Megabits per day to Gigabytes per second conversion

How to convert megabits per day to gigabytes per second?

To convert 1 Megabit per day to Gigabytes per second, we need to go through a series of unit conversions:

1. Days to Seconds:

   • 1 day = 24 hours = 24 × 60 minutes = 24 × 60 × 60 seconds = 86400 seconds.

2. Megabits to Gigabits:

   • 1 Megabit = 1/1000 Gigabits (using base 10, or the metric system).

3. Gigabits to Gigabytes:

   • 1 Gigabit = 1/8 Gigabytes (since 1 Byte = 8 bits).

Base 10 (Decimal System)

Step-by-step Conversion:

1. Megabits per day to Gigabits per day: $\frac{1 \text{ Megabit}}{1000} = 0.001 \text{ Gigabits}$

2. Gigabits per day to Gigabytes per day: $0.001 \text{ Gigabits} \div 8 = 0.000125 \text{ Gigabytes}$

3. Gigabytes per day to Gigabytes per second: $\frac{0.000125 \text{ Gigabytes}}{86400 \text{ seconds}} \approx 1.448 \times 10^{-9} \text{ Gigabytes per second}$

Base 2 (Binary System)

Conversions using base 2:

1. Megabits to Gibibits:

   • 1 Megabit = $\frac{1}{1024}$ Mebibits.
   • Mebibits to Gibibits: $\frac{1}{1024}$ Gibibits.

2. Gibibits to Gibibytes:

   • 1 Gibibit = $\frac{1}{8}$ Gibibytes.

Step-by-step Conversion:

1. Megabits per day to Gibibits per day: $\frac{1 \text{ Megabit}}{1024} = \approx 0.0009766 \text{ Gibibits}$

2. Gibibits per day to Gibibytes per day: $0.0009766 \div 8 \approx 0.00012207 \text{ Gibibytes}$

3. Gibibytes per day to Gibibytes per second: $\frac{0.00012207}{86400} \approx 1.412 \times 10^{-9} \text{ Gibibytes per second}$

Real World Examples for Other Quantities of Megabits per Day

1. 100 Megabits per day:

   • Base 10: $100 \times 1.448 \times 10^{-9} \approx 1.448 \times 10^{-7} \text{ Gigabytes per second}$
   • Base 2: $100 \times 1.412 \times 10^{-9} \approx 1.412 \times 10^{-7} \text{ Gibibytes per second}$

2. 1000 Megabits per day (1 Gigabit per day):

   • Base 10: $1000 \times 1.448 \times 10^{-9} \approx 1.448 \times 10^{-6} \text{ Gigabytes per second}$
   • Base 2: $1000 \times 1.412 \times 10^{-9} \approx 1.412 \times 10^{-6} \text{ Gibibytes per second}$

3. 10,000 Megabits per day (10 Gigabits per day):

   • Base 10: $10000 \times 1.448 \times 10^{-9} \approx 1.448 \times 10^{-5} \text{ Gigabytes per second}$
   • Base 2: $10000 \times 1.412 \times 10^{-9} \approx 1.412 \times 10^{-5} \text{ Gibibytes per second}$

These examples illustrate how small these transfer rates are when measured in Gigabytes per second, highlighting the significant difference between large data transfer quantities measured in single days versus per second.