Gigabits per second to Mebibytes per hour conversion

How to convert gigabits per second to mebibytes per hour?

Certainly! Converting 1 Gigabit per second (Gbps) to Mebibytes per hour (MiB/h) involves a few steps, and you'll need to be aware of the differences between base 10 and base 2 calculations. Let's walk through both conversions.

Base 10 Conversion (Decimal)

1. Convert Gigabits to Megabits: $1 \text{ Gbps} = 1000 \text{ Mbps}$

2. Convert Megabits to Megabytes: $1000 \text{ Mbps} / 8 = 125 \text{ MBps}$ (Note: 8 bits = 1 byte).

3. Convert Megabytes per second to Megabytes per hour: $125 \text{ MBps} \times 3600 \text{ seconds/hour} = 450,000 \text{ MB/h}$

4. Convert Megabytes to Mebibytes: $450,000 \text{ MB} \times \left(\frac{1 \text{ MiB}}{1.048576 \text{ MB}}\right) \approx 429,687.5 \text{ MiB}$

So, 1 Gbps (base 10) is approximately 429,687.5 MiB/h.

Base 2 Conversion (Binary)

1. Convert Gigabits to Gibibits: $1 \text{ Gbps} = \left(\frac{1024 \text{ Mibps}}{1 \text{ Gbps}}\right) = 1024 \text{ Mibps}$

2. Convert Gibibits to Mebibytes: $1024 \text{ Mibps} / 8 = 128 \text{ MiBps}$

3. Convert Mebibytes per second to Mebibytes per hour: $128 \text{ MiBps} \times 3600 \text{ seconds/hour} = 460,800 \text{ MiB/h}$

So, 1 Gbps (base 2) is 460,800 MiB/h.

Real-World Examples

1 Gbps Internet Connection

• Base 10: $\approx 429,687.5 \text{ MiB/h}$
• Base 2: $460,800 \text{ MiB/h}$

Other Quantities

10 Gbps Internet Connection:

• Base 10: $10 \text{ Gbps} \approx 4,296,875 \text{ MiB/h}$
• Base 2: $10 \text{ Gbps} = 4,608,000 \text{ MiB/h}$

100 Mbps Internet Connection:

• Base 10:
  • $100 \text{ Mbps} = 100 \times 3600 / 8 \approx 45,000 \text{ MB}$
  • Convert to MiB: $45,000 / 1.048576 \approx 42,968.75 \text{ MiB/h}$
• Base 2:
  • $100 \text{ Mbps} = 100 / 8 = 12.5 \text{ MiBps}$
  • Convert to MiB per hour: $12.5 \times 3600 = 45,000 \text{ MiB/h}$

These conversions and examples should help to understand the differences between using base 10 (decimal) and base 2 (binary) calculations. It also shows how substantial data transfer can be at high Gigabit per second rates.