Mebibits per day to Terabytes per second conversion

How to convert mebibits per day to terabytes per second?

Certainly! To convert from Mebibits per day to Terabytes per second, you need to follow a couple of steps:

1. Convert Mebibits to Bits: Since there are $2^{20} = 1,048,576$ bits in a Mebibit (MiB).
2. Convert Days to Seconds: Since there are 86,400 seconds in a day.
3. Deal with different bases: When converting to Terabytes, you need to decide whether you are using the base 2 (binary) or base 10 (decimal) definition of a Terabyte.

Base 2 Conversions (Binary):

1. Convert Mebibits to Bits: $1 \text{ Mib/day} = 1 \times 1,048,576 \text{ bits/day}$
2. Convert Bits per Day to Bits per Second: $1,048,576 \text{ bits/day} \times \frac{1 \text{ day}}{86,400 \text{ seconds}} \approx 12.135 \text{ bits/second}$
3. Convert Bits per Second to Terabytes per Second (Base 2): Since 1 Tebibyte (TiB) = $2^{40}$ bits, $1 \text{ TiB} = 1,099,511,627,776 \text{ bits}$ Therefore, $12.135 \text{ bits/second} \times \frac{1 \text{ TiB}}{1,099,511,627,776 \text{ bits}} \approx 1.10 \times 10^{-11} \text{ TiB/second}$

Base 10 Conversions (Decimal):

1. Convert Mebibits to Bits: $1 \text{ Mib/day} = 1 \times 1,048,576 \text{ bits/day}$
2. Convert Bits per Day to Bits per Second: $1,048,576 \text{ bits/day} \times \frac{1 \text{ day}}{86,400 \text{ seconds}} \approx 12.135 \text{ bits/second}$
3. Convert Bits per Second to Terabytes per Second (Base 10): Since 1 Terabyte (TB) = $10^{12}$ bits, $1 \text{ TB} = 1,000,000,000,000 \text{ bits}$ Therefore, $12.135 \text{ bits/second} \times \frac{1 \text{ TB}}{1,000,000,000,000 \text{ bits}} \approx 1.2135 \times 10^{-11} \text{ TB/second}$

Real-world Examples:

1 MiB/day:

• Emails: Basic text emails without attachments. Depending on the text size, it could account for a few emails per day.
• IoT Devices: A very low data rate IoT device transmitting basic sensor information at regular intervals could easily fall in this data rate range.

100 MiB/day:

• Web Browsing: Light web browsing without video streaming or large downloads.
• Smart Meters: Some smart meters might transmit daily readings that amount to around 100 MiB/day.

10,000 MiB/day:

• Streaming: A conservative amount of standard-definition video streaming. Can be consumed within a couple of hours of surfing the internet with video included.
• Medium-sized Businesses: Daily data usage by a medium-sized business when considering moderate email traffic, web usage, and data backup operations.

1,000,000 MiB/day:

• Large Enterprises: Data centers or large corporations with high volume data operations.
• Cloud Services: Large scale operations involving cloud-based applications, where substantial daily data transfer happens.

Keeping these examples in mind can help you understand various scales of Mebibits per day and their practical relevance in real-world situations.