bits per hour to Bytes per second conversion

How to convert bits per hour to bytes per second?

Certainly! To convert from bits per hour (bph) to bytes per second (Bps), you'll need to follow these steps:

Conversion Process:

1. Understand the Units:

   • 1 byte = 8 bits.
   • There are 3600 seconds in an hour.

2. Steps to Convert:

   • First, convert bits per hour to bits per second by dividing by 3600 (since there are 3600 seconds in an hour).
   • Then, convert bits per second to bytes per second by dividing by 8 (since there are 8 bits in a byte).

Conversion Calculation:

Base 10 (Decimal System):

1 bit per hour (bph):

1. Convert bph to bps: $\frac{1 \text{ bit}}{3600 \text{ seconds}} = 2.77778 \times 10^{-4} \text{ bits per second (bps)}$

2. Convert bps to Bps: $\frac{2.77778 \times 10^{-4} \text{ bps}}{8} = 3.47222 \times 10^{-5} \text{ bytes per second (Bps)}$

So, 1 bit per hour is approximately $3.47222 \times 10^{-5}$ bytes per second in base 10.

Base 2 (Binary System):

In practice, network speeds and data transfer rates are usually measured in base 10. However, in computing, sizes of data storage are often measured in base 2 units (kibi, mebi, gibi, etc.).

For data transfer, typically, base 10 calculation is used (because network speeds such as Mbps or Gbps are defined in decimal terms). Therefore, the conversion process itself is usually based on the standard decimal calculation provided above.

Real-World Examples:

Let’s consider some practical scenarios with larger quantities:

1. 10,000 bits per hour:

   • Convert bph to bps: $\frac{10,000 \text{ bits}}{3600 \text{ seconds}} = 2.77778 \text{ bps}$

   • Convert bps to Bps: $\frac{2.77778 \text{ bps}}{8} \approx 0.34722 \text{ Bps}$

2. 1,000,000 bits per hour:

   • Convert bph to bps: $\frac{1,000,000 \text{ bits}}{3600 \text{ seconds}} \approx 277.77778 \text{ bps}$

   • Convert bps to Bps: $\frac{277.77778 \text{ bps}}{8} \approx 34.72222 \text{ Bps}$

3. 1 Gigabit per hour (1 billion bits per hour):

   • Convert bph to bps: $\frac{1,000,000,000 \text{ bits}}{3600 \text{ seconds}} \approx 277,777.78 \text{ bps}$

   • Convert bps to Bps: $\frac{277,777.78 \text{ bps}}{8} \approx 34,722.22 \text{ Bps}$

In summary, to convert bits per hour to bytes per second, you divide by 3600 (to get bits per second) and then by 8 (to get bytes per second). Generally, the calculations are done in base 10 for practical data transfer rate measurements.