Megabits per second to Megabytes per hour conversion

How to convert megabits per second to megabytes per hour?

Sure! To convert 1 Megabit per second (Mbps) to Megabytes per hour, you can use the following steps.

Base 10 (Decimal System)

1 Megabit (Mb) = 1,000,000 bits
1 Megabyte (MB) = 1,000,000 bytes

Given that there are 8 bits in a byte:

$\text{1 Mbps} = \frac{1,000,000 \, \text{bits}}{8} = 125,000 \, \text{bytes per second}$

To convert bytes per second to Megabytes per hour (MB/hr):

$\text{125,000 bytes/second} \times 3,600 \, \text{seconds/hour}$

$\text{125,000} \times 3,600 = 450,000,000 \, \text{bytes/hour}$

Convert bytes to Megabytes:

$\frac{450,000,000 \, \text{bytes/hour}}{1,000,000} = 450 \, \text{MB/hour}$

So, in base 10:

$1 \, \text{Mbps} = 450 \, \text{MB/hour}$

Base 2 (Binary System)

1 Megabit (Mb) = 1,048,576 bits
1 Megabyte (MB) = 1,048,576 bytes (also known as a Mebibyte)

Using the same conversion of 8 bits per byte:

$\text{1 Mbps} = \frac{1,048,576 \, \text{bits}}{8} = 131,072 \, \text{bytes per second}$

To convert bytes per second to Megabytes per hour (MiB/hr):

$\text{131,072 bytes/second} \times 3,600 \, \text{seconds/hour}$

$\text{131,072} \times 3,600 = 471,859,200 \, \text{bytes/hour}$

Convert bytes to Megabytes:

$\frac{471,859,200 \, \text{bytes/hour}}{1,048,576} = 450 \, \text{MB/hour}$

In base 2:

$1 \, \text{Mbps} = 450 \, \text{MB/hour}$

In both systems, the resultant value in MB per hour is the same due to the way Megabit and Megabyte values align in conversion when using standard byte sizes.

Real World Examples of Different Megabits per Second

1. 5 Mbps (Megabits per second):

   • Base 10:
     $5 \, \text{Mbps} \times 450 \, \text{MB/hour per Mbps} = 2,250 \, \text{MB/hour}$
   • Usage: Streaming standard-definition video content on a single device without buffering.

2. 10 Mbps:

   • Base 10:
     $10 \, \text{Mbps} \times 450 \, \text{MB/hour per Mbps} = 4,500 \, \text{MB/hour}$
   • Usage: Streaming high-definition (HD) video on a single device or supporting multiple devices for lower bandwidth activities.

3. 100 Mbps:

   • Base 10: $100 \, \text{Mbps} \times 450 \, \text{MB/hour per Mbps} = 45,000 \, \text{MB/hour}$
   • Usage: Streaming 4K ultra-high-definition (UHD) video on several devices simultaneously, large file downloads, and fast internet browsing for multiple users.

These conversions and usage examples help illustrate how data transfer rates affect real-world activities such as streaming, downloading, and general internet usage.