Gigabits per day to Mebibits per hour conversion

How to convert gigabits per day to mebibits per hour?

To convert 1 Gigabit per day (Gb/d) to Mebibits per hour (Mib/h), let's break the process down step by step. Note that there are differences in conversion based on whether you're using the base 10 (decimal) or base 2 (binary) system.

Base 10 (Decimal) Conversion:

1. Convert Gigabits to Megabits:

   • In base 10, 1 Gigabit (Gb) is equal to 1,000 Megabits (Mb).

2. Convert Days to Hours:

   • 1 day is equal to 24 hours.

3. Calculate Megabits per Hour: $1 \text{ Gb/day} = 1,000 \text{ Mb/day}$ To find the rate per hour: $1,000 \text{ Mb/day} \div 24 \text{ hours/day} = 41.67 \text{ Mb/hour}$

4. Convert Megabits to Mebibits:

   • In base 10, this step is not necessary as we remain in the same scale.

So, using the base 10 system: $1 \text{ Gb/day} = 41.67 \text{ Mb/hour}$

Base 2 (Binary) Conversion:

1. Convert Gigabits to Mebibits:

   • In base 2, 1 Gigabit (Gb) is equal to 1,024 Megabits (Mb).
   • And 1 Megabit (Mb) is equal to 1,024 Kilobits (Kib).
   • Finally, 1 Kilobit is equal to 1,024 bits.
   • Therefore, 1 Gigabit (Gb) is equal to 1,024 x 1,024 / 1,024 Mebibits (Mib).
   • So, 1 Gigabit (Gb) = 1,024 Mebibits (Mib).

2. Convert Days to Hours:

   • 1 day is equal to 24 hours.

3. Calculate Mebibits per Hour: $1 \text{ Gb/day} = 1,024 \text{ Mib/day}$ To find the rate per hour: $1,024 \text{ Mib/day} \div 24 \text{ hours/day} = 42.67 \text{ Mib/hour}$

So, using the base 2 system: $1 \text{ Gb/day} = 42.67 \text{ Mib/hour}$

Comparison:

• Base 10: 1 Gb/day = 41.67 Mb/hour
• Base 2: 1 Gb/day = 42.67 Mib/hour

Real-World Examples:

• 10 Gigabits per day:

  • Base 10: $10 \text{ Gb/day} = 416.7 \text{ Mb/hour}$
  • Base 2: $10 \text{ Gb/day} = 426.7 \text{ Mib/hour}$

• 100 Gigabits per day:

  • Base 10: $100 \text{ Gb/day} = 4166.67 \text{ Mb/hour}$
  • Base 2: $100 \text{ Gb/day} = 4266.67 \text{ Mib/hour}$

• 250 Gigabits per day:

  • Base 10: $250 \text{ Gb/day} = 10417 \text{ Mb/hour}$
  • Base 2: $250 \text{ Gb/day} = 10667.5 \text{ Mib/hour}$

Note: The choice between using base 10 and base 2 depends on context. In networking and telecommunications, base 10 is more commonly employed, whereas base 2 is more prevalent in computing and storage measurements.