Megabytes per hour to bits per second conversion

How to convert megabytes per hour to bits per second?

Sure, I can help you with that. Let's break down the conversion from Megabytes per hour to bits per second.

1 Megabyte (MB) = 1,000,000 bytes (base 10) or 1,048,576 bytes (base 2).

1 byte = 8 bits.

1 hour = 3600 seconds.

Base 10 Conversion (Decimal)

First, convert Megabytes to bytes:

$1 \text{ MB} = 1,000,000 \text{ bytes}$

Next, convert bytes to bits:

$1,000,000 \text{ bytes} \times 8 \text{ bits/byte} = 8,000,000 \text{ bits}$

Finally, convert hours to seconds:

$1 \text{ hour} = 3,600 \text{ seconds}$

So, 8,000,000 bits per hour:

$\frac{8,000,000 \text{ bits}}{3,600 \text{ seconds}} \approx 2,222.22 \text{ bits per second}$

Base 2 Conversion (Binary)

First, convert Megabytes to bytes:

$1 \text{ MB} = 1,048,576 \text{ bytes}$

Next, convert bytes to bits:

$1,048,576 \text{ bytes} \times 8 \text{ bits/byte} = 8,388,608 \text{ bits}$

Finally, convert hours to seconds:

$1 \text{ hour} = 3,600 \text{ seconds}$

So, 8,388,608 bits per hour:

$\frac{8,388,608 \text{ bits}}{3,600 \text{ seconds}} \approx 2,330.72 \text{ bits per second}$

Real-World Examples

Here are some examples for other quantities of Megabytes per hour in both systems:

Base 10 (Decimal)

• 10 MB per hour: $\frac{10,000,000 \text{ bytes} \times 8}{3,600 \text{ seconds}} = 22,222.22 \text{ bits per second}$

• 100 MB per hour: $\frac{100,000,000 \text{ bytes} \times 8}{3,600 \text{ seconds}} = 222,222.22 \text{ bits per second}$

• 500 MB per hour: $\frac{500,000,000 \text{ bytes} \times 8}{3,600 \text{ seconds}} = 1,111,111.11 \text{ bits per second}$

Base 2 (Binary)

• 10 MB per hour: $\frac{10,485,760 \text{ bytes} \times 8}{3,600 \text{ seconds}} = 23,307.20 \text{ bits per second}$

• 100 MB per hour: $\frac{104,857,600 \text{ bytes} \times 8}{3,600 \text{ seconds}} = 233,072 \text{ bits per second}$

• 500 MB per hour: $\frac{524,288,000 \text{ bytes} \times 8}{3,600 \text{ seconds}} = 1,165,360 \text{ bits per second}$

These examples provide a good understanding of how to convert between different data rates using both base 10 and base 2 units.