Gigabytes per second to Kibibytes per minute conversion

How to convert gigabytes per second to kibibytes per minute?

To convert 1 Gigabyte per second to Kibibytes per minute, you need to understand the difference between units in base 10 (decimal) and base 2 (binary). Let's go through the calculations for both.

Base 10 (Decimal) Calculation

1 Gigabyte (GB) = 1,000,000,000 bytes 1 Kibibyte (KiB) = 1,024 bytes (base 2) 1 minute = 60 seconds

Step-by-Step Calculation:

1. Convert Gigabytes to bytes per second: $1 \text{ GB/s} = 1,000,000,000 \text{ B/s}$

2. Convert bytes per second to bytes per minute: $1,000,000,000 \text{ B/s} \times 60 \text{ seconds} = 60,000,000,000 \text{ B/min}$

3. Convert bytes per minute to Kibibytes per minute: $60,000,000,000 \text{ B/min} \div 1,024 \text{ B/KiB} = 58,593,750 \text{ KiB/min}$

Base 2 (Binary) Calculation

1 gibibyte (GiB) = 1,073,741,824 bytes (base 2) 1 Kibibyte (KiB) = 1,024 bytes (base 2)

Step-by-Step Calculation:

1. Convert Gibibytes to bytes per second (assuming 1 GiB): $1 \text{ GiB/s} = 1,073,741,824 \text{ B/s}$

2. Convert bytes per second to bytes per minute: $1,073,741,824 \text{ B/s} \times 60 \text{ seconds} = 64,424,509,440 \text{ B/min}$

3. Convert bytes per minute to Kibibytes per minute: $64,424,509,440 \text{ B/min} \div 1,024 \text{ B/KiB} = 62,914,560 \text{ KiB/min}$

Summary

• Base 10 (Decimal): 1 Gigabyte per second = 58,593,750 Kibibytes per minute
• Base 2 (Binary): 1 Gibibyte per second = 62,914,560 Kibibytes per minute

Real World Examples

1. Internet Speed:

   • 10 Gigabits per second (Gbps) internet speed translates to approximately 1.25 Gigabytes per second (GB/s) in data transfer rate. If this is given in base 10, it would be around 73,242,187.5 Kibibytes per minute (10 Gbps ÷ 8 to get GB/s).

2. Data Centers:

   • 5 Petabytes per hour in a data center might need break down:
     • 5 Petabytes = 5,000 Terabytes = 5,000,000 Gigabytes.
     • Per hour: 5,000,000/3600 seconds = approximately 1,388.89 Gigabytes per second.
     • In base 10, that would be approximately 81,466,666,670 Kibibytes per minute.

3. High-Performance Computing:

   • 25 Gigabytes per second data read speed from a supercomputer:
     • In base 10, this equals 1,464,843,750 Kibibytes per minute.