Gibibits per second to Megabits per day conversion

How to convert gibibits per second to megabits per day?

To convert 1 Gibibit per second (Gib/s or Gibps) to Megabits per day (Mb/day), you need to understand the relationship between these units in both base 2 (binary) and base 10 (decimal).

Base 2 (Binary)

1 Gibibit (Gib) = 2^30 bits 1 Megabit (Mb) = 2^20 bits

Thus, to convert 1 Gibibit per second (Gib/s) to Megabits per second (Mb/s) in base 2, use:

$\text{1 Gib/s} = \frac{2^{30} \text{ bits}}{2^{20} \text{ bits}} \text{ per second} = 2^{10} \text{ Mb/s} = 1024 \text{ Mb/s}$

Then, you need to scale this up from seconds to days. There are 86400 seconds in a day (60 seconds/minute * 60 minutes/hour * 24 hours/day).

$\text{1024 Mb/s * 86400 s/day} = 88,473,600 \text{ Mb/day}$

So, in base 2:

$\text{1 Gib/s} = 88,473,600 \text{ Mb/day}$

Base 10 (Decimal)

1 Gibibit (Gib) = 1,073,741,824 bits 1 Megabit (Mb) = 1,000,000 bits

Thus, to convert 1 Gibibit per second (Gib/s) to Megabits per second (Mb/s) in base 10, use:

$\text{1 Gib/s} = \frac{1,073,741,824 \text{ bits}}{1,000,000 \text{ Mb/s}} = 1,073.741824 \text{ Mb/s}$

Then scale this up from seconds to days:

$\text{1,073.741824 Mb/s * 86400 s/day} = 92,233,720.832 \text{ Mb/day}$

So, in base 10:

$\text{1 Gib/s} = 92,233,720.832 \text{ Mb/day}$

Real-World Examples for Other Quantities of Gibibits per Second

5 Gibibits per second

Base 2: $5 \text{ Gib/s} = 5 \times 1024 \text{ Mb/s} = 5120 \text{ Mb/s}$ $5120 \text{ Mb/s} \times 86400 \text{ s/day} = 442,368,000 \text{ Mb/day}$

Base 10: $5 \text{ Gib/s} = 5 \times 1,073.741824 \text{ Mb/s} = 5368.70912 \text{ Mb/s}$ $5368.70912 \text{ Mb/s} \times 86400 \text{ s/day} = 461,168,604.16 \text{ Mb/day}$

10 Gibibits per second

Base 2: $10 \text{ Gib/s} = 10 \times 1024 \text{ Mb/s} = 10240 \text{ Mb/s}$ $10240 \text{ Mb/s} \times 86400 \text{ s/day} = 884,736,000 \text{ Mb/day}$

Base 10: $10 \text{ Gib/s} = 10 \times 1,073.741824 \text{ Mb/s} = 10737.41824 \text{ Mb/s}$ $10737.41824 \text{ Mb/s} \times 86400 \text{ s/day} = 922,337,209.92 \text{ Mb/day}$

These examples illustrate how the conversion factors differ between the binary and decimal systems, affecting the final values for data transfer rates over extended periods.