Mebibits per day to Gigabytes per second conversion

How to convert mebibits per day to gigabytes per second?

To convert 1 Mebibit per day to Gigabytes per second, you'll need to go through a few steps involving conversions between various units of time and data.

Base 2 Conversion (Binary)

1. Mebibits to Bits: 1 Mebibit (Mib) = $2^{20}$ bits = 1,048,576 bits.

2. Per Day to Per Second: Since there are 86,400 seconds in a day: $\text{Rate} = \frac{1,048,576 \, \text{bits}}{86,400 \, \text{seconds}} \approx 12.13 \, \text{bits per second}$

3. Bits to Bytes: 1 byte = 8 bits, so: $\text{Rate} = \frac{12.13 \, \text{bits per second}}{8} \approx 1.52 \, \text{bytes per second}$

4. Bytes to Gigabytes: 1 Gigabyte (GB) = $2^{30}$ bytes = 1,073,741,824 bytes: $\text{Rate} = \frac{1.52 \, \text{bytes per second}}{1,073,741,824} \approx 1.42 \times 10^{-9} \, \text{GB/s}$

Base 10 Conversion (Decimal)

1. Mebibits to Megabits: 1 Mebibit (Mib) = 1,048,576 bits. In decimal, we instead use Megabits (Mb) where 1 Megabit = 1,000,000 bits.

2. Per Day to Per Second: Using the same time conversion: $\text{Rate} = \frac{1,048,576 \, \text{bits}}{86,400 \, \text{seconds}} \approx 12.13 \, \text{bits per second}$

3. Bits to Bytes: $\text{Rate} = \frac{12.13 \, \text{bits per second}}{8} \approx 1.52 \, \text{bytes per second}$

4. Bytes to Gigabytes: 1 Gigabyte (GB) = 1,000,000,000 bytes: $\text{Rate} = \frac{1.52 \, \text{bytes per second}}{1,000,000,000} \approx 1.52 \times 10^{-9} \, \text{GB/s}$

Summary

• Base 2 (Binary): Approximately $1.42 \times 10^{-9}$ Gigabytes per second.
• Base 10 (Decimal): Approximately $1.52 \times 10^{-9}$ Gigabytes per second.

Real-World Examples

1. 1,000 Mebibits per day (1 Gibibit per day): $\approx 1.42 \times 10^{-6} \, \text{GB/s} \quad \text{(Base 2)}$ $\approx 1.52 \times 10^{-6} \, \text{GB/s} \quad \text{(Base 10)}$

2. 10,000 Mebibits per day: $\approx 1.42 \times 10^{-5} \, \text{GB/s} \quad \text{(Base 2)}$ $\approx 1.52 \times 10^{-5} \, \text{GB/s} \quad \text{(Base 10)}$

3. 100,000 Mebibits per day: $\approx 1.42 \times 10^{-4} \, \text{GB/s} \quad \text{(Base 2)}$ $\approx 1.52 \times 10^{-4} \, \text{GB/s} \quad \text{(Base 10)}$

In most practical contexts, such small differences between the base 2 and base 10 calculations are trivial, but they can be important in high-precision scientific or engineering applications.