Gigabytes per day to Gigabytes per second conversion

How to convert gigabytes per day to gigabytes per second?

To convert from Gigabytes per day (GB/day) to Gigabytes per second (GB/s), you'll need to take into account the number of seconds in a day. There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute. So, the total number of seconds in a day is:

$24 \text{ hours/day} \times 60 \text{ minutes/hour} \times 60 \text{ seconds/minute} = 86,400 \text{ seconds/day}$

To convert 1 Gigabyte per day to Gigabytes per second (GB/s), you divide by the number of seconds in a day:

$\frac{1 \text{ GB/day}}{86,400 \text{ seconds/day}} \approx 1.157407 \times 10^{-5} \text{ GB/s}$

Differentiation Between Base 10 and Base 2

In computing, data sizes are often represented in two different bases: base 10 (decimal) and base 2 (binary).

• Base 10 (Decimal):
  • 1 Gigabyte (GB) = 1,000,000,000 bytes
• Base 2 (Binary):
  • 1 Gibibyte (GiB) = 1,073,741,824 bytes

Using Base 10 (Decimal):

$1 \text{ GB/day} \text{ (decimal)} = 1,000,000,000 \text{ bytes/day}$

$\frac{1,000,000,000 \text{ bytes/day}}{86,400 \text{ seconds/day}} \approx 11,574.074 \text{ bytes/second}$

Since there are $10^9$ bytes in $1$ Gigabyte,

$\frac{11,574.074 \text{ bytes/second}}{10^9 \text{ bytes/GB}} \approx 1.157407 \times 10^{-5} \text{ GB/s}$

This confirms our earlier base 10 calculation, which is approximately $1.157407 \times 10^{-5}$ GB/s.

Using Base 2 (Binary):

$1 \text{ GiB/day} \text{ (binary)} = 1,073,741,824 \text{ bytes/day}$

$\frac{1,073,741,824 \text{ bytes/day}}{86,400 \text{ seconds/day}} \approx 12,417.864 \text{ bytes/second}$

Since there are $2^{30}$ bytes in 1 Gibibyte,

$\frac{12,417.864 \text{ bytes/second}}{2^{30} \text{ bytes/GiB}} = \frac{12,417.864 \text{ bytes/second}}{1,073,741,824 \text{ bytes/GiB}} \approx 1.156 \times 10^{-5} \text{ GiB/s}$

Real World Examples for Other Quantities

Let's explore a couple of real-world examples where different quantities are transferred per day and convert them to Gigabytes per second.

1. 5 GB/day (base 10): $\frac{5 \text{ GB/day}}{86,400 \text{ seconds/day}} \approx 5.787 \times 10^{-5} \text{ GB/s}$

2. 100 GB/day (base 10): $\frac{100 \text{ GB/day}}{86,400 \text{ seconds/day}} \approx 0.001157 \text{ GB/s}$

3. 1 TiB/day (base 2): $1 \text{ TiB} = 1024 \text{ GiB}$ So, convert $1024 \text{ GiB/day}$: $\frac{1024 \text{ GiB/day}}{86,400 \text{ seconds/day}} \approx 0.01186 \text{ GiB/s}$

These conversions can help give context to how much data is being moved in a more instantaneous scale. For example, streaming 100 GB/day is equivalent to about 0.001157 GB/s, which might be the data rate handled by some high-speed network connections.