Megabytes per second to Bytes per hour conversion

How to convert megabytes per second to bytes per hour?

To convert 1 Megabyte per second (MB/s) to Bytes per hour (B/h), you need to know the relationship between Megabytes and Bytes and the number of seconds in an hour. Let's break it down step-by-step:

Base 10 (Decimal System)

In the base 10 (decimal) system:

• 1 Megabyte (MB) = 1,000,000 Bytes (B)
• There are 60 seconds in a minute and 60 minutes in an hour. Thus, there are 60 * 60 = 3,600 seconds in an hour.

So, if you are transferring data at a rate of 1 Megabyte per second: 1 MB/s = 1,000,000 Bytes/s

Now, multiply by the number of seconds in an hour: 1,000,000 Bytes/s * 3,600 s = 3,600,000,000 Bytes/hour

Therefore, in base 10, 1 MB/s equals 3,600,000,000 Bytes per hour.

Base 2 (Binary System)

In the base 2 (binary) system, which is often used in computing:

• 1 Megabyte (MiB) = 2^20 Bytes = 1,048,576 Bytes (B)

The number of seconds in an hour is still 3,600.

So, if you are transferring data at a rate of 1 Megabyte per second in base 2: 1 MiB/s = 1,048,576 Bytes/s

Now, multiply by the number of seconds in an hour: 1,048,576 Bytes/s * 3,600 s = 3,774,873,600 Bytes/hour

Therefore, in base 2, 1 MiB/s equals 3,774,873,600 Bytes per hour.

Real World Examples

To understand different quantities of Megabytes per second, consider the following examples:

1. 5 MB/s (Base 10)

   • 5 MB/s = 5,000,000 Bytes/s
   • 5,000,000 Bytes/s * 3,600 s = 18,000,000,000 Bytes/hour

   Base 2:

   • 5 MiB/s = 5 * 1,048,576 Bytes/s = 5,242,880 Bytes/s
   • 5,242,880 Bytes/s * 3,600 s = 18,874,368,000 Bytes/hour

2. 10 MB/s (Base 10)

   • 10 MB/s = 10,000,000 Bytes/s
   • 10,000,000 Bytes/s * 3,600 s = 36,000,000,000 Bytes/hour

   Base 2:

   • 10 MiB/s = 10 * 1,048,576 Bytes/s = 10,485,760 Bytes/s
   • 10,485,760 Bytes/s * 3,600 s = 37,748,736,000 Bytes/hour

3. 25 MB/s (Base 10)

   • 25 MB/s = 25,000,000 Bytes/s
   • 25,000,000 Bytes/s * 3,600 s = 90,000,000,000 Bytes/hour

   Base 2:

   • 25 MiB/s = 25 * 1,048,576 Bytes/s = 26,214,400 Bytes/s
   • 26,214,400 Bytes/s * 3,600 s = 94,371,840,000 Bytes/hour

These examples provide a clear understanding of how data transfer rates convert to longer periods and how they differ depending on the base system used.