Mebibits per second to Gibibytes per hour conversion

How to convert mebibits per second to gibibytes per hour?

Sure, let's break it down step by step:

1. Understanding the Units:

• Mebibit (Mib) is a unit of digital information, where:

  • 1 Mebibit = 2^20 bits = 1,048,576 bits.

• Gibibyte (GiB) is a unit of digital information, where:

  • 1 Gibibyte = 2^30 bytes = 1,073,741,824 bytes.

• Bits to Bytes conversion is:

  • 1 byte = 8 bits.

2. Conversion from Mebibits per second to Gibibytes per hour:

Base 2 Calculation:

1. Convert Mebibits to bits:

   • 1 Mebibit per second = 1,048,576 bits per second.

2. Convert bits per second to bits per hour:

   • 1,048,576 bits per second * 3600 seconds = 3,774,873,600 bits per hour.

3. Convert bits to bytes:

   • 3,774,873,600 bits per hour ÷ 8 = 471,859,200 bytes per hour.

4. Convert bytes to Gibibytes:

   • 471,859,200 bytes per hour ÷ 1,073,741,824 = 0.4394 Gibibytes per hour (approximately).

Base 10 Calculation:

In the base 10 system:

1. Convert Mebibits to bits:

   • 1 Megabit (base 10) per second = 1,000,000 bits per second. (Note: In base 10, Mebibit and Megabit are often used interchangeably concerning 10^6 and 2^20 respectively, but here it's staying consistent with SI usage).

2. Convert bits per second to bits per hour:

   • 1,000,000 bits per second * 3600 seconds = 3,600,000,000 bits per hour.

3. Convert bits to bytes:

   • 3,600,000,000 bits per hour ÷ 8 = 450,000,000 bytes per hour.

4. Convert bytes to Gigabytes:

   • 450,000,000 bytes per hour ÷ 1,000,000,000 (since 1 Gigabyte in base 10 is 10^9 bytes) = 0.45 Gigabytes per hour.

Real-world Examples:

1. 5 Mebibits per second:

   • Base 2:
     • 5 Mebibits per second * 0.4394 GiB per hour provided per Mebibit = 2.197 GiB per hour.
   • Base 10:
     • 5 Mebibits per second * 0.45 GB per hour provided per Mebibit = 2.25 GB per hour.

2. 10 Mebibits per second:

   • Base 2:
     • 10 Mebibits per second * 0.4394 GiB per hour = 4.394 GiB per hour.
   • Base 10:
     • 10 Mebibits per second * 0.45 GB per hour = 4.5 GB per hour.

3. 50 Mebibits per second:

   • Base 2:
     • 50 Mebibits per second * 0.4394 GiB per hour = 21.97 GiB per hour.
   • Base 10:
     • 50 Mebibits per second * 0.45 GB per hour = 22.5 GB per hour.

These conversions and examples help in understanding data transfer and storage in different systems and real-world applications such as network speeds, data backup times, and streaming data rates.