Megabytes per hour to Mebibits per second conversion

How to convert megabytes per hour to mebibits per second?

To convert 1 Megabyte per hour (MB/h) to Mebibits per second (Mibit/s), we'll need to go through the following steps:

1. Convert Megabytes to Megabits:

   • 1 Megabyte (MB) = 8 Megabits (Mb).

2. Convert hours to seconds:

   • 1 hour = 3600 seconds.

3. Convert Megabits to Mebibits (for base 2):

   • Base 10: 1 Megabit (Mb) = 1 Megabit.
   • Base 2: 1 Megabit (Mb) = $10^6$ bits and 1 Mebibit (Mibit) = $2^{20}$ = 1,048,576 bits.

Let's start with base 10 (since it's simpler):

Base 10 Calculation:

1. Convert 1 MB to Mb: $1 \text{ MB} = 8 \text{ Mb}$

2. Convert Mb per hour to Mb per second: $8 \text{ Mb} \text{ per hour} = \frac{8 \text{ Mb}}{3600 \text{ seconds}}$

3. Calculate: $\frac{8 \text{ Mb}}{3600 \text{ seconds}} = \frac{8}{3600} \text{ Mb/second} \approx 0.00222 \text{ Mb/second}$

Since 1 Megabit (Mb) = 1 Megabit: $0.00222 \text{ Mb/second} = 0.00222 \text{ Megabit/second}$

Base 2 Calculation:

1. Convert Mb to Mibit:
   • Using the conversion $1 \text{ Megabit} = \frac{10^6 \text{ bits}}{2^{20} \text{ bits/Mibit}} \approx 0.95367 \text{ Mibit}$

So, $1 \text{ MB} = 8 \text{ Mb} = 8 \times 0.95367 \text{ Mibit} \approx 7.62936 \text{ Mibit}$

2. Convert Mibit per hour to Mibit per second: $7.62936 \text{ Mibit per hour} = \frac{7.62936 \text{ Mibit}}{3600 \text{ seconds}}$

3. Calculate: $\frac{7.62936 \text{ Mibit}}{3600 \text{ seconds}} \approx 0.00212 \text{ Mibit/second}$

Summary:

• Base 10: $1 \text{ MB/h} \approx 0.00222 \text{ Mb/s}$
• Base 2: $1 \text{ MB/h} \approx 0.00212 \text{ Mibit/s}$

Real World Examples:

1. Streaming Audio: A typical high-quality streaming service may use around 320 kbps (kilobits per second). Converting this to MB/h:

   • 320 kbps = 0.32 Mbps (Megabits per second).
   • In terms of Megabytes, this would be $\frac{0.32 \text{ Mb}}{8} = 0.04 \text{ MB}$ per second.
   • Over an hour: $0.04 \text{ MB/s} \times 3600 \text{ s} = 144 \text{ MB/h}$.

2. Standard Definition (SD) Video Streaming: A standard definition (SD) video might require around 1 Mbps.

   • 1 Mbps = $\frac{1 \text{ Mb/s}}{8} = 0.125 \text{ MB/s}$.
   • Over an hour: $0.125 \text{ MB/s} \times 3600 \text{ s} = 450 \text{ MB/h}$.

3. Web Browsing: Light to medium web browsing might use around 20 MB per hour.

   • 20 MB/h in base-2:
     • Convert MB to Mibit: $20 \text{ MB} \times 8 \times 0.95367 \approx 152.5872 \text{ Mibit}$.
     • Convert to Mibit/s: $\frac{152.5872 \text{ Mibit}}{3600 \text{ s}} \approx 0.0423 \text{ Mibit/s}$.

These examples demonstrate how data usage in everyday activities can be calculated and give a sense of the scale of data transfer rates.