Mebibits per month to Bytes per hour conversion

How to convert mebibits per month to bytes per hour?

Certainly! To convert Mebibits per month (Mib/month) to Bytes per hour (B/hr), follow these steps:

1. Understand the units:

   • 1 Mebibit (Mib) = 2^20 bits = 1,048,576 bits.
   • 1 Byte (B) = 8 bits.

2. Determine the number of hours in a month:

   • There are, on average, 30.44 days in a month.
   • Therefore, the number of hours in a month is approximately 30.44 days * 24 hours/day = 730.56 hours/month.

Base 2 (Binary) Conversion:

1. Convert 1 Mebibit to bits:

   • $1 \text{ Mib} = 2^{20} \text{ bits} = 1,048,576 \text{ bits}$.

2. Convert bits to Bytes:

   • $1 \text{ Byte} (B) = 8 \text{ bits}$.
   • Therefore, $1,048,576 \text{ bits} \div 8 = 131,072 \text{ Bytes}$.

3. Calculate Bytes per hour:

   • Bytes per hour = $\frac{131,072 \text{ Bytes}}{730.56 \text{ hours}}$.

   $\text{Bytes per hour} \approx \frac{131,072}{730.56} \approx 179.39 \text{ B/hr}$

Base 10 (Decimal) Conversion:

In base 10, Mebit is typically referred to as Megabit (Mb).

1. 1 Megabit (Mb):

   • 1 Megabit (Mb) = 10^6 bits = 1,000,000 bits.

2. Convert bits to Bytes:

   • $1,000,000 \text{ bits} \div 8 = 125,000 \text{ Bytes}$.

3. Calculate Bytes per hour:

   • Bytes per hour = $\frac{125,000 \text{ Bytes}}{730.56 \text{ hours}}$.

   $\text{Bytes per hour} \approx \frac{125,000}{730.56} \approx 171.09 \text{ B/hr}$

Real World Examples:

1. 10 Mebibits per month in base 2:

   • $10 \times 131,072 \text{ Bytes} \div 730.56 \text{ hours} \approx 1,793.91 \text{ B/hr}$.

2. 50 Mebibits per month in base 2:

   • $50 \times 131,072 \text{ Bytes} \div 730.56 \text{ hours} \approx 8,969.53 \text{ B/hr}$.

3. 10 Megabits per month in base 10:

   • $10 \times 125,000 \text{ Bytes} \div 730.56 \text{ hours} \approx 1,710.94 \text{ B/hr}$.

4. 50 Megabits per month in base 10:

   • $50 \times 125,000 \text{ Bytes} \div 730.56 \text{ hours} \approx 8,554.72 \text{ B/hr}$.

Summary:

• Base 2 (Mebibits): 1 Mib/month ≈ 179.39 Bytes/hour.
• Base 10 (Megabits): 1 Mb/month ≈ 171.09 Bytes/hour.

These calculations illustrate the difference between using base 2 and base 10 definitions. Real-world quantities like internet bandwidth are often measured in Megabits per month (base 10), whereas memory is more commonly measured in Mebibits (base 2).