Mebibits per second to Kilobytes per day conversion

How to convert mebibits per second to kilobytes per day?

Certainly! Let's break down the conversion of 1 Mebibit per second (Mibps) to Kilobytes per day, considering both base 2 and base 10 differences.

Base 2 Conversion (BiBinary)

1. Convert Mebibits to Kibibytes:

   • 1 Mebibit (Mibit) = 1,048,576 bits (since 1 Mebibit = 2^20 bits)
   • 1 Kilobyte (KB) = 1,024 bytes (since 1 Kilobyte = 2^10 bytes)
   • 1 byte = 8 bits

   So,

   $\text{1 Mebibit} = \frac{1,048,576 \text{ bits}}{8} = 131,072 \text{ bytes}$

2. Convert bytes to Kibibytes:

   $\text{131,072 bytes} = \frac{131,072 \text{ bytes}}{1,024} = 128 \text{ KiB} \text{ (Kibibytes)}$

3. Convert per second to per day:

   • There are 86,400 seconds in a day (24 hours * 60 minutes * 60 seconds)

   So,

   $1 \text{ Mibps} = 128 \text{ KiB/sec}$

   $128 \text{ KiB/sec} \times 86,400 \text{ seconds/day} = 11,059,200 \text{ KiB/day}$

Per second to per day in base 10 (Decimal)

1. Convert Mebibits to Kilobytes:

   • 1 Mebibit = 1,048,576 bits (same as base 2)
   • 1 Kilobyte = 1000 bytes (base 10 conversion)
   • 1 byte = 8 bits

   So,

   $\text{1 Mebibit} = \frac{1,048,576 \text{ bits}}{8} = 131,072 \text{ bytes}$

2. Convert bytes to Kilobytes (decimal):

   $\text{131,072 bytes} = \frac{131,072 \text{ bytes}}{1,000} = 131.072 \text{ KB}$

3. Convert per second to per day:

   $1 \text{ Mibps} = 131.072 \text{ KB/sec}$

   $131.072 \text{ KB/sec} \times 86,400 \text{ seconds/day} = 11,339,212.8 \text{ KB/day}$

Real World Examples:

1. Streaming Video:

   • A standard definition (SD) video stream on a service like Netflix may use around 3 Mibps. Over a day, this would equate to:
     • Base 2: $3 \times 11,059,200 \text{ KiB/day} = 33,177,600 \text{ KiB/day}$
     • Base 10: $3 \times 11,339,212.8 \text{ KB/day} = 34,017,638.4 \text{ KB/day}$

2. Internet Speed:

   • A broadband internet speed of 25 Mibps (typical for some home internet services):
     • Base 2: $25 \times 11,059,200 \text{ KiB/day} = 276,480,000 \text{ KiB/day}$
     • Base 10: $25 \times 11,339,212.8 \text{ KB/day} = 283,480,320 \text{ KB/day}$

3. File Download:

   • If you are downloading a software update at 10 Mibps:
     • Base 2: $10 \times 11,059,200 \text{ KiB/day} = 110,592,000 \text{ KiB/day}$
     • Base 10: $10 \times 11,339,212.8 \text{ KB/day} = 113,392,128 \text{ KB/day}$

These conversions help clarify how data transfer rates accumulate over time and the potential volume of data that can be transferred.