Mebibits per minute to Gigabytes per day conversion

How to convert mebibits per minute to gigabytes per day?

To convert 1 Mebibit per minute (Mib/min) to Gigabytes per day (GB/day), you can follow these steps. Calculations will be provided both for base-2 (binary) and base-10 (decimal) conversions, as they differ slightly due to different definitions of Mebi- and Giga-.

Base-2 (Binary) Conversion:

1 Mebibit (Mib) = $2^{20}$ bits = 1,048,576 bits.

• Step 1: Convert Mebibits per minute to bits per minute

  $1 \text{ Mib/min} = 1,048,576 \text{ bits/min}$

• Step 2: Convert bits per minute to bits per day

  Since there are 1440 minutes in a day:

  $1,048,576 \text{ bits/min} \times 1440 \text{ min/day} = 1,509,949,440 \text{ bits/day}$

• Step 3: Convert bits per day to bytes per day

  1 byte = 8 bits:

  $1,509,949,440 \text{ bits/day} \div 8 = 188,743,680 \text{ bytes/day}$

• Step 4: Convert bytes per day to Gibibytes (Gib) per day

  1 Gibibyte = $2^{30}$ bytes = 1,073,741,824 bytes:

  $188,743,680 \text{ bytes/day} \div 1,073,741,824 \text{ bytes/Gib} \approx 0.175534 \text{ Gib/day}$

Final Result (Base-2):

1 Mebibit per minute ≈ 0.175534 Gibibytes per day.

Base-10 (Decimal) Conversion:

1 Megabit = $10^6$ bits = 1,000,000 bits.

• Step 1: Convert Megabits per minute to bits per minute

  $1 \text{ Mb/min} = 1,000,000 \text{ bits/min}$

• Step 2: Convert bits per minute to bits per day

  Since there are 1440 minutes in a day:

  $1,000,000 \text{ bits/min} \times 1440 \text{ min/day} = 1,440,000,000 \text{ bits/day}$

• Step 3: Convert bits per day to bytes per day

  1 byte = 8 bits:

  $1,440,000,000 \text{ bits/day} \div 8 = 180,000,000 \text{ bytes/day}$

• Step 4: Convert bytes per day to Gigabytes (GB) per day

  1 Gigabyte = $10^9$ bytes = 1,000,000,000 bytes:

  $180,000,000 \text{ bytes/day} \div 1,000,000,000 \text{ bytes/GB} = 0.18 \text{ GB/day}$

Final Result (Base-10):

1 Megabit per minute = 0.18 Gigabytes per day.

Real-World Examples for Mebibits per Minute

• Example 1: An HD video stream

  If you are streaming an HD video at 10 Mebibits per minute:

  • In base-2, it would be $10 \times 0.175534 \approx 1.75534$ Gib/day.
  • In base-10, it would be $10 \times 0.18 = 1.8$ GB/day.

• Example 2: Downloading files

  If you're downloading files at a speed of 5 Mebibits per minute:

  • In base-2, it would be $5 \times 0.175534 \approx 0.87767$ Gib/day.
  • In base-10, it would be $5 \times 0.18 = 0.9$ GB/day.

These conversions help you understand bandwidth usage over different timeframes and can be crucial for managing data plans and internet usage.