Gigabits per second to Mebibytes per minute conversion

How to convert gigabits per second to mebibytes per minute?

To convert 1 Gigabit per second (Gbps) to Mebibytes per minute (MiB/min), we need to follow a multi-step process involving several conversions. We need to consider both base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal) Conversion:

1. Gigabits to Bits: 1 Gigabit (Gb) = 10^9 bits

2. Bits to Bytes: 1 Byte = 8 bits

   Therefore, 1 Gigabit = 10^9 bits / 8 = 125,000,000 Bytes

3. Bytes to Megabytes: 1 Megabyte (MB) = 10^6 Bytes

   Therefore, 125,000,000 Bytes = 125 MB

4. Megabytes to Mebibytes (this step bypasses converting to Mebibytes directly, since we're considering the decimal system for simplicity):

   Let's get the value per second first, and then convert it to per minute:

   • Therefore, 1 Gigabit per second (Gbps) = 125 Megabytes per second (MB/s).
   • Now, convert it to per minute: 125 MB/s × 60 seconds = 7500 MB/min.

5. Finally, we should understand that 7500 MB (base 10) ≠ 7500 MiB (base 2). Therefore, converting 7500 MB to MiB using 1 MiB = 1024^2 Bytes (which we'll do in the next section).

Base 2 (Binary) Conversion:

1. Gigabits to Bits: 1 Gigabit (Gb) = 1,000,000,000 (10^9) bits

2. Bits to Bytes: 1 Byte = 8 bits

   Therefore, 1 Gigabit = 125,000,000 Bytes

3. Bytes to Mebibytes: 1 Mebibyte (MiB) = 2^20 Bytes = 1,048,576 Bytes

   Therefore, 125,000,000 Bytes / 1,048,576 = 119.209 MiB

4. Per second to per minute:

   • 1 Gbps = 119.209 MiB/s
   • 119.209 MiB/s × 60 seconds = 7,152.54 MiB/min

Comparison:

• Base 10 (Decimal): 1 Gbps = 7500 MB/min
• Base 2 (Binary): 1 Gbps = 7152.54 MiB/min

Real-World Examples for Other Quantities of Gbps:

1. 100 Mbps (Megabits per second) Internet Connection:

   • Base 10: 100 Mbps = 12.5 MB/s, so 12.5 MB/s × 60 seconds = 750 MB/min
   • Base 2: 100 Mbps = 12.5 MB/s ≈ 11.44 MiB/s, so 11.44 MiB/s × 60 seconds = 686.4 MiB/min

2. 10 Gbps (Gigabits per second) Network Link:

   • Base 10: 10 Gbps = 1250 MB/s, so 1250 MB/s × 60 seconds = 75,000 MB/min
   • Base 2: 10 Gbps = 1250 MB/s ≈ 1192.09 MiB/s, so 1192.09 MiB/s × 60 seconds = 71,525.4 MiB/min

3. 500 Mbps (Megabits per second) Fiber Internet:

   • Base 10: 500 Mbps = 62.5 MB/s, so 62.5 MB/s × 60 seconds = 3750 MB/min
   • Base 2: 500 Mbps = 62.5 MB/s ≈ 59.604 MiB/s, so 59.604 MiB/s × 60 seconds = 3,576.24 MiB/min

These conversions help you see the impact of using different base systems and how they translate to real-world applications like Internet speeds and network links.