Mebibytes per hour to Kibibits per hour conversion

How to convert mebibytes per hour to kibibits per hour?

To convert from Mebibytes per hour (MiB/h) to Kibibits per hour (Kibit/h), you'll need to understand the relationship between these units. Here’s a detailed step-by-step process for conversion considering both base 2 and base 10 prefixes:

Base 2 (Binary Prefix)

1. Understanding the Units:

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

2. Convert 1 Mebibyte to bits:

   • 1 MiB = 1,048,576 bytes.
   • $1,048,576 \text{ bytes} \times 8 \text{ bits/byte} = 8,388,608 \text{ bits}$.

3. Convert bits to Kibibits:

   • 8,388,608 bits / 1,024 bits/Kibit = 8,192 Kibit.

4. Convert the rate:

   • Since the conversion is per hour, the rate remains consistent.
   • Therefore, 1 MiB/h = 8,192 Kibit/h.

Base 10 (Decimal Prefix)

1. Understanding the Units:

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

2. Convert 1 Megabyte to bits:

   • 1 MB = 1,000,000 bytes.
   • $1,000,000 \text{ bytes} \times 8 \text{ bits/byte} = 8,000,000 \text{ bits}$.

3. Convert bits to Kilobits:

   • 8,000,000 bits / 1,000 bits/Kibit = 8,000 Kibit.

4. Convert the rate:

   • Since the conversion is per hour, the rate remains consistent.
   • Therefore, 1 MB/h = 8,000 Kibit/h.

Real-World Examples

Let's look at different quantities of Mebibytes per hour and their conversions in base 2.

• 5 MiB/h:

  • Conversion to Kibit/h: $5 \times 8,192 = 40,960$ Kibit/h.

• 10 MiB/h:

  • Conversion to Kibit/h: $10 \times 8,192 = 81,920$ Kibit/h.

• 50 MiB/h:

  • Conversion to Kibit/h: $50 \times 8,192 = 409,600$ Kibit/h.

• 100 MiB/h:

  • Conversion to Kibit/h: $100 \times 8,192 = 819,200$ Kibit/h.

For base-10:

• 5 MB/h:

  • Conversion to Kibit/h: $5 \times 8,000 = 40,000$ Kibit/h.

• 10 MB/h:

  • Conversion to Kibit/h: $10 \times 8,000 = 80,000$ Kibit/h.

• 50 MB/h:

  • Conversion to Kibit/h: $50 \times 8,000 = 400,000$ Kibit/h.

• 100 MB/h:

  • Conversion to Kibit/h: $100 \times 8,000 = 800,000$ Kibit/h.