Mebibytes per hour to Gibibits per second conversion

How to convert mebibytes per hour to gibibits per second?

To convert from Mebibytes per hour (MiB/h) to Gibibits per second (Gib/s), you need to understand the units and the relationships between them.

1. Understanding Units:

   • Mebibyte (MiB): 1 Mebibyte = 2^20 bytes = 1,048,576 bytes.
   • Gibibit (Gib): 1 Gibibit = 2^30 bits = 1,073,741,824 bits.
   • Seconds per Hour: 1 hour = 3600 seconds.

2. Conversion:

   • Step 1: Convert 1 MiB to bytes. 1 MiB = 1,048,576 bytes.

   • Step 2: Convert bytes to bits. 1 byte = 8 bits. 1 MiB = 1,048,576 bytes * 8 bits/byte = 8,388,608 bits.

   • Step 3: Convert bits to Gibibits. 1 Gibibit = 1,073,741,824 bits. 8,388,608 bits = 8,388,608 / 1,073,741,824 Gibibits ≈ 0.0078125 Gibibits (Gib).

   • Step 4: Convert per hour to per second. Mebibytes per hour is understood to be a rate, so 1 MiB/h = 0.0078125 Gibibits/h

     Now, since 1 hour = 3600 seconds, 0.0078125 Gibibits per hour * (1 hour / 3600 seconds) = 0.0078125 / 3600 ≈ 2.1701e-6 Gibibits per second (Gib/s)

   This is the conversion using base 2 (binary units).

Base 10 (decimal units) conversion:

• Megabyte (MB): 1 Megabyte = 10^6 bytes = 1,000,000 bytes.
• Gigabit (Gb): 1 Gigabit = 10^9 bits.

Let's do the conversion:

• Step 1: Convert 1 MB to bytes. 1 MB = 1,000,000 bytes.

• Step 2: Convert bytes to bits. 1 byte = 8 bits. 1 MB = 1,000,000 bytes * 8 bits/byte = 8,000,000 bits.

• Step 3: Convert bits to Gigabits. 1 Gigabit = 1,000,000,000 bits. 8,000,000 bits = 8,000,000 / 1,000,000,000 Gigabits = 0.008 Gigabits (Gb).

• Step 4: Convert per hour to per second. 1 MB/h = 0.008 Gb/h

  Convert per second: 0.008 Gb/h / 3600 seconds ≈ 2.2222e-6 Gigabits per second (Gb/s)

In summary:

• 1 MiB/h ≈ 2.1701e-6 Gib/s (base 2)
• 1 MB/h ≈ 2.2222e-6 Gb/s (base 10)

Real-World Examples:

1. Streaming Services: A streaming video service might use around 1 MiB/s for standard-definition video. Converted to MiB/h: 1 MiB/s * 3600 seconds/hour = 3600 MiB/h.

   • 3600 MiB/h ≈ 7.8125 × 10^-3 Gib/s = 0.0078125 Gib/s in base 2.
   • 3600 MB/h ≈ 8.000 × 10^-3 Gb/s = 0.008 Gb/s in base 10.

2. Internet Speed: Average internet speeds might be around 50 Mb/s. To find the data transfer in MiB/h: 50 Mb/s * 3600 seconds/hour / 8 bits/byte / 1,048,576 bytes/MiB ≈ 21.5 MiB/h.

   • 21.5 MiB/h ≈ 4.656 × 10^-5 Gib/s in base 2.
   • 21.5 MB/h ≈ 4.722 × 10^-5 Gb/s in base 10.

These examples provide a practical understanding of how data transfer rates scale and how converting these units can help in real-world calculations.