Kibibits per day to Bytes per second conversion

How to convert kibibits per day to bytes per second?

Conversion Overview:

To convert Kibibits per day to Bytes per second, you need to follow these steps:

1. Convert Kibibits to bits (since "Kibi" means 1024 in base 2).
2. Convert bits to seconds per day (since "day" means 24 hours).
3. Convert bits to Bytes (since 1 Byte = 8 bits).

Conversion Steps:

Base 2 (Binary):

1 Kibibit (Kibit) = 1024 bits (because 1 Kibibit = 2^10 bits)

One day = 24 hours = 24 x 60 minutes = 24 x 60 x 60 seconds = 86400 seconds

1 Kibibit per day: $\text{Bits per day} = 1 \times 1024 \ \text{bits}$

$\text{Bits per second} = \frac{1024 \ bits}{86400 \ seconds}$

$\text{Bytes per second (Base 2)} = \frac{1024 \ \text{bits}}{86400 \ \text{seconds}} \div 8$ $\approx 0.00148 \ \text{Bytes per second}$

Base 10 (Decimal):

1 Kilobit (Kb) = 1000 bits (since "Kilo" in base 10 means 1000 bits)

1 Kilobit (Kb) per day: $\text{Bits per day} = 1 \times 1000 \ \text{bits}$

$\text{Bits per second} = \frac{1000 \ bits}{86400 \ seconds}$

$\text{Bytes per second (Base 10)} = \frac{1000 \ \text{bits}}{86400 \ \text{seconds}} \div 8$ $\approx 0.00145 \ \text{Bytes per second}$

Real World Examples:

Here are some practical scenarios using different quantities of Kibibits per day:

1. 10 Kibibits per day:

   • Base 2: $\frac{10 \times 1024}{86400} \div 8 \approx 0.0148 \ \text{Bytes per second}$
   • Base 10: $\frac{10 \times 1000}{86400} \div 8 \approx 0.0145 \ \text{Bytes per second}$

2. 100 Kibibits per day:

   • Base 2: $\frac{100 \times 1024}{86400} \div 8 \approx 0.148 \ \text{Bytes per second}$
   • Base 10: $\frac{100 \times 1000}{86400} \div 8 \approx 0.145 \ \text{Bytes per second}$

3. 1000 Kibibits per day:

   • Base 2: $\frac{1000 \times 1024}{86400} \div 8 \approx 1.48 \ \text{Bytes per second}$
   • Base 10: $\frac{1000 \times 1000}{86400} \div 8 \approx 1.45 \ \text{Bytes per second}$

4. 1 Megibit per day (1024 Kibibits):

   • Base 2: $\frac{1024 \times 1024}{86400} \div 8 \approx 1.56 \ \text{Bytes per second}$
   • Base 10: $\frac{1000 \times 1000}{86400} \div 8 \approx 1.45 \ \text{Bytes per second}$

These conversions show that the difference between Base 2 and Base 10 is very slight but noticeable depending on the precision required for specific applications.