Megabytes per second to Gibibits per day conversion

How to convert megabytes per second to gibibits per day?

To convert 1 Megabyte per second (MBps) to Gibibits per day, we'll follow these steps. We'll consider both base 10 (decimal) and base 2 (binary) conversions and explain the differences.

Base 10 (Decimal) Conversion

1. Convert MBps to Megabits per second (Mbps):

1 Megabyte (MB) = 8 Megabits (Mb)

So, 1 MBps = 8 Mbps

2. Convert Megabits per second (Mbps) to Megabits per day:

There are 86,400 seconds in a day (24 hours * 60 minutes * 60 seconds).

8 Mbps * 86,400 seconds = 691,200 Megabits per day (Mb/day)

3. Convert Megabits per day to Gibibits per day:

In the decimal system: 1 Megabit = 1,000,000 bits 1 Gibibit (GiBi) = 1,000,000,000 bits

So, 1 Megabit = 0.000001 Gibibits (GiBi)

691,200 Mb/day * 0.000001 = 0.6912 GiBi/day

Base 2 (Binary) Conversion

1. Convert MBps to Megabits per second (Mbps):

1 Megabyte (MB) = 8 Megabits (Mb)

So, 1 MBps = 8 Mbps

2. Convert Megabits per second (Mbps) to Megabits per day:

8 Mbps * 86,400 seconds = 691,200 Megabits per day (Mb/day)

3. Convert Megabits per day to Gibibits per day:

In the binary system: 1 Megabit = 2^20 bits = 1,048,576 bits 1 Gibibit (GiBi) = 2^30 bits = 1,073,741,824 bits

So, 1 Megabit = 1,048,576 bits 691,200 Megabits = 691,200 * 1,048,576 bits = 725,614,592,000 bits

1 Gibibit = 1,073,741,824 bits

So, 725,614,592,000 bits / 1,073,741,824 = 676.9375 GiBi/day

Summary:

• Base 10 conversion: 1 MBps ≈ 0.6912 GiBi/day
• Base 2 conversion: 1 MBps ≈ 676.9375 GiBi/day

Real-World Examples for Other Quantities

10 MBps:

• Base 10: 10 MBps ≈ 6.912 GiBi/day
• Base 2: 10 MBps ≈ 6769.375 GiBi/day

100 MBps:

• Base 10: 100 MBps ≈ 69.12 GiBi/day
• Base 2: 100 MBps ≈ 67693.75 GiBi/day

In practical terms:

• Streaming: A 5 MBps connection can stream HD videos. Converting this to GiBi for a full day:

  • Base 10: 5 MBps ≈ 3.456 GiBi/day
  • Base 2: 5 MBps ≈ 3384.6875 GiBi/day

• Large File Transfers: Transferring files at 50 MBps for 24 hours gives:

  • Base 10: 50 MBps ≈ 34.56 GiBi/day
  • Base 2: 50 MBps ≈ 33846.875 GiBi/day

Understanding these conversions helps in evaluating data transfer speeds and storage requirements over extended periods.