Mebibytes per second to Kibibits per hour conversion

How to convert mebibytes per second to kibibits per hour?

Converting Mebibytes per second to Kibibits per hour

To convert from Mebibytes per second (MiB/s) to Kibibits per hour (Kibit/h), you need to follow these steps. Data transfer rates can be measured in base 10 (SI units) or base 2 (binary units). Here, I'll detail both approaches:

Base 2 (Binary Units)

1 Mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes
1 byte = 8 bits
1 Kibibit (Kibit) = 2^10 bits = 1,024 bits

Step-by-Step Conversion (Base 2):

1. Convert Mebibytes to bytes: $1 \text{ MiB/s} = 1 \times 2^{20} \text{ bytes/s} = 1,048,576 \text{ bytes/s}$

2. Convert bytes to bits: $1,048,576 \text{ bytes/s} \times 8 \text{ bits/byte} = 8,388,608 \text{ bits/s}$

3. Convert bits to Kibibits: $8,388,608 \text{ bits/s} \div 2^{10} \text{ bits/Kibit} = 8,192 \text{ Kibit/s}$

4. Convert seconds to hours: $8,192 \text{ Kibit/s} \times 3,600 \text{ s/hour} = 29,491,200 \text{ Kibit/h}$

Base 10 (SI Units)

1 Megabyte (MB) = 10^6 bytes = 1,000,000 bytes
1 byte = 8 bits
1 Kilobit (Kbit) = 10^3 bits = 1,000 bits

Step-by-Step Conversion (Base 10):

1. Convert Megabytes to bytes: $1 \text{ MB/s} = 1 \times 10^6 \text{ bytes/s} = 1,000,000 \text{ bytes/s}$

2. Convert bytes to bits: $1,000,000 \text{ bytes/s} \times 8 \text{ bits/byte} = 8,000,000 \text{ bits/s}$

3. Convert bits to Kilobits: $8,000,000 \text{ bits/s} \div 1,000 \text{ bits/Kbit} = 8,000 \text{ Kbit/s}$

4. Convert seconds to hours: $8,000 \text{ Kbit/s} \times 3,600 \text{ s/hour} = 28,800,000 \text{ Kbit/h}$

Summary:

• Base 2: 1 MiB/s = 29,491,200 Kibit/h
• Base 10: 1 MB/s = 28,800,000 Kbit/h

Real-World Examples Using Mebibytes per Second

1. High-Speed Internet Connection: A high-speed internet connection of 100 MiB/s (binary) would equate to:

   • Base 2: $100 \times 29,491,200$ Kibit/h = 2,949,120,000 Kibit/h
   • Base 10: $100 \times 28,800,000$ Kbit/h = 2,880,000,000 Kbit/h

2. Data Center Backup: A data center backing up data at a rate of 500 MiB/s:

   • Base 2: $500 \times 29,491,200$ Kibit/h = 14,745,600,000 Kibit/h
   • Base 10: $500 \times 28,800,000$ Kbit/h = 14,400,000,000 Kbit/h

3. Streamed 4K Videos: Streaming a 4K video typically requires around 30 MiB/s:

   • Base 2: $30 \times 29,491,200$ Kibit/h = 884,736,000 Kibit/h
   • Base 10: $30 \times 28,800,000$ Kbit/h = 864,000,000 Kbit/h