Megabytes per second to Kibibits per hour conversion

How to convert megabytes per second to kibibits per hour?

To convert data transfer rates from Megabytes per second (MB/s) to Kibibits per hour (Kibit/h), you need to understand the relationships between different units:

1. Megabyte (MB):

   • SI definition: 1 MB = 1,000,000 bytes (base 10)
   • Binary definition: 1 MB = 1,048,576 bytes (base 2)

2. Kibibit (Kibit):

   • 1 Kibibit = 1,024 bits (base 2)

3. Time conversion:

   • 1 hour = 3,600 seconds

Converting MB/s to Kibit/h

Base 10 Conversion

1. Convert Megabytes to bytes:

   • 1 MB (base 10) = 1,000,000 bytes

2. Convert bytes to bits:

   • 1 byte = 8 bits
   • 1 MB (base 10) = 1,000,000 bytes × 8 bits/byte = 8,000,000 bits

3. Convert bits to Kibibits:

   • 1 Kibibit = 1,024 bits
   • 8,000,000 bits ÷ 1,024 = 7,812.5 Kibibits

4. Convert per second rate to per hour rate:

   • 7,812.5 Kibibits/second × 3,600 seconds/hour = 28,125,000 Kibibits/hour

So, in base 10, 1 MB/s converts to 28,125,000 Kibit/h.

Base 2 Conversion

1. Convert Megabytes to bytes:

   • 1 MB (base 2) = 1,048,576 bytes

2. Convert bytes to bits:

   • 1 byte = 8 bits
   • 1 MB (base 2) = 1,048,576 bytes × 8 bits/byte = 8,388,608 bits

3. Convert bits to Kibibits:

   • 1 Kibibit = 1,024 bits
   • 8,388,608 bits ÷ 1,024 = 8,192 Kibibits

4. Convert per second rate to per hour rate:

   • 8,192 Kibibits/second × 3,600 seconds/hour = 29,491,200 Kibibits/hour

So, in base 2, 1 MB/s converts to 29,491,200 Kibit/h.

Real-world Examples for Other Quantities of Megabytes per Second

Here are some examples of different data transfer rates, converted to Kibibits per hour (both base 10 and base 2):

5 MB/s:

• Base 10: 5 MB/s × 28,125,000 Kibit/h = 140,625,000 Kibit/h
• Base 2: 5 MB/s × 29,491,200 Kibit/h = 147,456,000 Kibit/h

10 MB/s:

• Base 10: 10 MB/s × 28,125,000 Kibit/h = 281,250,000 Kibit/h
• Base 2: 10 MB/s × 29,491,200 Kibit/h = 294,912,000 Kibit/h

50 MB/s:

• Base 10: 50 MB/s × 28,125,000 Kibit/h = 1,406,250,000 Kibit/h
• Base 2: 50 MB/s × 29,491,200 Kibit/h = 1,474,560,000 Kibit/h

100 MB/s:

• Base 10: 100 MB/s × 28,125,000 Kibit/h = 2,812,500,000 Kibit/h
• Base 2: 100 MB/s × 29,491,200 Kibit/h = 2,949,120,000 Kibit/h

These conversions illustrate how data transfer rates can vary greatly based on whether you use base 10 or base 2 definitions for megabytes.