Mebibits per second to Bytes per hour conversion

How to convert mebibits per second to bytes per hour?

To convert 1 Mebibit per second (Mibit/s) to Bytes per hour, we need to follow these steps:

Initial Information:

1. Mebibit (Mibit): This is a unit based on base 2, where 1 Mebibit = $2^{20}$ bits.
2. Bits and Bytes: 1 Byte = 8 bits.

Conversion Steps:

1. Convert Mebibits to Bits per second: $1 \text{ Mebibit per second (Mibit/s)} = 2^{20} \text{ bits per second} = 1,048,576 \text{ bits per second}$

2. Convert Bits per second to Bytes per second: $1,048,576 \text{ bits per second} \div 8 = 131,072 \text{ Bytes per second}$

3. Convert Bytes per second to Bytes per hour: $131,072 \text{ Bytes per second} \times 3,600 \text{ seconds per hour} = 471,859,200 \text{ Bytes per hour}$

So, 1 Mebibit per second is equivalent to 471,859,200 Bytes per hour.

Base 10 vs. Base 2:

In some contexts, "Mega" is treated as $10^6$ rather than $2^{20}$. Let's differentiate between these:

Base 10 (Decimal):

1. Convert Mebibits to bits per second: $1 \text{ Megabit per second (using base 10, Mbps)} = 1,000,000 \text{ bits per second}$

2. Convert bits per second to Bytes per second: $1,000,000 \text{ bits per second} \div 8 = 125,000 \text{ Bytes per second}$

3. Convert Bytes per second to Bytes per hour: $125,000 \text{ Bytes per second} \times 3,600 \text{ seconds per hour} = 450,000,000 \text{ Bytes per hour}$

So, 1 Megabit per second in base 10 is equivalent to 450,000,000 Bytes per hour.

Real-World Examples:

1. Streaming Video: A standard quality streaming video might use around 3 Mebibits per second. This would be: $3 \times 471,859,200 \approx 1,415,577,600 \text{ Bytes per hour} \approx 1.316 \text{ GB per hour (base 2)}$

   $3 \times 450,000,000 \approx 1,350,000,000 \text{ Bytes per hour} \approx 1.26 \text{ GB per hour (base 10)}$

2. High-Quality Video Conferencing: High-quality video calls may use around 1.5 Mebibits per second. $1.5 \times 471,859,200 \approx 707,788,800 \text{ Bytes per hour} \approx 0.659 \text{ GB per hour (base 2)}$

   $1.5 \times 450,000,000 \approx 675,000,000 \text{ Bytes per hour} \approx 0.628 \text{ GB per hour (base 10)}$

3. Online Gaming: Online gaming might use around 0.5 Mebibits per second: $0.5 \times 471,859,200 \approx 235,929,600 \text{ Bytes per hour} \approx 0.22 \text{ GB per hour (base 2)}$

   $0.5 \times 450,000,000 \approx 225,000,000 \text{ Bytes per hour} \approx 0.209 \text{ GB per hour (base 10)}$

Understanding these differences and conversions is critical, especially when dealing with data transfer and storage requirements for various applications.