Mebibits per hour to Gigabits per day conversion

How to convert mebibits per hour to gigabits per day?

To convert Mebibits per hour (Mib/h) to Gigabits per day (Gb/day), we need to follow a series of unit conversions. Here, I will show you both base 2 (binary) and base 10 (decimal) methods.

Base 2 Conversion (Binary)

1 Mebibit (Mib) is equal to 2^20 bits. 1 Gigabit (Gb) in base 2 is 2^30 bits.

Conversion Steps:

1. Convert Mib/h to bits per hour: $1 \text{ Mib/h} = 1 \times 2^{20} \text{ bits/hour} = 1,048,576 \text{ bits/hour}$

2. Calculate bits per day: $1,048,576 \text{ bits/hour} \times 24 \text{ hours/day} = 25,165,824 \text{ bits/day}$

3. Convert bits per day to Gigabits per day: $25,165,824 \text{ bits/day} \div 2^{30} = \frac{25,165,824}{1,073,741,824} \text{ Gb/day} \approx 0.0234 \text{ Gb/day}$

Base 10 Conversion (Decimal)

1 Mebibit (Mib) is approximately 1.048576 Megabits (Mb), since 1 Megabit (Mb) is 10^6 bits and 1 Mebibit (Mib) is 2^20 bits.

1 Gigabit (Gb) in base 10 is 10^9 bits.

Conversion Steps:

1. Convert Mib/h to Megabits per hour: $1 \text{ Mib/h} \approx 1.048576 \text{ Mb/h}$

2. Calculate Megabits per day: $1.048576 \text{ Mb/h} \times 24 \text{ hours/day} = 25.165824 \text{ Mb/day}$

3. Convert Megabits to Gigabits: $25.165824 \text{ Mb/day} \div 1,000 = 0.025165824 \text{ Gb/day} \approx 0.0252 \text{ Gb/day}$

Summary:

• Base 2 (Binary): $1 \text{ Mib/h} \approx 0.0234 \text{ Gb/day}$

• Base 10 (Decimal): $1 \text{ Mib/h} \approx 0.0252 \text{ Gb/day}$

Real World Examples for Other Quantities

1. Streaming Video

   • 10 Mib/h:
     • Binary: $0.234 \text{ Gb/day}$
     • Decimal: $0.252 \text{ Gb/day}$
   • This can represent a low-quality video stream running continuously.

2. Home Internet Usage

   • 50 Mib/h:
     • Binary: $1.17 \text{ Gb/day}$
     • Decimal: $1.26 \text{ Gb/day}$
   • This can be typical for household internet usage for browsing and streaming.

3. Corporate Network Traffic

   • 200 Mib/h:
     • Binary: $4.68 \text{ Gb/day}$
     • Decimal: $5.04 \text{ Gb/day}$
   • This could suit moderate business with many active users and IoT devices.

By following the steps above, you can convert any quantity of data transfer rate from Mib/h to Gb/day for both base 2 and base 10 interpretations.