Terabits per second to Gigabits per day conversion

How to convert terabits per second to gigabits per day?

Converting 1 Terabit per second (Tbps) to Gigabits per day requires you to take into account the number of seconds in a day and then perform the unit conversion from Terabits to Gigabits.

Base 10 Conversion

In base 10, the relationships between the units are:

• 1 Terabit (Tb) = 1,000 Gigabits (Gb)
• 1 second = 1 second
• 1 day = 24 hours = 24 * 60 minutes = 24 * 60 * 60 seconds = 86,400 seconds

To convert 1 Tbps to Gb per day in base 10:

1. Calculate the number of Terabits per day: $1 \text{ Tbps} \times 86,400 \text{ seconds/day} = 86,400 \text{ Tb/day}$

2. Convert Terabits to Gigabits: $86,400 \text{ Tb/day} \times 1,000 \text{ Gb/Tb} = 86,400,000 \text{ Gb/day}$

So, in base 10, 1 Tbps equals 86,400,000 Gigabits per day.

Base 2 Conversion

In base 2, the relationships are slightly different:

• 1 Terabit (Tb) = 2^40 bits
• 1 Gigabit (Gb) = 2^30 bits
• Therefore, 1 Terabit = $\frac{2^{40}}{2^{30}} = 2^{10} = 1,024$ Gigabits

Using the same number of seconds in a day:

1. Calculate the number of Terabits per day: $1 \text{ Tbps} \times 86,400 \text{ seconds/day} = 86,400 \text{ Tb/day}$

2. Convert Terabits to Gigabits: $86,400 \text{ Tb/day} \times 1,024 \text{ Gb/Tb} = 88,473,600 \text{ Gb/day}$

So, in base 2, 1 Tbps equals 88,473,600 Gigabits per day.

Real-World Examples

To give you a sense of scale, let's look at some practical examples:

• 100 Gbps Ethernet: In contemporary high-performance computer networks, 100 Gigabits per second (Gbps) Ethernet links are common in data centers or for backbone internet connections.

  • Base 10 conversion to Gb/day: $ 100 \text{ Gbps} = 100 \text{ $\times$ 86,400} = 8,640,000 \text{ Gigabits/day} $

• 10 Tbps Backbone Network: Some Tier 1 internet service providers might have backbone links capable of 10 Terabits per second (Tbps) to support vast amounts of internet traffic across continents.

  • Base 10 conversion to Gb/day: $10 \text{ Tbps} = 10 \times 86,400,000 \text{ Gb/day} = 864,000,000 \text{ Gigabits/day}$

• 1.5 Tbps DDoS Attack: Large-scale Distributed Denial of Service (DDoS) attacks could reach peaks of 1.5 Tbps.

  • Base 10 conversion to Gb/day: $1.5 \text{ Tbps} = 1.5 \times 86,400,000 \text{ Gb/day} = 129,600,000 \text{ Gigabits/day}$

These provide contextual examples of large-scale data rates in both commercial and malicious situations, illustrating the significance of high Tbps data rates in real-world applications.