bits per second to Gigabytes per minute conversion

How to convert bits per second to gigabytes per minute?

Sure, let's walk through the process of converting 1 bit per second (bps) to Gigabytes per minute (GB/min).

Base 10 Conversion

In the decimal (base 10) system, the conversions are as follows:

1. There are 60 seconds in one minute.
2. There are 1,000 bits in one kilobit (kbit).
3. There are 1,000 kilobits in one megabit (Mbit).
4. There are 1,000 megabits in one gigabit (Gbit).
5. There are 1,000 megabytes in one gigabyte (GB).
6. There are 8 bits in a byte.

Let's go through the conversion step by step:

Step-by-Step Conversion

1. Convert bits per second to bits per minute: $\text{1 bit/second} \times 60 \text{ seconds/minute} = 60 \text{ bits/minute}$

2. Convert bits to bytes: $60 \text{ bits/minute} \div 8 \text{ bits/byte} = 7.5 \text{ bytes/minute}$

3. Convert bytes to kilobytes (KB): $7.5 \text{ bytes/minute} \div 1,000 = 0.0075 \text{ KB/minute}$

4. Convert kilobytes to megabytes (MB): $0.0075 \text{ KB/minute} \div 1,000 = 0.0000075 \text{ MB/minute}$

5. Convert megabytes to gigabytes (GB): $0.0000075 \text{ MB/minute} \div 1,000 = 0.0000000075 \text{ GB/minute}$

So, in base 10: 1 bit per second is equal to 0.0000000075 Gigabytes per minute.

Base 2 Conversion

In the binary (base 2) system, the conversions are as follows:

1. There are 60 seconds in one minute.
2. There are 1,024 bits in one kibibit (Kibit).
3. There are 1,024 kibibits in one mebibit (Mibit).
4. There are 1,024 mebibits in one gibibit (Gibit).
5. There are 1,024 gibibytes in one gibibyte (GiB).
6. There are 8 bits in a byte.

Let's go through the conversion step by step:

Step-by-Step Conversion

1. Convert bits per second to bits per minute: $\text{1 bit/second} \times 60 \text{ seconds/minute} = 60 \text{ bits/minute}$

2. Convert bits to bytes: $60 \text{ bits/minute} \div 8 \text{ bits/byte} = 7.5 \text{ bytes/minute}$

3. Convert bytes to kibibytes (KiB): $7.5 \text{ bytes/minute} \div 1,024 = 0.00732421875 \text{ KiB/minute}$

4. Convert kibibytes to mebibytes (MiB): $0.00732421875 \text{ KiB/minute} \div 1,024 = 0.00000715255737 \text{ MiB/minute}$

5. Convert mebibytes to gibibytes (GiB): $0.00000715255737 \text{ MiB/minute} \div 1,024 = 0.00000000698491931 \text{ GiB/minute}$

So, in base 2: 1 bit per second is equal to approximately 0.00000000698491931 Gibibytes per minute.

Real-World Examples

Let's consider real-world examples with higher quantities of bits per second:

1. 1 Mbps (1 Megabit per second):

   • Base 10: 1,000,000 bits/second
   • Base 2: 1,048,576 bits/second

   Base 10 Conversion to GB/min: $1,000,000 \, \text{bits/second} \times 60 \, \text{seconds/minute} \div 8 \div 1,000 \div 1,000 \div 1,000 = 0.0075 \, \text{GB/min}$

   Base 2 Conversion to GiB/min: $1,048,576 \, \text{bits/second} \times 60 \, \text{seconds/minute} \div 8 \div 1,024 \div 1,024 \div 1,024 = 0.007004 \, \text{GiB/min}$

2. 100 Mbps (100 Megabits per second):

   • Base 10: 100,000,000 bits/second
   • Base 2: 104,857,600 bits/second

   Base 10 Conversion to GB/min: $100,000,000 \, \text{bits/second} \times 60 \, \text{seconds/minute} \div 8 \div 1,000 \div 1,000 \div 1,000 = 0.75 \, \text{GB/min}$

   Base 2 Conversion to GiB/min: $104,857,600 \, \text{bits/second} \times 60 \, \text{seconds/minute} \div 8 \div 1,024 \div 1,024 \div 1,024 = 0.700 \, \text{GiB/min}$

3. 1 Gbps (1 Gigabit per second):

   • Base 10: 1,000,000,000 bits/second
   • Base 2: 1,073,741,824 bits/second

   Base 10 Conversion to GB/min: $1,000,000,000 \, \text{bits/second} \times 60 \, \text{seconds/minute} \div 8 \div 1,000 \div 1,000 = 7.5 \, \text{GB/min}$

   Base 2 Conversion to GiB/min: $1,073,741,824 \, \text{bits/second} \times 60 \, \text{seconds/minute} \div 8 \div 1,024 \div 1,024 = 7.004 \, \text{GiB/min}$

I hope this explanation helps