Mebibits per second to bits per day conversion

How to convert mebibits per second to bits per day?

To convert data transfer rates from Mebibits per second (Mibps or Mibps) to bits per day, you'll need to consider the different bases used in computing (base 2 and base 10). Let’s break down the conversion process for each case:

Conversion in Base 2

1 Mebibit per second (MiBps) is equal to $2^{20}$ bits per second because 1 Mebibit is $2^{20}$ bits or 1,048,576 bits.

1. Calculate bits per second: $1 \text{ MiBps} = 2^{20} \text{ bits/second} = 1,048,576 \text{ bits/second}$

2. Convert seconds to days: $1 \text{ day} = 24 \text{ hours} \times 60 \text{ minutes} \times 60 \text{ seconds} = 86,400 \text{ seconds}$

3. Calculate bits per day: $1,048,576 \text{ bits/second} \times 86,400 \text{ seconds/day} = 90,949,107,200 \text{ bits/day}$

So, in base 2, 1 MiBps is equal to 90,949,107,200 bits per day.

Conversion in Base 10

1 Megabit per second (Mbps) in base 10 is equal to $10^6$ bits per second because 1 Megabit is $10^6$ bits or 1,000,000 bits.

1. Calculate bits per second: $1 \text{ Mbps} = 10^6 \text{ bits/second} = 1,000,000 \text{ bits/second}$

2. Convert seconds to days: $1 \text{ day} = 86,400 \text{ seconds}$

3. Calculate bits per day: $1,000,000 \text{ bits/second} \times 86,400 \text{ seconds/day} = 86,400,000,000 \text{ bits/day}$

So, in base 10, 1 Mbps is equal to 86,400,000,000 bits per day.

Real World Examples of Mebibits per Second

• Internet Connections: A high-speed internet connection often advertised by ISPs could be 100 Mibps. Using the base 2 conversion, this equates to: $100 \text{ MiBps} \times 86,400 \text{ seconds/day} \times 2^{20} = 9,094,910,720,000 \text{ bits/day}$

• Data Centers: Servers in data centers might handle data transfer rates of around 1,000 Mibps to provide efficient and high-speed data access.

• Video Streaming Services: Streaming services like Netflix or YouTube might require a data transfer rate of around 5 MiBps for HD video quality.

Note that for real-world applications, the unit used (base 2 or base 10) should be clarified to avoid confusion, as data rates in commercial contexts are often quoted in Mbps (base 10).