Gibibits per month to Gigabits per hour conversion

How to convert gibibits per month to gigabits per hour?

To convert Gibibits per month (Gib/month) to Gigabits per hour (Gb/hour), you need to consider both the time unit conversion and the difference between binary (base 2) and decimal (base 10) prefixes.

Step-by-Step Conversion:

1. Convert the time unit from months to hours:

   • There are 24 hours in a day.
   • There are approximately 30.44 days in a month (since a year has 365.25 days and divided by 12 months).

2. Convert Gibibits to Gigabits:

   • For base 2, 1 Gibibit (Gib) = 1,024 Mebibits (Mib).
   • For base 10, 1 Gigabit (Gb) = 1,000 Megabits (Mb).

Let's look at the two different conversions—one for base 2 (binary prefixes) and one for base 10 (decimal prefixes).

Base 2 Conversion

1. Convert 1 Gib/month to Meb/month:

   • 1 Gib = 1,024 Mib.

2. Convert months to hours:

   • 1 month = 30.44 days ≈ 30.44 days/month.
   • 30.44 days/month * 24 hours/day ≈ 730.56 hours/month.

3. Convert Mib/month to Mib/hour:

   • (1,024 Mib/month) / (730.56 hours/month) ≈ 1.4015 Mib/hour.

4. Convert Mib/hour to Gigabits/hour (Note: 1 Gib = 1,024 Mib, and 1 Gb = 1,000 Mb):

   • 1.4015 Mib/hour * (1024 Kib/Mib) * (1 Mb/1024 Kib) / (1000 Mb/Gb) ≈ 1.4015 / 1 ≈ 1.4015 Gb/hour.

Base 10 Conversion

1. Convert Gib to Gb directly:

   • 1 Gib = 1.073741824 Gb (since 1 Gib = 1,024 Mi, 1 Mi = 1.048576 Mb, and 1 Gb = 1,000 Mb).

2. Convert months to hours:

   • 1 month = 730.56 hours (as computed earlier).

3. Convert Gib/month to Gb/hour:

   • (1.073741824 Gb/month) / (730.56 hours/month) ≈ 0.00147 Gb/hour.

Real-world Examples

100 Gib/month

• Base 2:

  • 100 Gib/month = 1,02400 Mib/month.
  • 102400 Mib/month / 730.56 = 140.15 Mib/hour.
  • 140.15 Mib/hour = 140.15 / 1 = 140.15 Gb/hour.

• Base 10:

  • 100 Gib/month = 107.3741824 Gb/month.
  • 107.3741824 Gb/month / 730.56 hours/month ≈ 0.147 Gb/hour.

500 Gib/month

• Base 2:

  • 500 Gib/month = 512000 Mib/month.
  • 512000 Mib/month / 730.56 = 701.15 Mib/hour.
  • 701.15 Mib/hour = 701.15 / 1 = 701.15 Gb/hour.

• Base 10:

  • 500 Gib/month = 536.870912 Gb/month.
  • 536.870912 Gb/month / 730.56 hours/month ≈ 0.735 Gb/hour.

1,000 Gib/month

• Base 2:

  • 1000 Gib/month = 1,024000 Mib/month.
  • 1,024000 Mib/month / 730.56 = 1402.15 Mib/hour.
  • 1402.15 Mib/hour = 1402.15 / 1 = 1402.15 Gb/hour.

• Base 10:

  • 1000 Gib/month = 1073.741824 Gb/month.
  • 1073.741824 Gb/month / 730.56 hours/month ≈ 1.47 Gb/hour.

In summary, converting 1 Gib/month to Gb/hour differs between base 2 and base 10 due to the differing definitions of "Gibi" and "Giga." The conversion involves changing the time unit first and then adjusting for the size unit differences.