bits per second to Mebibits per day conversion

How to convert bits per second to mebibits per day?

Conversion from Bits per Second to Mebibits per Day

Step-by-Step Calculation for Base 2 (Binary)

1. Convert bits per second to bits per day:

   • There are $60$ seconds in a minute, $60$ minutes in an hour, and $24$ hours in a day.
   • Thus, $1 \, \text{bit/second}$ translates to: $1 \, \text{bit/second} \times 60 \, \text{seconds/minute} \times 60 \, \text{minutes/hour} \times 24 \, \text{hours/day} = 86{,}400 \, \text{bits/day}$

2. Convert bits to Mebibits:

   • $1 \, \text{Mebibit (Mi)} = 2^{20} \, \text{bits} = 1{,}048{,}576 \, \text{bits}$.
   • Therefore, to convert $86{,}400 \, \text{bits}$ to Mebibits (Mi): $\frac{86{,}400 \, \text{bits}}{1{,}048{,}576 \, \text{bits/Mi}} \approx 0.0824 \, \text{Mibibits/day}$

Step-by-Step Calculation for Base 10 (Decimal)

1. Convert bits per second to bits per day (same as above):

   • $86{,}400 \, \text{bits/day}$.

2. Convert bits to Megabits:

   • $1 \, \text{Megabit (M)} = 10^6 \, \text{bits} = 1{,}000{,}000 \, \text{bits}$.
   • Therefore, to convert $86{,}400 \, \text{bits}$ to Megabits (M): $\frac{86{,}400 \, \text{bits}}{1{,}000{,}000 \, \text{bits/M}} = 0.0864 \, \text{Megabits/day}$

Real-World Examples of Data Transfer Rates (bps)

1. 1 bit per second (bps):

   • This is an extremely slow data rate and not practical for modern communication systems. It would be akin to sending a single binary digit every second.

2. 9600 bps (9.6 kbps):

   • Common for older modems and some telecommunication standards.

3. 56,000 bps (56 kbps):

   • Typical speed for dial-up internet connections in the late 1990s.

4. 1,000,000 bps (1 Mbps):

   • Some low-speed home Internet connections or IoT devices.

5. 1,000,000,000 bps (1 Gbps):

   • High-speed broadband internet, fiber-optic cables, and modern Ethernet networks.

6. 100,000,000,000 bps (100 Gbps):

   • Used in high-performance networking, data centers, and inter-server communications.

Summary

• 1 bit per second = 0.0824 Mebibits per day (Base 2)
• 1 bit per second = 0.0864 Megabits per day (Base 10)

Understanding both conversion methods is essential for different applications, as computing and electronics often mix binary units (Base 2) and decimal units (Base 10).