Gigabits per day to Bytes per minute conversion

How to convert gigabits per day to bytes per minute?

To convert 1 Gigabit per day (Gbit/day) to Bytes per minute (B/min), we'll follow these steps:

1. Convert Gigabits to Bits:

   • 1 Gigabit (Gbit) equals $10^9$ bits in base 10.
   • 1 Gigabit (Gbit) equals $2^{30}$ bits in base 2 (also known as a Gibibit, GiBit).

2. Convert Bits to Bytes:

   • 1 Byte equals 8 bits.

3. Convert a Day to Minutes:

   • 1 day equals 24 hours.
   • 1 hour equals 60 minutes.
   • Therefore, 1 day is equal to $24 \times 60 = 1440$ minutes.

Base 10 Calculation

Step-by-Step:

1. Gigabits to Bits: $1 \text{ Gbit} = 10^9 \text{ bits}$

2. Bits to Bytes: $10^9 \text{ bits} \div 8 = 1.25 \times 10^8 \text{ Bytes}$

3. Bytes per Day to Bytes per Minute: $\text{Bytes per minute} = \frac{1.25 \times 10^8 \text{ Bytes}}{1440 \text{ minutes}}$

   $\text{Bytes per minute} = \frac{1.25 \times 10^8}{1440} \approx 86805.56 \text{ Bytes per minute}$

Base 2 Calculation

Step-by-Step:

1. Gigabits to Bits: $1 \text{ GiBit} = 2^{30} \text{ bits}$

   $2^{30} \text{ bits} = 1073741824 \text{ bits}$

2. Bits to Bytes: $1073741824 \text{ bits} \div 8 = 134217728 \text{ Bytes}$

3. Bytes per Day to Bytes per Minute: $\text{Bytes per minute} = \frac{134217728 \text{ Bytes}}{1440 \text{ minutes}}$

   $\text{Bytes per minute} = \frac{134217728}{1440} \approx 93207.61 \text{ Bytes per minute}$

Summary:

• Base 10: $\approx 86805.56 \text{ Bytes per minute}$
• Base 2: $\approx 93207.61 \text{ Bytes per minute}$

Real-World Examples:

1. 10 Gbit/day:

   • Base 10: $10 \times 86805.56 \approx 868055.6 \text{ Bytes per minute}$
   • Base 2: $10 \times 93207.61 \approx 932076.1 \text{ Bytes per minute}$

2. 100 Gbit/day:

   • Base 10: $100 \times 86805.56 \approx 8680556 \text{ Bytes per minute}$
   • Base 2: $100 \times 93207.61 \approx 9320761 \text{ Bytes per minute}$

3. 1 Tbit/day (Terabit):

   • Base 10: $1000 \times 86805.56 \approx 86805560 \text{ Bytes per minute}$
   • Base 2: $1000 \times 93207.61 \approx 93207610 \text{ Bytes per minute}$

These conversions help visualize the data rates in terms of a more commonly-used unit (Bytes per minute) and demonstrate how they can vary between different bases.