Kibibits per second to Gibibytes per day conversion

How to convert kibibits per second to gibibytes per day?

To convert 1 Kibibit per second (Kibit/s) to Gibibytes per day (GiB/day), you need to be aware of the relationship between the different units of measure in both base 2 (binary) and base 10 (decimal) systems.

Base 2 (Binary)

In the binary system (base 2), the relationships between the units are: 1 Kibibit (Kibit) = 2^10 = 1024 bits 1 Mebibit (Mibit) = 2^20 = 1,048,576 bits 1 Gibibit (Gibit) = 2^30 = 1,073,741,824 bits

1 Kibibyte (KiB) = 2^10 = 1024 bytes 1 Mebibyte (MiB) = 2^20 = 1,048,576 bytes 1 Gibibyte (GiB) = 2^30 = 1,073,741,824 bytes

Now we need to convert Kibibits per second to Gibibytes per day: 1 Kibit/s = 1024 bits/second

Number of bits in a day (since there are 86400 seconds in a day): $1 \, \text{Kibit/s} \times 1024 \, \text{bits/Kibit} \times 86400 \, \text{seconds/day}$

Total bits per day: $1 \times 1024 \times 86400 = 88,473,600 \, \text{bits/day}$

Now convert bits to bytes (since there are 8 bits in a byte): $88,473,600 \, \text{bits/day} \div 8 = 11,059,200 \, \text{bytes/day}$

Convert bytes to Gibibytes: $11,059,200 \, \text{bytes/day} \div 1,073,741,824 \, \text{bytes/GiB} \approx 0.0103 \, \text{GiB/day}$

Base 10 (Decimal)

In the decimal system (base 10), the relationships between the units are: 1 Kilobit (kb) = 10^3 = 1000 bits 1 Megabit (Mb) = 10^6 = 1,000,000 bits 1 Gigabit (Gb) = 10^9 = 1,000,000,000 bits

1 Kilobyte (kB) = 10^3 = 1000 bytes 1 Megabyte (MB) = 10^6 = 1,000,000 bytes 1 Gigabyte (GB) = 10^9 = 1,000,000,000 bytes

Now convert Kibibits per second considering the decimal equivalents: 1 Kibit/s (in decimal) is the same as 1 Kilobit/s (approx): $1 \, \text{Kibit/s} = 1000 \, \text{bits/second}$

Number of bits in a day: $1 \, \text{Kibit/s} \times 1000 \, \text{bits/Kilobit} \times 86400 \, \text{seconds/day} = 86,400,000 \, \text{bits/day}$

Convert bits to bytes: $86,400,000 \, \text{bits/day} \div 8 = 10,800,000 \, \text{bytes/day}$

Convert bytes to Gigabytes: $10,800,000 \, \text{bytes/day} \div 1,000,000,000 \, \text{bytes/GB} = 0.0108 \, \text{GB/day}$

Summary

• Binary (Base 2): 1 Kibibit/s ≈ 0.0103 Gibibytes/day
• Decimal (Base 10): 1 Kibibit/s = 0.0108 Gigabytes/day

Real-World Examples for Other Quantities of Kibibits per Second:

• 10 Kibibits per second (10 Kibit/s):

  • Binary: $0.103 \, \text{GiB/day}$
  • Decimal: $0.108 \, \text{GB/day}$

• 100 Kibibits per second (100 Kibit/s):

  • Binary: $1.03 \, \text{GiB/day}$
  • Decimal: $1.08 \, \text{GB/day}$

• 1000 Kibibits per second (1000 Kibit/s) (or 1 Mibit/s):

  • Binary: $10.3 \, \text{GiB/day}$
  • Decimal: $10.8 \, \text{GB/day}$

Understanding these conversions can help in various fields, including networking, data storage, and data transfer planning.