bits per second to Bytes per hour conversion

How to convert bits per second to bytes per hour?

To convert bits per second (bps) to Bytes per hour, you'll need to follow these steps:

1. Convert bits per second to bytes per second: Since 1 Byte = 8 bits, to convert bits to Bytes, you divide the number of bits by 8.

2. Convert bytes per second to bytes per hour: There are 3600 seconds in an hour (60 seconds/minute * 60 minutes/hour), so you multiply the bytes per second by 3600.

Let's go through the calculation for 1 bit per second:

Base 10 (Decimal):

1. Convert Bits per Second to Bytes per Second: $1 \text{ bit/second} \div 8 = 0.125 \text{ Bytes/second}$

2. Convert Bytes per Second to Bytes per Hour: $0.125 \text{ Bytes/second} \times 3600 \text{ seconds/hour} = 450 \text{ Bytes/hour}$

So, 1 bit per second is equal to 450 Bytes per hour in base 10.

Base 2 (Binary):

In computing, sometimes data is calculated based on binary units, where 1 Kibibyte (KiB) = 1024 bytes. However, bits and bytes generally follow the base 10 system for data rates. Therefore, similar calculations as above apply for base 2 when converting typical networking data rates (bits per second) to storage data rates (bytes per second). The direct base 2 conversion might not apply as the units themselves do not usually change to base 2 calculations for data rates in bits per second.

In other words, for data transfer speeds such as bps, the calculations are typically performed using base 10.

Let's avoid confusion by noting that data rate conversions from bps to Bps and subsequently to hour-based values are done consistently in base 10. Therefore, it does not change between base 10 and base 2 for these conversions.

Real-World Examples:

Considering other quantities:

1. 56 Kbps (Kilobits per second):

   • Bytes per second: $56,000 \text{ bits/second} \div 8 = 7,000 \text{ Bytes/second}$
   • Bytes per hour: $7,000 \text{ Bytes/second} \times 3600 = 25,200,000 \text{ Bytes/hour} \approx 25.2 \text{ MB/hour}$

2. 1 Mbps (Megabit per second):

   • Bytes per second: $1,000,000 \text{ bits/second} \div 8 = 125,000 \text{ Bytes/second}$
   • Bytes per hour: $125,000 \text{ Bytes/second} \times 3600 = 450,000,000 \text{ Bytes/hour} \approx 450 \text{ MB/hour}$

3. 100 Mbps (Megabits per second):

   • Bytes per second: $100,000,000 \text{ bits/second} \div 8 = 12,500,000 \text{ Bytes/second}$
   • Bytes per hour: $12,500,000 \text{ Bytes/second} \times 3600 = 45,000,000,000 \text{ Bytes/hour} \approx 45 \text{ GB/hour}$

These calculations give a practical understanding of how data transfer rates can accumulate over time, which is crucial for planning network capacities and data storage needs.