Mebibits per second to Mebibytes per hour conversion

How to convert mebibits per second to mebibytes per hour?

To convert 1 Mebibit per second (1 Mibps) to Mebibytes per hour (MiB/hour), we need to understand the relationship between Mebibits and Mebibytes and the time conversion factors.

Conversion Factors

1. Bits to Bytes:

   • 1 Byte = 8 bits

2. Mebibit to Mebibyte:

   • 1 Mebibit (Mib) = $2^{20}$ bits = 1,048,576 bits
   • 1 Mebibyte (MiB) = $2^{20}$ Bytes = 1,048,576 Bytes

3. Time Conversion:

   • 1 hour = 3600 seconds

Step-by-Step Conversion

1. Convert Mebibits to Bits: 1 Mibps = $1 \times 2^{20}$ bits per second $1 \text{ Mibps} = 1,048,576$ bits per second

2. Convert Bits to Bytes: $1 \text{ bit} = \frac{1}{8} \text{ Bytes}$ Therefore, $1 \text{ Mibps} = \frac{1,048,576 \text{ bits}}{8} = 131,072$ Bytes per second

3. Convert Bytes per Second to Mebibytes per Second: 1 Mebibyte (MiB) = $2^{20}$ Bytes = 1,048,576 Bytes $1 \text{ MiB} = 1,048,576 \text{ Bytes}$

   So, $131,072 \text{ Bytes per second} = \frac{131,072 \text{ Bytes}}{1,048,576} = 0.125 \text{ MiB per second}$

4. Convert Mebibytes per Second to Mebibytes per Hour: 1 hour = 3600 seconds Therefore, $0.125 \text{ MiB per second} \times 3600 \text{ seconds per hour} = 450 \text{ MiB per hour}$

Base 10 and Base 2 Comparison

In base 10, the terms would be different:

1. Megabits to Bits in base 10:

   • 1 Megabit (Mb) = 1,000,000 bits

2. Bits to Bytes:

   • 1 Byte = 8 bits
   • $1 \text{ Mb} = \frac{1,000,000 \text{ bits}}{8} = 125,000 \text{ Bytes per second}$

3. Convert Bytes per Second to Megabytes per Second:

   • 1 Megabyte (MB) = $10^6$ Bytes = 1,000,000 Bytes
   • $125,000 \text{ Bytes per second} = \frac{125,000 \text{ Bytes}}{1,000,000} = 0.125 \text{ MB per second}$

4. Convert Megabytes per Second to Megabytes per Hour:

   • $0.125 \text{ MB per second} \times 3600 \text{ seconds per hour} = 450 \text{ MB per hour}$

Here we see that with these conversions:

• Base 2: 1 Mebibit per second = 450 Mebibytes per hour
• Base 10: 1 Megabit per second = 450 Megabytes per hour

Real-World Examples

1. 10 Mibps:

   • $10 \text{ Mibps}\times 450 = 4500 \text{ MiB/hour}$
   • Context: Downloading a 4.5 GiB video file would take approximately 1 hour.

2. 20 Mibps:

   • $20 \text{ Mibps}\times 450 = 9000 \text{ MiB/hour}$
   • Context: Streaming a 9 GiB 4K movie.

3. 100 Mibps:

   • $100 \text{ Mibps}\times 450 = 45000 \text{ MiB/hour}$
   • Context: High-speed broadband used for downloading a large software suite of 45 GiB in an hour.

This conversion is useful in network speeds, data transfer tasks, and estimating download/upload times for various digital content based on internet speeds.