Gigabits per second to Tebibits per day conversion

How to convert gigabits per second to tebibits per day?

Sure, I can explain how to convert 1 Gigabit per second (Gbps) to Tebibits per day (Tib/day) for both base 10 and base 2.

Conversion Basics:

1. Gigabit (Gb):

   • Base 10: 1 Gigabit = 10^9 bits
   • Base 2: 1 Gigabit (often referred to as a Gibibit or Gib) = 2^30 bits (1,073,741,824 bits)

2. Tebibit (Tib):

   • Base 10: 1 Tebibit = 10^12 bits
   • Base 2: 1 Tebibit = 2^40 bits (1,099,511,627,776 bits)

Step-by-Step Conversion:

Base 10:

1. Convert Gbps to bits per second:

   • 1 Gbps = 10^9 bits per second

2. Convert bits per second to bits per day:

   • There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute.
   • Therefore, 1 day = 24 * 60 * 60 = 86,400 seconds.
   • So, 1 Gbps = 10^9 bits/second * 86,400 seconds/day = 86,400 * 10^9 bits/day = 8.64 * 10^13 bits/day

3. Convert bits per day to Tebibits per day:

   • 1 Tib = 10^12 bits
   • Therefore, 8.64 * 10^13 bits/day ÷ 10^12 bits/Tib = 86.4 Tib/day

Base 2:

1. Convert Gbps to bits per second:

   • 1 Gbps (1 Gibps) = 2^30 bits per second

2. Convert bits per second to bits per day:

   • 1 day = 86,400 seconds
   • So, 1 Gbps = 2^30 bits/second * 86,400 seconds/day = 86,400 * 1,073,741,824 bits/day = 92,233,720,368,640 bits/day or 92.2337 * 10^12 bits/day

3. Convert bits per day to Tebibits per day:

   • 1 Tib = 2^40 bits
   • So, 92,233,720,368,640 bits/day ÷ 1,099,511,627,776 bits/Tib = 84 Tib/day

Summary:

• Base 10: 1 Gbps is equivalent to 86.4 Tib/day.
• Base 2: 1 Gbps is equivalent to 84 Tib/day.

Real-World Examples:

1. 10 Gbps Ethernet:

   • Commonly used in data centers and high-speed enterprise networks.
   • Conversion: 10 Gbps (Base 10) = 864 Tib/day, (Base 2) = 840 Tib/day.

2. 1 Gbps Home Internet:

   • A fast home internet connection in many countries.
   • Conversion: 1 Gbps (Base 10) = 86.4 Tib/day, (Base 2) = 84 Tib/day.

3. 100 Gbps Backbone Connection:

   • Used by ISPs for large-scale data transfer between data centers.
   • Conversion: 100 Gbps (Base 10) = 8,640 Tib/day, (Base 2) = 8,400 Tib/day.

4. 5 Gbps USB 3.0:

   • High-speed data transfer rate for USB 3.0 ports.
   • Conversion: 5 Gbps (Base 10) = 432 Tib/day, (Base 2) = 420 Tib/day.

These conversions help in understanding the data transfer capabilities and requirements of different systems and standards.