Megabits per minute to Gigabytes per day conversion

How to convert megabits per minute to gigabytes per day?

To convert 1 Megabit per minute (Mbps) to Gigabytes per day (GB/day), we need to follow a few steps.

First, understand the units involved:

• 1 Megabit (Mb) = $10^6$ bits (base 10)
• There are 60 minutes in an hour and 24 hours in a day.

Conversion Steps:

1. Convert Megabits per minute to Megabits per hour: $1 \text{ Mb/min} \times 60 \text{ min/hour} = 60 \text{ Mb/hour}$

2. Convert Megabits per hour to Megabits per day: $60 \text{ Mb/hour} \times 24 \text{ hours/day} = 1440 \text{ Mb/day}$

3. Convert Megabits to Gigabits: $1440 \text{ Mb/day} \div 1000 = 1.44 \text{ Gb/day}$

4. Convert Gigabits to Gigabytes: $\text{Base 10: } 1.44 \text{ Gb/day} \div 8 = 0.18 \text{ GB/day}$ $\text{Base 2: } 1.44 \text{ Gb/day} \div 8 \times \left(\frac{1}{1024 \div 1000}\right) \approx 0.16796875 \text{ GiB/day}$

Here's a summary of the final results:

• Base 10 (Decimal): 1 Megabit per minute ≈ 0.18 Gigabytes per day.
• Base 2 (Binary): 1 Megabit per minute ≈ 0.16796875 Gibibytes per day. (Note: This simplification includes the factor conversion from bits to bytes which is consistent in both measures but the ending scale is more common converted back to base 10 as earlier, 0.18)

Real World Examples:

5 Mbps

Let's perform similar conversions:

• 5 Mb/min × 60 min/hour = 300 Mb/hour.
• 300 Mb/hour × 24 hours/day = 7200 Mb/day.
• Base 10 (Decimal): 7200 Mb/day ÷ 1000 (Mb/Gb) ÷ 8 (bits/byte) ≈ 0.9 GB/day.
• Base 2 (Binary): 7200 Mb/day ÷ 8 ≈ 900 MiB/day -> 900/1024 (MiB/GiB) ≈ 0.8789 GiB/day.

50 Mbps

• 50 Mb/min × 60 min/hour = 3000 Mb/hour.
• 3000 Mb/hour × 24 hours/day = 72000 Mb/day.
• Base 10 (Decimal): 72000 Mb/day ÷ 1000 ÷ 8 ≈ 9 GB/day.
• Base 2 (Binary): 72000 Mb/day ÷ 8 ≈ 9000 MiB/day -> 9000/1024 ≈ 8.789 GiB/day.

1000 Mbps (which is 1 Gbps)

• 1000 Mb/min × 60 min/hour = 60000 Mb/hour.
• 60000 Mb/hour × 24 hours/day = 1440000 Mb/day.
• Base 10 (Decimal): 1440000 Mb/day ÷ 1000 ÷ 8 = 180 GB/day.
• Base 2 (Binary): 1440000 Mb/day ÷ 8 ≈ 180000 MiB/day -> 180000/1024 ≈ 175.78 GiB/day.

The above examples showcase varying amounts of data throughput converted to Gigabytes or Gibibytes per day, with differences arising from the base 10 and base 2 unit conversions.