10^{-15} \text{ Tbps}$ Now convert Terabits to Tebibits, noting that $1 \text{ Tb} \approx 0.9095 \text{ Tib}$: $2.22 \times 10^{-15} \text{ Tbps} \times 0.9095 \approx 2.02 \times 10^{-15} \text{ Tibps}$

So, for the base 10 (decimal) system: $1 \text{ B/h} \approx 2.02 \times 10^{-15} \text{ Tibps}$

Real-World Examples of Bytes per Hour:

Let's take some common data transfer quantities and convert them to Tibps.

1. 1 Megabyte per hour (1 MB/h):

   • 1 MB = 1,024,000 B (decimal) or 1,048,576 B (binary).
   • For binary: $1,048,576 \text{ B/h} = 1,048,576 \times 1.97 \times 10^{-15} \text{ Tibps} \approx 2.06 \times 10^{-9} \text{ Tibps}$
   • For decimal: $1,024,000 \text{ B/h} = 1,024,000 \times 2.02 \times 10^{-15} \text{ Tibps} \approx 2.07 \times 10^{-9} \text{ Tibps}$

2. 1 Gigabyte per hour (1 GB/h):

   • 1 GB = 1,000,000,000 B (decimal) or 1,073,741,824 B (binary).
   • For binary: $1,073,741,824 \text{ B/h} = 1,073,741,824 \times 1.97 \times 10^{-15} \text{ Tibps} \approx 2.12 \times 10^{-6} \text{ Tibps}$
   • For decimal: $1,000,000,000 \text{ B/h} = 1,000,000,000 \times 2.02 \times 10^{-15} \text{ Tibps} \approx 2.02 \times 10^{-6} \text{ Tibps}$

With these examples, you can get an idea of how to perform these conversions and understand the differences between the base 10 and base 2 systems.