Kibibits per second to Gigabits per minute conversion

How to convert kibibits per second to gigabits per minute?

Certainly! Let's start with some definitions:

1 Kibibit (Kib) = 1024 bits

1 Gigabit (Gb) = 10^9 bits (when using the base 10 system) 1 Gigabit (Gib) = 2^30 bits (when using the base 2 system)

Base 2 Calculation:

First, let's convert 1 Kibibit per second to bits per second:

• 1 Kibibit per second (Kibps) = 1024 bits per second (bps)

Next, let's convert bits per second to bits per minute:

• 1024 bits per second * 60 seconds = 61440 bits per minute

Now, let's convert bits per minute to Gibabits per minute:

• Number of bits in one Gibabit = 2^30 bits
• 2^30 bits = 1073741824 bits
• Therefore, 61440 bits per minute = 61440 / 1073741824 = 5.717x10^-5 Gibbibits per minute (rounded to 5 decimal places)

Base 10 Calculation:

First, let's do the same initial conversion:

• 1 Kibibit (Kib) per second = 1024 bits per second (bps)
• 1024 bits per second * 60 seconds = 61440 bits per minute

Now, let's convert bits per minute to Gigabits per minute:

• Number of bits in one Gigabit = 10^9 bits
• 10^9 bits = 1000000000 bits
• Therefore, 61440 bits per minute = 61440 / 1000000000 = 6.144x10^-5 Gigabits per minute (rounded to 5 decimal places)

Real World Examples for Other Quantities:

1. Streaming Video:

   • An HD video stream might require around 5000 Kibibits per second.
   • Converting to Gigabits per minute in base 2: $5000 \times 60 = 300000 \text{ bits/minute}$.
     • $\frac{300000}{1073741824} = 0.000279$ Gibabits per minute.
   • In base 10:
     • $\frac{300000}{1000000000} = 0.0003$ Gigabits per minute.

2. Online Gaming:

   • An online game might use around 100 Kibibits per second.
   • Converting to Gigabits per minute in base 2: $100 \times 60 = 6000 \text{ bits/minute}$.
     • $\frac{6000}{1073741824} = 0.0000055$ Gibabits per minute.
   • In base 10:
     • $\frac{6000}{1000000000} = 0.000006$ Gigabits per minute.

3. File Download:

   • A typical file download might be around 20000 Kibibits per second.
   • Converting to Gigabits per minute in base 2: $20000 \times 60 = 1200000 \text{ bits/minute}$.
     • $\frac{1200000}{1073741824} = 0.0011$ Gibabits per minute.
   • In base 10:
     • $\frac{1200000}{1000000000} = 0.0012$ Gigabits per minute.

These conversions help in understanding the data rates involved in various applications like streaming, gaming, or downloading in terms of both base 2 (binary) and base 10 (decimal) notations.