Terabits per second to Bytes per day conversion

How to convert terabits per second to bytes per day?

Sure, let's first understand the conversion factors and then proceed with the calculations for both base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal) Conversion

1. Terabits to Bits:

   • 1 Terabit (Tbit) = 10^12 bits.

2. Bits to Bytes:

   • 1 Byte = 8 bits,
   • Therefore, $1\, \text{Tbit} = \frac{10^{12}}{8} \, \text{Bytes} = 125 \times 10^9 \, \text{Bytes}$.

3. Terabits per second to Bytes per second:

   • 1 Tbit/second = 125 billion Bytes/second.

4. Seconds to Days:

   • 1 day = 24 hours = 24 × 3600 seconds = 86,400 seconds.

5. Bytes per second to Bytes per day:

   • Bytes per day = Bytes per second × seconds per day
   • Bytes per day = $125 \times 10^9 \, \text{Bytes/second} \times 86,400 \, \text{seconds/day}$
   • Bytes per day = $10.8 \times 10^{15}$ Bytes.

Base 2 (Binary) Conversion

1. Terabits to Bits:

   • 1 Terabit (Tbit) = 2^40 bits.

2. Bits to Bytes:

   • 1 Byte = 8 bits
   • Therefore, $1\, \text{Tbit} = \frac{2^{40}}{8} \, \text{Bytes} = 2^{37} \, \text{Bytes}$.

3. Terabits per second to Bytes per second:

   • 1 Tbit/second = $2^{37}$ Bytes/second.

4. Seconds to Days:

   • 1 day = 24 × 3600 seconds = 86,400 seconds.

5. Bytes per second to Bytes per day:

   • Bytes per day = Bytes per second × seconds per day
   • Bytes per day = $2^{37} \, \text{Bytes/second} \times 86,400 \, \text{seconds/day}$
   • Bytes per day = $11,529,215,046,656$ Bytes
   • Bytes per day ≈ $11.5 \times 10^{15}$ Bytes.

Real World Examples for Other Quantities of Terabits per Second

1. 10 Gbps Ethernet (10 Gigabits per second):

   • Though not Terabit, high-speed internet connections and local area networks often use 10 Gbps speeds.
   • $10 \, \text{Gbps} = 0.01 \, \text{Tbps}$.

2. Data Centers and Backbone Networks:

   • Major internet backbone providers like Google's, Facebook's or AWS's internal network might regularly handle 4-5 Tbps.
   • $4 \, \text{Tbps}$ means 4 times the calculations we made above.

3. Scientific Data Transfers:

   • Large scale scientific research facilities like the Large Hadron Collider (LHC) may require data transfer capabilities exceeding 1 Tbps for experiments involving massive amounts of sensor data.

4. Streaming Services:

   • Distributed Content Delivery Networks (CDNs) designed to handle something like Netflix streaming can exceed several Terabits per second during peak times, especially when rolling out new releases globally.

Summary:

For 1 Terabit per second:

• In the Decimal system: $\approx 10.8 \times 10^{15}$ Bytes per day.
• In the Binary system: $\approx 11.5 \times 10^{15}$ Bytes per day.

This illustrates that the choice of base can affect the conversion results, although they remain in the same order of magnitude, $10^{15}$ Bytes per day.