Gibibits per day to bits per second conversion

How to convert gibibits per day to bits per second?

Certainly! Let's go through the conversion of 1 Gibibit per day (1 Gibibit/day) to bits per second, and discuss both base 2 and base 10 approaches.

Base 2 (Binary System)

1 Gibibit (Gib) is defined as $2^{30}$ bits because "gibi-" is a binary prefix.

1 Gibibit = $2^{30}$ bits = 1,073,741,824 bits

There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. Therefore, there are $24 \times 60 \times 60$ seconds in a day.

Seconds in a day = $24 \times 60 \times 60$ = 86,400 seconds

To convert 1 Gibibit per day to bits per second (bps):

$1 \text{ Gibibit/day} = \frac{1,073,741,824 \text{ bits}}{86,400 \text{ seconds}} \approx 12,429.45 \text{ bps}$

Base 10 (Decimal System)

For comparison, if you were using base 10 for gigabits (often used in networking contexts even though it's technically incorrect):

1 Gbit = $10^9$ bits = 1,000,000,000 bits

Using the same number of seconds in a day (86,400 seconds):

$1 \text{ Gbit/day} = \frac{1,000,000,000 \text{ bits}}{86,400 \text{ seconds}} \approx 11,574.07 \text{ bps}$

Summary

• 1 Gibibit/day (base 2) ≈ 12,429.45 bps
• 1 Gigabit/day (base 10) ≈ 11,574.07 bps

Real-world Examples

Streaming Video

• 10 Gibibits/day

  10 Gibibits can be converted similarly:

  $10 \text{ Gibibits/day} = \frac{10 \times 1,073,741,824 \text{ bits}}{86,400 \text{ seconds}} \approx 124,294.5 \text{ bps}$

  This is roughly equivalent to 124.3 kbps, useful for non-HD older methods of streaming video.

Large File Transfer

• 500 Gibibits/day

  $500 \text{ Gibibits/day} = \frac{500 \times 1,073,741,824 \text{ bits}}{86,400 \text{ seconds}} \approx 6,214,725 \text{ bps}$

  This is roughly equivalent to 6.21 Mbps, which is a moderate speed often used for consistently transferring large amounts of data over long distances in professional environments.

Server Backup Systems

• 1,000 Gibibits/day

  $1,000 \text{ Gibibits/day} = \frac{1,000 \times 1,073,741,824 \text{ bits}}{86,400 \text{ seconds}} \approx 12,429,450 \text{ bps}$

  Equivalent to approximately 12.43 Mbps, this could be a suitable rate for data backup for large servers or smaller data centers.

These examples help show the significance of these data transfer rates in different contexts.