Gigabits per hour to Gibibits per second conversion

How to convert gigabits per hour to gibibits per second?

Sure, let's walk through the conversion of 1 Gigabit per hour (Gb/h) to Gibibits per second (Gib/s), considering both base 10 and base 2 possibilities.

Base 10 Conversion

1. Understand the units:

   • 1 Gigabit per hour (Gb/h) is $10^9$ bits per hour.
   • 1 Gigabit = $10^9$ bits
   • 1 hour = 3600 seconds

2. Convert Gb/h to bits per second (bps):

   • 1 Gb/h = $10^9$ bits/hour
   • $10^9$ bits/hour = $\frac{10^9 \text{ bits}}{3600 \text{ seconds}}$
   • $\approx 277,777.78$ bits per second (bps)

3. Convert bits per second to Gibibits per second:

   • 1 Gibibit (Gib) = $2^{30}$ bits = 1,073,741,824 bits
   • $\approx 277,777.78 \text{ bps} \times ( \frac{1 \text{ Gib}}{1,073,741,824 \text{ bits}} )$
   • $\approx 0.000258 Gib/s$

Base 2 Conversion

1. Understand the units:

   • In base 2, you could interpret 1 Gigabit as $2^{30}$ bits, but this is typically less common and often misinterpreted.

2. Since we typically adhere to base 10 for Gigabit notations:

   • We stick with the above base 10 conversion since base 2 (binary) for Gigabits is non-standard.

Real World Examples in Gigabits per Hour (Gb/h)

1. Streaming Services:

   • Suppose a video streaming service uses about 5 Mbps for streaming HD video.
   • 5 Mbps = $5 \times 3600$ Megabits per hour
   • $5 \times 3600 = 18,000$ Megabits per hour or 18 Gigabits per hour

2. Download Speed:

   • If a user has an internet connection of 100 Mbps:
   • 100 Mbps = $100 \times 3600$ Megabits per hour
   • $100 \times 3600 = 360,000$ Megabits per hour
   • $360,000 \text{ Megabits/hour} \div 1000 \text { Megabits/Gigabit} = 360 \text{ Gigabits/hour}$

3. Data Transfer for Sensor Networks:

   • If a sensor network operation generates 50 Mbps of data:
   • 50 Mbps = $50 \times 3600$ Megabits per hour
   • $50 \times 3600 = 180,000$ Megabits per hour
   • $180,000 \text{ Megabits/hour} = 180 \text{ Gigabits/hour}$

Through understanding these fundamental conversions and real-world examples, you can grasp the relationship and practical scenarios where data rates like Gigabits per hour are used.