Tebibits per day to Megabits per second conversion

How to convert tebibits per day to megabits per second?

Certainly! To convert Tebibits per day (Tibit/day) to Megabits per second (Mbps), you need to account for the number of seconds in a day and the conversion between Tebibits and Megabits. Let's look at this in detail for both base 2 and base 10.

Base 2 (Binary)

1 Tebibit (Tibit) = 2^40 bits 1 Megabit (Mbit) = 2^20 bits

There are 24 hours in a day, 60 minutes in an hour, and 60 seconds in a minute:

$1 \text{ day} = 24 \times 60 \times 60 = 86400 \text{ seconds}$

First, convert 1 Tebibit to bits:

$1 \text{ Tibit} = 2^{40} \text{ bits}$

Now, let's find the equivalent number of bits per second:

$\text{bits per second} = \frac{2^{40} \text{ bits}}{86400 \text{ seconds}}$

$\approx \frac{1.0995 \times 10^{12} \text{ bits}}{86400 \text{ seconds}}$

$\approx 1.273 \times 10^{7} \text{ bits per second}$

Since 1 Megabit (Mbit) = 2^{20} bits:

$\text{Mbps} = \frac{1.273 \times 10^{7} \text{ bits per second}}{2^{20}}$

$\approx 12.14 \text{ Mbps}$

Base 10 (Decimal)

1 Tebibit (Tibit) = 10^12 bits 1 Megabit (Mbit) = 10^6 bits

Using the same 86400 seconds in a day:

Convert 1 Tebibit to bits:

$1 \text{ Tibit} = 10^{12} \text{ bits}$

Now, let's find the equivalent number of bits per second:

$\text{bits per second} = \frac{10^{12} \text{ bits}}{86400 \text{ seconds}}$

$\approx 1.157 \times 10^7 \text{ bits per second}$

Since 1 Megabit (Mbit) = 10^6 bits:

$\text{Mbps} = \frac{1.157 \times 10^7 \text{ bits per second}}{10^6}$

$\approx 11.57 \text{ Mbps}$

Summary:

• Base 2 conversion: 1 Tebibits per day ≈ 12.14 Mbps
• Base 10 conversion: 1 Tebibits per day ≈ 11.57 Mbps

Real World Examples

Here are some real-world examples for different quantities of Tebibits per day:

1. Typical business data transfer: 10 Tebibits per day

   • Base 2: $10 \times 12.14 \approx 121.4 \text{ Mbps}$
   • Base 10: $10 \times 11.57 \approx 115.7 \text{ Mbps}$

2. Cloud storage provider: 100 Tebibits per day

   • Base 2: $100 \times 12.14 \approx 1214 \text{ Mbps}$
   • Base 10: $100 \times 11.57 \approx 1157 \text{ Mbps}$

3. Large-scale data center: 500 Tebibits per day

   • Base 2: $500 \times 12.14 \approx 6070 \text{ Mbps}$
   • Base 10: $500 \times 11.57 \approx 5785 \text{ Mbps}$