Bytes per second to Gibibits per minute conversion

How to convert bytes per second to gibibits per minute?

Sure, let's break down how to perform the conversion of 1 byte per second to gibibits per minute. We'll consider both base 10 (decimal) and base 2 (binary) systems.

Base 2 (Binary)

In the base 2 system: 1 gibibit (Gib) = 2^30 bits = 1,073,741,824 bits

Let's convert 1 byte per second to bits per second: 1 byte = 8 bits So, 1 byte per second = 8 bits per second (bps)

Next, we need to find out how many bits this equates to over 1 minute: 1 minute = 60 seconds 8 bits per second * 60 seconds = 480 bits per minute

Now convert bits per minute to gibibits per minute: 480 bits per minute / 1,073,741,824 bits per gibibit = 4.47207 x 10^-7 gibibits per minute

Base 10 (Decimal)

In the base 10 system: 1 gigabit (Gb) = 10^9 bits = 1,000,000,000 bits

Let's use the same steps as we did for the base 2 system: 1 byte = 8 bits 1 byte per second = 8 bits per second (bps)

Next, we need to find out how many bits this equates to over 1 minute: 8 bits per second * 60 seconds = 480 bits per minute

Now convert bits per minute to gigabits per minute: 480 bits per minute / 1,000,000,000 bits per gigabit = 4.8 x 10^-7 gigabits per minute

Real-World Examples

• 10 bytes per second:

  • Base 2: $10 \times 8 \times 60 \div 1,073,741,824 = 4.47207 \times 10^{-6}$ gibibits per minute
  • Base 10: $10 \times 8 \times 60 \div 1,000,000,000 = 4.8 \times 10^{-6}$ gigabits per minute

• 1 MB (megabyte) per second:

  • 1 MB = 1,000,000 bytes (base 10), so 1 MB/sec = 8,000,000 bits/sec
  • Base 2: $8,000,000 \times 60 \div 1,073,741,824 = 0.4472$ Gibibits per minute
  • Base 10: $8,000,000 \times 60 \div 1,000,000,000 = 0.48$ Gigabits per minute

• 1 MB (mebibyte) per second:

  • 1 Mebibyte = 2^20 bytes = 1,048,576 bytes (base 2), so 1 Mib/sec = 8,388,608 bits/sec
  • Base 2: $8,388,608 \times 60 \div 1,073,741,824 = 0.4688$ Gibibits per minute
  • Base 10: $8,388,608 \times 60 \div 1,000,000,000 = 0.5033$ Gigabits per minute

I hope this helps you understand the conversions and gives you some useful real-world examples!