Mebibits per day to Gigabits per day conversion

How to convert mebibits per day to gigabits per day?

Sure, let's dive into converting 1 Mebibit per day to Gigabits per day. The conversion can differ based on whether you are using the binary (base 2) or decimal (base 10) system.

Base 2 (Binary System)

1 Mebibit (Mibit) is equal to $2^{20}$ bits. That is, 1 Mibit = 1,048,576 bits.

1 Gigabit (Gbit) is $2^{30}$ bits. That is, 1 Gbit = 1,073,741,824 bits.

To convert 1 Mibit per day to Gbits per day in the binary system: $1\, \text{Mibit/day} = \frac{1,048,576\, \text{bits/day}}{1,073,741,824\, \text{bits/Gbit}}$ $1\, \text{Mibit/day} \approx 0.0009765625\, \text{Gbit/day}$

Base 10 (Decimal System)

1 Mebibit is still considered as $2^{20}$ bits (since it is a binary-based unit).

1 Gigabit, however, in the base 10 system, is $10^9$ bits. That is, 1 Gbit = 1,000,000,000 bits.

To convert 1 Mibit per day to Gbits per day in the decimal system: $1\, \text{Mibit/day} = \frac{1,048,576\, \text{bits/day}}{1,000,000,000\, \text{bits/Gbit}}$ $1\, \text{Mibit/day} = 0.001048576\, \text{Gbit/day}$

Comparison:

• In the binary system: 1 Mibit/day = 0.0009765625 Gbit/day
• In the decimal system: 1 Mibit/day = 0.001048576 Gbit/day

Real World Examples for Other Quantities of Mebibits per Day

Here are some examples of different quantities and their approximate values in Gigabits per day (based on base 2 conversions):

1. 10 Mebibits/day: $10\, \text{Mibit/day} \approx 10 \times 0.0009765625\, \text{Gbit/day}$ $10\, \text{Mibit/day} \approx 0.009765625\, \text{Gbit/day}$

2. 100 Mebibits/day: $100\, \text{Mibit/day} \approx 100 \times 0.0009765625\, \text{Gbit/day}$ $100\, \text{Mibit/day} \approx 0.09765625\, \text{Gbit/day}$

3. 1,000 Mebibits/day: $1,000\, \text{Mibit/day} \approx 1,000 \times 0.0009765625\, \text{Gbit/day}$ $1,000\, \text{Mibit/day} \approx 0.9765625\, \text{Gbit/day}$

4. 10,000 Mebibits/day: $10,000\, \text{Mibit/day} \approx 10,000 \times 0.0009765625\, \text{Gbit/day}$ $10,000\, \text{Mibit/day} \approx 9.765625\, \text{Gbit/day}$

Summary

• 1 Mebibit/day ≈ 0.0009765625 Gbit/day (base 2)
• 1 Mebibit/day ≈ 0.001048576 Gbit/day (base 10)

By understanding the conversion factors and applying them correctly, you can easily switch between Mebibits per day and Gigabits per day in both base 2 and base 10 systems.