Terabytes per second to Gigabits per day conversion

How to convert terabytes per second to gigabits per day?

To convert 1 Terabyte per second (TBps) to Gigabits per day (Gb/day), we need to do the following calculations for both, the base 10 (metric system) and base 2 (binary system).

Base 10 (Metric System)

1. Understanding the conversion factors:

   • 1 Terabyte (TB) = 1,000,000,000,000 bytes (B)
   • 1 byte (B) = 8 bits (b)
   • 1 Terabyte per second (TBps) = 1,000,000,000,000 bytes per second (Bps) = 8,000,000,000,000 bits per second (bps)
   • 1 Gigabit (Gb) = 1,000,000,000 bits (b)
   • 1 day = 86,400 seconds (24 hours × 60 minutes × 60 seconds)

2. Converting TBps to bps:

   • 1 TBps = 8,000,000,000,000 bps

3. Calculating bits per day:

   • Bits per day = 8,000,000,000,000 bps × 86,400 seconds
   • Bits per day = 691,200,000,000,000,000 bits

4. Converting bits per day to Gigabits per day:

   • Gigabits per day = 691,200,000,000,000,000 bits / 1,000,000,000 bits/Gb
   • Gigabits per day = 691,200,000 Gb/day

Base 2 (Binary System)

1. Understanding the conversion factors:

   • 1 Terabyte (TiB) = 1,099,511,627,776 bytes (B)
   • 1 byte (B) = 8 bits (b)
   • 1 Terabyte per second (TiBps) = 1,099,511,627,776 bytes per second (Bps) = 8,796,093,022,208 bits per second (bps)
   • 1 Gigabit (Gb) = 1,073,741,824 bits (b)
   • 1 day = 86,400 seconds (24 hours × 60 minutes × 60 seconds)

2. Converting TiBps to bps:

   • 1 TiBps = 8,796,093,022,208 bps

3. Calculating bits per day:

   • Bits per day = 8,796,093,022,208 bps × 86,400 seconds
   • Bits per day = 759,790,077,972,439,552 bits

4. Converting bits per day to Gigabits per day:

   • Gigabits per day = 759,790,077,972,439,552 bits / 1,073,741,824 bits/Gb
   • Gigabits per day ≈ 707,788,800 Gb/day

Real World Examples

1 Terabyte per second is an extraordinarily high data rate. Here are a few real-world examples with different data rates for context:

1. Streaming Video (HD and 4K):

   • HD Video: Streaming a movie in HD typically requires about 5 megabits per second (Mbps). So in 1 second, you could stream approximately 160,000 simultaneous HD video streams with 1 TBps.
   • 4K Ultra HD Video: Streaming a 4K movie requires about 25 Mbps. With 1 TBps, you could stream approximately 40,000 simultaneous 4K video streams.

2. Large Data Centers:

   • Data centers often operate with very high data rates. A data center handling large volumes of internet traffic or cloud storage might reach several terabytes per second in their internal network or connectivity to the internet.

3. Scientific Research:

   • Large Hadron Collider (LHC): The LHC at CERN generates petabytes of data per second from its experiments. Handling and transferring this enormous amount of data requires very high data rates.

4. High-frequency Trading:

   • In financial markets, high-frequency trading firms need to process huge amounts of market data in real-time, and while these may not reach TBps, they do scale to multiple gigabytes per second.

Understanding these quantities in real-world terms highlights just how immense 1 TBps is and how critical such data rates can be in specific cutting-edge technological and scientific domains.