Megabits per day to Tebibytes per day conversion

How to convert megabits per day to tebibytes per day?

To convert from Megabits per day to Tebibytes per day, we need to understand the following conversions:

1. Megabits to Tebibytes:

   • Base 10 (decimal): 1 Megabit (Mb) = 10^6 bits; 1 Terabyte (TB) = 10^12 bytes (B); 1 Tebibyte (TiB) = 2^40 bytes (B).
   • Base 2 (binary): 1 Megabit (Mb) = 2^20 bits; 1 Tebibyte (TiB) = 2^40 bytes (B).

2. Bits to Bytes:

   • 1 byte = 8 bits.

Base 10 Conversion

1. Convert Megabits to bits: $1 \text{ Megabit} = 10^6 \text{ bits}$

2. Convert bits to bytes: $1 \text{ Megabit} = \frac{10^6 \text{ bits}}{8} = 125,000 \text{ bytes}$

3. Convert bytes to Terabytes: $1 \text{ Megabit} = \frac{125,000 \text{ bytes}}{10^{12}} = 1.25 \times 10^{-7} \text{ Terabytes}$

4. Convert Terabytes to Tebibytes: Since 1 Tebibyte = $\frac{10^12 \text{ bytes}}{2^{40} \text{ bytes}}$, $1 \text{ Terabyte} ≈ 0.909495 TiB$

   Therefore, $1.25 \times 10^{-7} \text{ Terabytes} × 0.909495 = 1.136869 \times 10^{-8} \text{ Tebibytes}$

Base 2 Conversion

1. Convert Megabits to bits: $1 \text{ Megabit} = 2^{20} \text{ bits } = 1,048,576 \text{ bits}$

2. Convert bits to bytes: $1 \text{ Megabit} = \frac{2^{20} \text{ bits}}{8} = 2^{17} = 131,072 \text{ bytes}$

3. Convert bytes to Tebibytes (since TiB uses the binary base): $1 \text{ Megabit} = \frac{2^{17} \text{ bytes}}{2^{40} \text{ bytes}} = 2^{-23} \text{ Tebibytes} = 1.19209 \times 10^{-7} \text{ Tebibytes}$

Summary

• Base 10 Result: 1 Mb/day ≈ 1.136869 × 10^-8 TiB/day
• Base 2 Result: 1 Mb/day ≈ 1.19209 × 10^-7 TiB/day

Real-World Examples

1. 10 Mbps internet connection:

   • Base 10: $10 \, \text{Mb/day} \approx 1.136869 \times 10^{-7} \times 10 = 1.136869 \times 10^{-6} \text{ TiB/day}$
   • Base 2: $10 \, \text{Mb/day} \approx 1.19209 \times 10^{-7} \times 10 = 1.19209 \times 10^{-6} \text{TiB/day}$

2. Streaming 4K video at 25 Mbps:

   • Base 10: $25 \, \text{Mb/day} \approx 1.136869 \times 10^{-7} \times 25 = 2.8421725 \times 10^{-6} \text{TiB/day}$
   • Base 2: $25 \, \text{Mb/day} \approx 1.19209 \times 10^{-7} \times 25 = 2.980225 \times 10^{-6} \text{TiB/day}$

3. Corporate network transfer at 1000 Mbps:

   • Base 10: $1000 \, \text{Mb/day} \approx 1.136869 \times 10^{-7} \times 1000 = 1.136869 \times 10^{-4} \text{ TiB/day}$
   • Base 2: $1000 \, \text{Mb/day} \approx 1.19209 \times 10^{-7} \times 1000 = 1.19209 \times 10^{-4} \text{TiB/day}$