Mebibits per second to Gibibytes per day conversion

How to convert mebibits per second to gibibytes per day?

To convert Mebibits per second (Mibps) to Gibibytes per day (GiB/day), we need to understand the relationship between these units.

Conversion Steps:

1. Convert Mebibits to Mebibytes:

   • 1 mebibit (Mibit) = 1/8 mebibytes (MiB) because there are 8 bits in a byte.

2. Convert seconds to days:

   • 1 day = 24 hours
   • 1 hour = 60 minutes
   • 1 minute = 60 seconds
   • Therefore, 1 day = 24 * 60 * 60 = 86,400 seconds

3. Convert Mebibytes to Gibibytes (because 1 Gibibyte = 1024 Mebibytes in base 2 and 1 Gibibyte ≈ 1000 Mebibytes in base 10).

Below are the conversions using both base 2 and base 10.

Base 10 Conversion:

1. Mebibits to Mebibytes:

   • 1 Mibit/s = 1/8 MiB/s = 0.125 MiB/s

2. Multiply by the number of seconds in a day:

   • $0.125 \text{ MiB/s} \times 86400 \text{ s/day} = 10800 \text{ MiB/day}$

3. Convert Mebibytes to Gibibytes using base 10 (1 GiB ≈ 1000 MiB):

   • $10800 \text{ MiB/day} \div 1000 = 10.8 \text{ GiB/day}$

Base 2 Conversion:

1. Mebibits to Mebibytes:

   • 1 Mibit/s = 1/8 MiB/s = 0.125 MiB/s

2. Multiply by the number of seconds in a day:

   • $0.125 \text{ MiB/s} \times 86400 \text{ s/day} = 10800 \text{ MiB/day}$

3. Convert Mebibytes to Gibibytes using base 2 (1 GiB = 1024 MiB):

   • $10800 \text{ MiB/day} \div 1024 = 10.546875 \text{ GiB/day}$

Summary:

• Base 10: 1 Mibps = 10.8 GiB/day
• Base 2: 1 Mibps = 10.546875 GiB/day

Real World Examples:

1. Streaming Services:

   • Netflix recommends a speed of at least 3 megabits per second (Mbps) for SD quality video. Suppose someone is streaming at 3 Mbps:
     • 3 Mbps = 3 * 0.125 MiB/s = 0.375 MiB/s
     • $0.375 \text{ MiB/s} \times 86400 \text{ s/day} = 32400 \text{ MiB/day}$
     • $32400 \text{ MiB/day} \div 1024 = 31.640625 \text{ GiB/day}$ (base 2)
     • $32400 \text{ MiB/day} \div 1000 = 32.4 \text{ GiB/day}$ (base 10)

2. Internet Speed:

   • If you have an internet connection of 50 MiB/s, the calculation would be:
     • 50 MiB/s = 50 * 0.125 MiB/s = 6.25 MiB/s
     • $6.25 \text{ MiB/s} \times 86400 = 540000 \text{ MiB/day}$
     • $540000 \text{ MiB/day} \div 1024 = 527.34375 \text{ GiB/day}$ (base 2)
     • $540000 \text{ MiB/day} \div 1000 = 540 \text{ GiB/day}$ (base 10)

3. Network Data Transmission:

   • A company transmits data at 500 Mibps.
     • 500 Mibps = 500 * 0.125 MiB/s = 62.5 MiB/s
     • $62.5 \text{ MiB/s} \times 86400 = 5400000 \text{ MiB/day}$
     • $5400000 \text{ MiB/day} \div 1024 = 5273.4375 \text{ GiB/day}$ (base 2)
     • $5400000 \text{ MiB/day} \div 1000 = 5400 \text{ GiB/day}$ (base 10)

Each of these real-world examples can help illustrate how different quantities of Mebibits per second translate into Gibibytes per day using either base 2 or base 10 calculations.