Mebibits per hour to Megabytes per day conversion

How to convert mebibits per hour to megabytes per day?

To convert 1 Mebibit per hour to Megabytes per day, we need to understand the relationships between the different units of measurement and the different possible bases (base 10 and base 2).

Conversions and Relationships:

1 Mebibit (Mib) = 1,048,576 bits (base 2) 1 Megabit (Mb) = 1,000,000 bits (base 10) 1 Byte = 8 bits 1 hour = 60 minutes = 3600 seconds
1 day = 24 hours

Base 2 Calculations:

1. Convert Mebibits to bits: 1 Mib = 1,048,576 bits (since Mebi- uses binary prefix)

2. Convert bits per hour to bits per day: $1 \text{ Mib/hour} = 1,048,576 \text{ bits/hour}$
   $1,048,576 \text{ bits/hour} \times 24 \text{ hours/day} = 25,165,824 \text{ bits/day}$

3. Convert bits per day to Bytes per day: $25,165,824 \text{ bits/day} \div 8 \text{ bits/Byte} = 3,145,728 \text{ Bytes/day}$

4. Convert Bytes per day to Megabytes (Base 2) per day: 1 MebiByte (MiB) = 1,048,576 Bytes
   $3,145,728 \text{ Bytes/day} \div 1,048,576 \text{ Bytes/MiB} = 3 \text{ MiB/day}$

Base 10 Calculations:

1. Convert Mebibits to bits (use Megabit equivalent): 1 Mib ≠ 1 Mb, but to normalize let's assume base 10 for simplicity. 1 Mb = 1,000,000 bits

2. Convert bits per hour to bits per day: $1 \text{ Mb/hour} = 1,000,000 \text{ bits/hour}$ $1,000,000 \text{ bits/hour} \times 24 \text{ hours/day} = 24,000,000 \text{ bits/day}$

3. Convert bits per day to Bytes per day: $24,000,000 \text{ bits/day} \div 8 \text{ bits/Byte} = 3,000,000 \text{ Bytes/day}$

4. Convert Bytes per day to Megabytes (Base 10) per day: 1 Megabyte (MB) = 1,000,000 Bytes
   $3,000,000 \text{ Bytes/day} \div 1,000,000 \text{ Bytes/MB} = 3 \text{ MB/day}$

Summary:

When using base 2:

• 1 Mebibit per hour is equal to 3 Mebibytes per day.

When using base 10:

• 1 Mebibit per hour is approximately equal to 3 Megabytes per day.

Real-World Examples:

Now let's consider some real-world data transfer rates and their conversions:

1. Video Streaming: A 1080p HD video stream might be around 5 Mbps (Megabits per second).

   • Converting this to Mib/hour: $5 \text{ Mbps} \times 3600 \text{ seconds/hour} = 18,000,000 \text{ bits/hour} = 18 Mb/hour$ $18 \text{ Mb/hour} \approx 17.18 \text{ Mib/hour}$ (since 1 Mb = 0.95367 Mib)

2. Internet Plans: An average home internet plan might offer 100 Mbps.

   • Converting this to Mib/hour: $100 \text{ Mbps} \times 3600 \text{ seconds/hour} = 360,000,000 \text{ bits/hour}$ $360,000,000 \text{ bits/hour} \div (1,048,576 \text{ bits}/Mib) = 343.32 \text{ Mib/hour}$

3. 4G Mobile Network: A 4G LTE might offer around 50 Mbps on average.

   • Conversion: $50 \text{ Mbps} \times 3600 \text{ seconds/hour} = 180,000,000 \text{ bits/hour}$ $180,000,000 \text{ bits/hour} \div 1,048,576 = 171.66 \text{ Mib/hour}$

These conversions give you a clear understanding of how different data rates translate over time, emphasizing how significant the base (binary vs. decimal) impacts the calculations.