Mebibits per second to Kibibytes per day conversion

How to convert mebibits per second to kibibytes per day?

To convert 1 Mebibit per second (Mibps or Mbit/s) to Kibibytes per day, we need to understand the different units involved and their relationships in both base 2 (binary) and base 10 (decimal).

First, let's break down the units:

1. Mebibit (Mibit): 1 Mibit = 1,048,576 bits (2^20 bits) in base 2.
2. Kibibyte (KiB): 1 KiB = 1,024 bytes (2^10 bytes) in base 2.
3. Day: 1 day = 24 hours = 24 * 60 minutes = 24 * 60 * 60 seconds = 86,400 seconds.

Conversion Steps:

1. Convert Mebibits per second to bits per second:

   • 1 Mibps = 1,048,576 bits per second (base 2).

2. Convert bits per second to bytes per second:

   • Since there are 8 bits in a byte, 1,048,576 bits per second = 1,048,576 / 8 bytes per second = 131,072 bytes per second.

3. Convert bytes per second to Kibibytes per second:

   • Since 1 Kibibyte (KiB) = 1,024 bytes, 131,072 bytes per second = 131,072 / 1,024 KiB per second = 128 KiB per second.

4. Convert Kibibytes per second to Kibibytes per day:

   • 128 KiB per second * 86,400 seconds in a day = 11,059,200 KiB per day.

So, in base 2, 1 Mibps = 11,059,200 Kibibytes per day.

In base 10 (if using decimal system instead of binary, commonly used in telecommunications, but less exact for computing):

1. Convert Mebibits (Mb) per second to bits per second:

   • 1 Mb = 1,000,000 bits (10^6 bits).

2. Convert bits per second to bytes per second:

   • 1,000,000 bits per second = 1,000,000 / 8 bytes per second = 125,000 bytes per second.

3. Convert bytes per second to Kilobytes per second (KBps):

   • Since 1 Kilobyte (KB) = 1,000 bytes, 125,000 bytes per second = 125 KB per second.

4. Convert Kilobytes per second to Kilobytes per day:

   • 125 KB per second * 86,400 seconds per day = 10,800,000 KB per day.

So, in base 10, 1 Mibps = 10,800,000 Kilobytes per day.

Real-World Examples for Other Quantities in Mebibits per Second

1. Internet Connection:

   • A high-speed fiber optic internet connection might provide 1 Gbps (Gigabit per second). In Mebibits per second, this would be 1,000 Mbps (since 1 Gbps = 1,000 Mbps).

2. Streaming Video:

   • A standard definition video stream can require around 3 Mbps. In Mebibits per second, this is 3 Mibps, roughly (since it's common to use base 10 for internet bandwidth, though).

3. Large File Transfers:

   • Transferring a 10 GB file (base 10 GB, where 1 GB = 1,000 MB) over a network with 20 Mibps speed would take approximately 4,194.3 seconds or about 1.2 hours.

Understanding the differences between base 2 and base 10 is crucial when dealing with data units in various contexts, particularly in computing and telecommunications.