Bytes per second to Kibibits per hour conversion

How to convert bytes per second to kibibits per hour?

Converting from bytes per second (Bps) to kibibits per hour (Kibibits/hr) involves understanding the relationships between the units:

1. Base 10 & Base 2:

   • Base 10: 1 byte = 8 bits
   • Base 2: 1 kibibit (Kibib) = 2^10 bits = 1024 bits

2. Time Conversion:

   • 1 hour = 3600 seconds

Conversion Process

Base 10 Conversion

1. Convert Bytes per Second to Bits per Second: $1 \text{ Bps} = 1 \text{ Bps} \times 8 \text{ bits/byte} = 8 \text{ bits/second}$

2. Convert Bits per Second to Bits per Hour: $8 \text{ bits/second} \times 3600 \text{ seconds/hour} = 28800 \text{ bits/hour}$

3. Convert Bits per Hour to Kibibits per Hour (Base 2): $\frac{28800 \text{ bits/hour}}{1024 \text{ bits/Kibib}} \approx 28.125 \text{ Kibibits/hour}$

Real World Examples of Conversions:

Example 1: 100 Bytes per Second

1. Convert Bytes per Second to Bits per Second: $100 \text{ Bps} \times 8 \text{ bits/byte} = 800 \text{ bits/second}$

2. Convert Bits per Second to Bits per Hour: $800 \text{ bits/second} \times 3600 \text{ seconds/hour} = 2880000 \text{ bits/hour}$

3. Convert Bits per Hour to Kibibits per Hour (Base 2): $\frac{2880000 \text{ bits/hour}}{1024 \text{ bits/Kibib}} \approx 2812.5 \text{ Kibibits/hour}$

Example 2: 1 Megabyte per Second (MBps) in Base 10

1. Convert Megabytes per Second to Bits per Second (Base 10): $1 \text{ MBps} = 1,000,000 \text{ bytes/second}$ $1,000,000 \text{ bytes/second} \times 8 \text{ bits/byte} = 8,000,000 \text{ bits/second}$

2. Convert Bits per Second to Bits per Hour: $8,000,000 \text{ bits/second} \times 3600 \text{ seconds/hour} = 28,800,000,000 \text{ bits/hour}$

3. Convert Bits per Hour to Kibibits per Hour (Base 2): $\frac{28,800,000,000 \text{ bits/hour}}{1024 \text{ bits/Kibib}} \approx 28,125,000 \text{ Kibibits/hour}$

Summary:

• 1 Bytes per second (Bps) = 28.125 Kibibits per hour (Kibibits/hr) (Base 2)
• The conversion factor utilizes the base 2 for kibibits, where 1 Kibib = 1024 bits.

Real-World Utility

• Video Streaming: Bitrates for online video and audio streaming are often measured in bits per second.
• File Transfer: Network speeds (e.g., broadband) are commonly reported in Mbps (megabits per second), which can be translated to bytes for file transfer rates.
• Data Storage Transfer: Backup and data synchronization services often use these rates to indicate how quickly data can be transferred.

These conversions are crucial for understanding data flow and storage requirements in various IT and communication systems.