Bytes per hour to Megabytes per minute conversion

How to convert bytes per hour to megabytes per minute?

To convert bytes per hour (B/hr) to megabytes per minute (MB/min), you'll need to account for two main factors:

1. The conversion between hours and minutes.
2. The conversion between bytes and megabytes.

Step-by-Step Conversion for Base 10 (Decimal System)

1. Convert hours to minutes:

   • There are 60 minutes in an hour. So, B/hr to B/min is calculated as follows: $1 \text{ B/hr} = \frac{1}{60} \text{ B/min}$

2. Convert bytes to megabytes:

   • In base 10, 1 megabyte (MB) is equal to $10^6$ bytes (1,000,000 bytes).

Combine the two steps: $\text{B/min}$ to $\text{MB/min}$: $\frac{1 \text{ B}}{60 \text{ min}} = \frac{1}{60 \times 10^6} \text{ MB/min} = 1.6667 \times 10^{-8} \text{ MB/min}$

So, 1 Bytes per hour is $1.6667 \times 10^{-8}$ Megabytes per minute in base 10.

Step-by-Step Conversion for Base 2 (Binary System)

1. Convert hours to minutes:

   • Just like in base 10, there are 60 minutes in an hour: $1 \text{ B/hr} = \frac{1}{60} \text{ B/min}$

2. Convert bytes to megabytes:

   • In base 2, 1 megabyte (MiB, often used to denote binary megabytes) is equal to $2^{20}$ bytes (1,048,576 bytes).

Combine the two steps: $\text{B/min}$ to $\text{MiB/min}$: $\frac{1 \text{ B}}{60 \text{ min}} = \frac{1}{60 \times 2^{20}} \text{ MiB/min} = 1.58949 \times 10^{-8} \text{ MiB/min}$

So, 1 Bytes per hour is $1.58949 \times 10^{-8}$ Megabytes per minute in base 2.

Real-World Examples

To provide some context, let's convert different quantities of bytes per hour to megabytes per minute:

1. 1 KB/hr (Kilobyte per hour):

   • Base 10: $1 \text{ KB} = 1,000 \text{ bytes}$ $\frac{1,000}{60 \times 10^6} \text{ MB/min} = 1.6667 \times 10^{-5} \text{ MB/min}$

   • Base 2: $1 \text{ KiB} = 2^{10} = 1,024 \text{ bytes}$ $\frac{1,024}{60 \times 2^{20}} \text{ MiB/min} = 1.629 \times 10^{-5} \text{ MiB/min}$

2. 1 MB/hr (Megabyte per hour):

   • Base 10: $1 \text{ MB} = 1,000,000 \text{ bytes}$ $\frac{1,000,000}{60 \times 10^6} \text{ MB/min} = 0.01667 \text{ MB/min}$

   • Base 2: $1 \text{ MiB} = 2^{20} = 1,048,576 \text{ bytes}$ $\frac{1,048,576}{60 \times 2^{20}} \text{ MiB/min} = 0.01667 \text{ MiB/min}$

3. 1 GB/hr (Gigabyte per hour):

   • Base 10: $1 \text{ GB} = 1,000,000,000 \text{ bytes}$ $\frac{1,000,000,000}{60 \times 10^6} \text{ MB/min} = 16.67 \text{ MB/min}$

   • Base 2: $1 \text{ GiB} = 2^{30} = 1,073,741,824 \text{ bytes}$ $\frac{1,073,741,824}{60 \times 2^{20}} \text{ MiB/min} = 17.830 \text{ MiB/min}$

These examples provide a clear understanding of how to convert different quantities of bytes per hour to megabytes per minute, considering both base 10 and base 2 systems.