Gigabits per hour to Terabytes per minute conversion

How to convert gigabits per hour to terabytes per minute?

To convert 1 Gigabit per hour (Gb/h) to Terabytes per minute (TB/min), you'll need to follow a few conversion steps. These steps will be outlined for both base 10 (also known as the decimal system) and base 2 (also known as the binary system).

Base 10 (Decimal System)

1. Convert Gigabits to Bits: 1 Gigabit (Gb) = 1 × 10^9 bits

2. Convert Hours to Minutes: 1 hour = 60 minutes

3. Calculate Data Rate in Bits per Minute: $\frac{1 \text{ Gb}}{1 \text{ hour}} = \frac{1 × 10^9 \text{ bits}}{60 \text{ minutes}}$

   $\frac{1 × 10^9 \text{ bits}}{60 \text{ minutes}} \approx 1.6667 \times 10^7 \text{ bits per minute}$

4. Convert Bits to Terabytes: 1 Terabyte (TB) = 1 × 10^{12} bits

5. Combine the Conversions: $1.6667 × 10^7 \text{ bits per minute}$ to Terabytes per minute:

   $\frac{1.6667 × 10^7 \text{ bits per minute}}{1 × 10^{12} \text{ bits per Terabyte}} \approx 1.6667 \times 10^{-5} \text{ TB/min}$

Base 2 (Binary System)

1. Convert Gigabits to Bits: 1 Gigabit (Gb) = 1 × 2^{30} bits = 1,073,741,824 bits

2. Convert Hours to Minutes: 1 hour = 60 minutes

3. Calculate Data Rate in Bits per Minute: $\frac{1 \text{ Gb}}{1 \text{ hour}} = \frac{1,073,741,824 \text{ bits}}{60 \text{ minute}}$

   $\frac{1,073,741,824 \text{ bits}}{60 \text{ minutes}} \approx 17,895,697.07 \text{ bits per minute}$

4. Convert Bits to Terabytes: 1 Terabyte (TB) = 1 × 2^{40} bits = 1,099,511,627,776 bits

5. Combine the Conversions: $\frac{17,895,697.07 \text{ bits per minute}}{1,099,511,627,776 \text{ bits per Terabyte}} \approx 1.629 × 10^{-5} \text{ TB/min }$

Summary

• Base 10: $1 \text{ Gb/h} \approx 1.6667 × 10^{-5} \text{ TB/min}$
• Base 2: $1 \text{ Gb/h} \approx 1.629 × 10^{-5} \text{ TB/min}$

Real World Examples

Here are some real-world examples for different quantities of Gigabits per hour:

1. 10 Gigabits per hour (Gb/h)

   • Base 10: $10 \text{ Gb/h} \approx 1.6667 × 10^{-4} \text{ TB/min}$
   • Base 2: $10 \text{ Gb/h} \approx 1.629 × 10^{-4} \text{ TB/min}$

2. 100 Gigabits per hour (Gb/h)

   • Base 10: $100 \text{ Gb/h} \approx 1.6667 × 10^{-3} \text{ TB/min}$
   • Base 2: $100 \text{ Gb/h} \approx 1.629 × 10^{-3} \text{ TB/min}$

3. 1000 Gigabits per hour (Gb/h)

   • Base 10: $1000 \text{ Gb/h} \approx 1.6667 × 10^{-2} \text{ TB/min}$
   • Base 2: $1000 \text{ Gb/h} \approx 1.629 × 10^{-2} \text{ TB/min}$

These examples illustrate the conversion between Gigabits per hour and Terabytes per minute in both decimal and binary systems.