Mebibits per day to Bytes per day conversion

How to convert mebibits per day to bytes per day?

To convert 1 Mebibit per day to Bytes per day, we need to understand the units involved:

1. A Mebibit (Mib) is part of binary-based data measurement and is equivalent to $2^{20}$ bits.
2. A Byte consists of 8 bits.

To find the number of Bytes resulting from 1 Mebibit, we use: $\text{Bytes} = \frac{\text{Bits}}{8}$

Base 2 Conversion (Binary-based)

In base 2:

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

Thus, converting bits to Bytes: $\text{Bytes} = \frac{1,048,576 \text{ bits}}{8} = 131,072 \text{ Bytes}$

When converting 1 Mebibit per day to Bytes per day in base 2, we get: $1 \text{ Mebibit/day} = 131,072 \text{ Bytes/day}$

Base 10 Conversion (Decimal-based)

While data storage in terms of bytes traditionally uses base 2, network data transfer rates like Mbps (Megabits per second) often use base 10 (though not always the case with Mebibits). If we simply use base 10, we assume:

In base 10:

• 1 Megabit (Mb, not Mib) = $10^6$ bits = 1,000,000 bits.

Following the same conversion: $\text{Bytes} = \frac{1,000,000 \text{ bits}}{8} = 125,000 \text{ Bytes}$

When converting 1 Megabit per day to Bytes per day in base 10, we get: $1 \text{ Megabit/day} = 125,000 \text{ Bytes/day}$

Note that Mebibits specifically are not used in base 10, but I provided the Megabits representation as a comparison.

Real World Examples for Mebibits per Day

1. Small-scale Network Transfer:

   • A small IoT device (like a smart sensor) might use around 10 Mebibits per day to communicate status updates.
   • Conversion: $10 \text{ Mib/day} = 10 \times 131,072 \text{ Bytes/day} = 1,310,720 \text{ Bytes/day} \approx 1.31 \text{ MB/day}$.

2. Medium-scale Network Transfer:

   • Home internet usage, where a typical family might use around 100 Mebibits per day just for text-based communication like emails.
   • Conversion: $100 \text{ Mib/day} = 100 \times 131,072 \text{ Bytes/day} = 13,107,200 \text{ Bytes/day} \approx 13.1 \text{ MB/day}$.

3. Large-scale Network Transfer:

   • A business might transfer around 1 Gibibit (Gigabits in binary measurement) per day for cloud backups.
   • 1 Gibibit (Gib) = $2^{30}$ bits = 1024 Mebibits.
   • Conversion: $1 \text{ Gib/day} = 1024 \text{ Mib/day} = 1024 \times 131,072 \text{ Bytes/day} = 134,217,728 \text{ Bytes/day} \approx 134.2 \text{ MB/day}$.

Each of these examples gives a perspective on how different quantities of data correspond to Bytes per day when starting from Mebibits per day.