Megabits per day to Bytes per second conversion

How to convert megabits per day to bytes per second?

Understanding Units

1 Megabit (Mb) = 1,000,000 bits (base 10) 1 Megabit (Mb) = 2^20 bits = 1,048,576 bits (base 2) 1 Byte = 8 bits

Conversion to Bytes per Second

Base 10:

1. Determine the total number of bits in one day:

   • 1 Megabit/day = 1,000,000 bits/day

2. Convert bits/day to bits/second: $\frac{1,000,000 \text{ bits}}{24 \times 60 \times 60 \text{ seconds}} = \frac{1,000,000 \text{ bits}}{86,400 \text{ seconds}} \approx 11.5741 \text{ bits/second}$

3. Convert bits/second to Bytes/second: $\frac{11.5741 \text{ bits/second}}{8} \approx 1.4468 \text{ Bytes/second}$

Base 2:

1. Determine the total number of bits in one day:

   • 1 Megabit/day = 1,048,576 bits/day

2. Convert bits/day to bits/second: $\frac{1,048,576 \text{ bits}}{24 \times 60 \times 60 \text{ seconds}} = \frac{1,048,576 \text{ bits}}{86,400 \text{ seconds}} \approx 12.1354 \text{ bits/second}$

3. Convert bits/second to Bytes/second: $\frac{12.1354 \text{ bits/second}}{8} \approx 1.5169 \text{ Bytes/second}$

Real World Examples with Other Quantities of Megabits per Day

Let's look at a few other quantities for further understanding.

10 Megabits per Day

Base 10:

• Total bits/day = 10,000,000 bits
• Bits/second = $\frac{10,000,000}{86,400} \approx 115.741$
• Bytes/second = $\frac{115.741}{8} \approx 14.468$

Base 2:

• Total bits/day = 10 \times 1,048,576 = 10,485,760 bits
• Bits/second = $\frac{10,485,760}{86,400} \approx 121.354$
• Bytes/second = $\frac{121.354}{8} \approx 15.169$

100 Megabits per Day

Base 10:

• Total bits/day = 100,000,000 bits
• Bits/second = $\frac{100,000,000}{86,400} \approx 1,157.41$
• Bytes/second = $\frac{1,157.41}{8} \approx 144.68$

Base 2:

• Total bits/day = 100 \times 1,048,576 = 104,857,600 bits
• Bits/second = $\frac{104,857,600}{86,400} \approx 1,213.54$
• Bytes/second = $\frac{1,213.54}{8} \approx 151.69$

1 Gigabits per Day

Base 10:

• Total bits/day = 1,000,000,000 bits
• Bits/second = $\frac{1,000,000,000}{86,400} \approx 11,574.1$
• Bytes/second = $\frac{11,574.1}{8} \approx 1,446.8$

Base 2:

• Total bits/day = 1,048,576,000 bits
• Bits/second = $\frac{1,048,576,000}{86,400} \approx 12,135.4$
• Bytes/second = $\frac{12,135.4}{8} \approx 1,516.925$

These conversions and examples illustrate the different rates at which data might be transferred depending on whether you're using base 10 or base 2 calculations.