bits per hour to Mebibytes per day conversion

How to convert bits per hour to mebibytes per day?

Converting bits per hour (b/h) to Mebibytes per day (MiB/day) requires understanding the different bases used for data measurements: base 10 (decimal) and base 2 (binary). Here's how you can perform the conversion, followed by some real-world examples of other data transfer rates in bits per hour.

Conversion Process for 1 bit per hour (b/h) to Mebibytes per day (MiB/day)

1. Understand the Units:

   • Bits per hour (b/h): The number of bits transferred per hour.
   • Mebibytes per day (MiB/day): The number of mebibytes transferred per day.
     • 1 mebibyte (MiB) = $2^{20}$ bytes = 1,048,576 bytes.

2. Steps for Conversion:

   • Convert b/h to bits per day (b/day).
   • Convert bits to bytes.
   • Convert bytes to mebibytes.

Using Base 2 (Binary)

1. Convert bits per hour to bits per day:

$1 \text{ b/h} \times 24 \text{ hours/day} = 24 \text{ bits/day}$

2. Convert bits to bytes:

Since there are 8 bits in a byte:

$24 \text{ bits/day} \div 8 = 3 \text{ bytes/day}$

3. Convert bytes to mebibytes:

1 mebibyte (MiB) is $2^{20}$ bytes:

$3 \text{ bytes/day} \div 2^{20} \text{ bytes/MiB} = 3 \div 1,048,576 \text{ MiB/day} \approx 2.861 \times 10^{-6} \text{ MiB/day}$

Using Base 10 (Decimal)

1. Convert bits per hour to bits per day:

$1 \text{ b/h} \times 24 \text{ hours/day} = 24 \text{ bits/day}$

2. Convert bits to bytes:

$24 \text{ bits/day} \div 8 = 3 \text{ bytes/day}$

3. Convert bytes to mebibytes (using base 10 for reference):

In base 10, 1 megabyte (MB) = $10^6$ bytes. However, since we are converting to mebibytes for consistency, this step will be almost the same as in base 2 for small quantities:

$3 \text{ bytes/day} \div 1,048,576 \text{ bytes/MiB} \approx 2.861 \times 10^{-6} \text{ MiB/day}$

Conclusion

Whether using base 2 or base 10, the conversion of 1 bit per hour to mebibytes per day is approximately:

$1 \text{ bit per hour} \approx 2.861 \times 10^{-6} \text{ MiB/day}$

Real World Examples of Other Quantities

1. 10 Kbps (Kilobits per second):

To calculate for 1 hour: $10 \text{ Kbps} \times 3,600 \text{ seconds} = 36,000,000 \text{ bits/hour}$

2. 1 Mbps (Megabit per second):

To calculate for 1 hour: $1 \text{ Mbps} \times 3,600 \text{ seconds} = 3,600,000,000 \text{ bits/hour}$

3. 1 Gbps (Gigabit per second):

To calculate for 1 hour: $1 \text{ Gbps} \times 3,600 \text{ seconds} = 3,600,000,000,000 \text{ bits/hour}$

These values can also be converted to mebibytes per day following the same method, but these examples are provided in b/h for simplicity.