Terabytes per day to Megabits per hour conversion

How to convert terabytes per day to megabits per hour?

Converting 1 Terabyte per day (TB/day) to Megabits per hour (Mb/hr) involves several steps and takes into account the distinction between base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal System)

In the decimal system: 1 Terabyte (TB) = 1,000,000,000,000 bytes (B) 1 Byte (B) = 8 bits (b) Therefore: 1 TB = 1,000,000,000,000 bytes * 8 bits/byte = 8,000,000,000,000 bits (b)

To find the rate per day: Since there are 24 hours in a day, Rate in bits per hour = $\frac{8,000,000,000,000 \text{ bits}}{24 \text{ hours}} = 333,333,333,333.33 \text{ bits/hr}$

Convert bits per hour to Megabits per hour: 1 Megabit (Mb) = 1,000,000 bits Rate in Mb/hr = $\frac{333,333,333,333.33 \text{ bits/hr}}{1,000,000 \text{ bits/Mb}} = 333,333.33 \text{ Mb/hr}$

Base 2 (Binary System)

In the binary system: 1 Terabyte (TB) = 1,099,511,627,776 bytes (B) (since 1 TB = 2^40 bytes) 1 Byte (B) = 8 bits (b) Therefore: 1 TB = 1,099,511,627,776 bytes * 8 bits/byte = 8,796,093,022,208 bits (b)

To find the rate per day: Since there are 24 hours in a day, Rate in bits per hour = $\frac{8,796,093,022,208 \text{ bits}}{24 \text{ hours}} = 366,503,875,925.33 \text{ bits/hr}$

Convert bits per hour to Megabits per hour: 1 Megabit (Mb) = 1,048,576 bits (since 1 Mb = 2^20 bits) Rate in Mb/hr = $\frac{366,503,875,925.33 \text{ bits/hr}}{1,048,576 \text{ bits/Mb}} \approx 349,525.33 \text{ Mb/hr}$

Summary

• Decimal System: 1 TB/day = 333,333.33 Mb/hr
• Binary System: 1 TB/day ≈ 349,525.33 Mb/hr

Real-World Examples of Different Quantities of Terabytes per Day

1. Social Media Platform:

   • 5 TB/day: This could be the daily data ingestion rate of a small to mid-sized social media platform.
   • Decimal: 1,666,666.67 Mb/hr
   • Binary: ≈ 1,747,626.65 Mb/hr

2. Streaming Service (e.g., Netflix):

   • 50 TB/day: The data stream delivered by a large streaming service to its users could easily be in this range.
   • Decimal: 16,666,666.67 Mb/hr
   • Binary: ≈ 17,476,266.50 Mb/hr

3. Online Marketplaces (e.g., Amazon):

   • 100 TB/day: Larger e-commerce platforms generate massive amounts of data related to transactions, browsing behavior, etc.
   • Decimal: 33,333,333.33 Mb/hr
   • Binary: ≈ 34,952,533.00 Mb/hr

4. Scientific Research (e.g., CERN):

   • 1,000 TB/day: High-energy physics experiments generate huge volumes of data to be analyzed.
   • Decimal: 333,333,333.33 Mb/hr
   • Binary: ≈ 349,525,330.00 Mb/hr

These examples help demonstrate the scale and data transfer rates needed for various industries and types of services.