Kibibits per hour to Bytes per day conversion

How to convert kibibits per hour to bytes per day?

To convert 1 Kibibit per hour (Kibit/h) to Bytes per day (B/day), you need to understand the relationship between these units and the difference between their base 2 and base 10 interpretations.

Here's how you can perform the conversions step-by-step for both base 2 and base 10:

Base 2 Conversion

1. Convert Kibibits to Bits:

   • 1 Kibibit (Kibit) = $2^{10}$ bits = 1024 bits.

2. Convert Bits to Bytes:

   • 1 Byte = 8 bits,
   • Therefore, 1024 bits = $\frac{1024}{8}$ Bytes = 128 Bytes.

3. Convert Hours to Days:

   • There are 24 hours in a day.

4. Calculate Bytes per Day:

   • If you have 1 Kibibit per hour (128 Bytes per hour),
   • In one day: $128 \text{ Bytes/hour} \times 24 \text{ hours/day} = 3072 \text{ Bytes/day}$.

Base 10 Conversion

1. Convert Kibibits to Kilobits:

   • 1 Kibibit (Kibit) = 1.024 Kilobits (Kb) because 1024 bits = 1 Kibibit, and in base 10, 1 Kb = 1000 bits.

2. Convert Kilobits to Bits:

   • 1 Kb = 1000 bits,
   • Therefore, 1 Kibibit (Kibit) = 1.024 Kb × 1000 bits = 1024 bits (same as base 2 since initial conversion was based on 1024 bits in a Kibibit).

3. Convert Bits to Bytes:

   • 1 Byte = 8 bits,
   • Therefore, 1024 bits = 128 Bytes (same as base 2).

4. Convert Hours to Days:

   • There are 24 hours in a day.

5. Calculate Bytes per Day:

   • If you have 1 Kibibit per hour (128 Bytes per hour),
   • In one day: $128 \text{ Bytes/hour} \times 24 \text{ hours/day} = 3072 \text{ Bytes/day}$.

In this particular conversion, both base 2 and base 10 result in the same calculation since the initial conversion factors result in the same numerical values.

Real-World Examples for Other Quantities of Kibibits per Hour

1. 10 Kibibits per hour:

   • 10 Kibibits/h = 10 × 128 Bytes/h = 1280 Bytes/h.
   • In one day: 1280 Bytes/h × 24 hours/day = 30,720 Bytes/day.

2. 50 Kibibits per hour:

   • 50 Kibibits/h = 50 × 128 Bytes/h = 6400 Bytes/h.
   • In one day: 6400 Bytes/h × 24 hours/day = 153,600 Bytes/day.

3. 100 Kibibits per hour:

   • 100 Kibibits/h = 100 × 128 Bytes/h = 12,800 Bytes/h.
   • In one day: 12,800 Bytes/h × 24 hours/day = 307,200 Bytes/day.

These examples illustrate how various quantities of data transfer rates measured in Kibibits per hour translate to Bytes per day, using consistent steps in base 2 and base 10.