Megabytes per minute to Gigabytes per second conversion

How to convert megabytes per minute to gigabytes per second?

To convert 1 Megabyte per minute to Gigabytes per second, you need to know the relationships between the units of data (Megabytes and Gigabytes) and the units of time (minutes and seconds).

Base 10 Conversion (Decimal)

1 Megabyte (MB) = 1,000,000 bytes 1 Gigabyte (GB) = 1,000,000,000 bytes 1 minute = 60 seconds

1 Megabyte per minute can be converted to bytes per second: $\frac{1\, \text{MB}}{1\, \text{minute}} = \frac{1,000,000\, \text{bytes}}{60\, \text{seconds}}$

$= \frac{1,000,000}{60}\, \text{bytes per second}$ $≈ 16,666.67\, \text{bytes per second}$

Now, converting bytes per second to Gigabytes per second: $\frac{16,666.67\, \text{bytes per second}}{1,000,000,000}\, \text{GB per byte}$

$≈ 0.000016667\, \text{GB per second}$

Base 2 Conversion (Binary)

1 Megabyte (MB) = 1,048,576 bytes (2^20 bytes) 1 Gigabyte (GB) = 1,073,741,824 bytes (2^30 bytes) 1 minute = 60 seconds

1 Megabyte per minute can be converted to bytes per second: $\frac{1\, \text{MB}}{1\, \text{minute}} = \frac{1,048,576\, \text{bytes}}{60\, \text{seconds}}$

$= \frac{1,048,576}{60}\, \text{bytes per second}$ $≈ 17,476.27\, \text{bytes per second}$

Now, converting bytes per second to Gigabytes per second: $\frac{17,476.27\, \text{bytes per second}}{1,073,741,824}\, \text{GB per byte}$

$≈ 0.000016276\, \text{GB per second}$

Real-world examples (Base 10)

1. 10 Megabytes per minute: $\frac{10\, \text{MB}}{1\, \text{minute}} = \frac{10,000,000\, \text{bytes}}{60\, \text{seconds}}$ $≈ 0.00016667\, \text{GB per second}$

2. 50 Megabytes per minute: $\frac{50\, \text{MB}}{1\, \text{minute}} = \frac{50,000,000\, \text{bytes}}{60\, \text{seconds}}$ $≈ 0.00083333\, \text{GB per second}$

3. 100 Megabytes per minute: $\frac{100\, \text{MB}}{1\, \text{minute}} = \frac{100,000,000\, \text{bytes}}{60\, \text{seconds}}$ $≈ 0.0016667\, \text{GB per second}$

Real-world examples (Base 2)

1. 10 Megabytes per minute: $\frac{10\, \text{MB}}{1\, \text{minute}} = \frac{10,485,760\, \text{bytes}}{60\, \text{seconds}}$ $≈ 0.00016276\, \text{GB per second}$

2. 50 Megabytes per minute: $\frac{50\, \text{MB}}{1\, \text{minute}} = \frac{52,428,800\, \text{bytes}}{60\, \text{seconds}}$ $≈ 0.000814\, \text{GB per second}$

3. 100 Megabytes per minute: $\frac{100\, \text{MB}}{1\, \text{minute}} = \frac{104,857,600\, \text{bytes}}{60\, \text{seconds}}$ $≈ 0.0016276\, \text{GB per second}$

These examples illustrate the differences between the base 10 (decimal) and base 2 (binary) conversions and provide a sense of scale for different data transfer rates.