Gigabytes per minute to bits per second conversion

How to convert gigabytes per minute to bits per second?

Sure, let’s go through the conversion process for 1 Gigabyte per minute to bits per second for both base 10 and base 2 systems.

Base 10 (Decimal System)

In the decimal system:

• 1 Gigabyte (GB) = 1,000,000,000 bytes
• 1 byte = 8 bits

Steps to convert 1 GB per minute to bits per second:

1. Convert Gigabytes to bytes: $1 \text{ GB} = 1,000,000,000 \text{ bytes}$
2. Convert bytes to bits: $1,000,000,000 \text{ bytes} \times 8 \text{ bits/byte} = 8,000,000,000 \text{ bits}$
3. Convert minutes to seconds: $1 \text{ minute} = 60 \text{ seconds}$
4. Finally, convert bits per minute to bits per second: $\frac{8,000,000,000 \text{ bits}}{60 \text{ seconds}} \approx 133,333,333.33 \text{ bits/second}$

Base 2 (Binary System)

In the binary system:

• 1 Gigabyte (GiB) = 1,073,741,824 bytes (since 1 GiB = $2^{30}$ bytes)
• 1 byte = 8 bits

Steps to convert 1 GiB per minute to bits per second:

1. Convert Gigabytes to bytes: $1 \text{ GiB} = 1,073,741,824 \text{ bytes}$
2. Convert bytes to bits: $1,073,741,824 \text{ bytes} \times 8 \text{ bits/byte} = 8,589,934,592 \text{ bits}$
3. Convert minutes to seconds: $1 \text{ minute} = 60 \text{ seconds}$
4. Finally, convert bits per minute to bits per second: $\frac{8,589,934,592 \text{ bits}}{60 \text{ seconds}} \approx 143,165,576.53 \text{ bits/second}$

So, the conversion results are:

• Decimal (Base 10): 1 GB/min ≈ 133,333,333.33 bits/second
• Binary (Base 2): 1 GiB/min ≈ 143,165,576.53 bits/second

Real-World Examples

Here are some real-world examples for other quantities:

Example 1: 10 Gigabytes per minute (Decimal)

1. Convert to bits per second: $10 \text{ GB/min} \times 133,333,333.33 \text{ bits/second per GB/min} = 1,333,333,333.3 \text{ bits/second}$

Example 2: 0.5 GiB per minute (Binary)

1. Convert to bits per second: $0.5 \text{ GiB/min} \times 143,165,576.53 \text{ bits/second per GiB/min} = 71,582,788.27 \text{ bits/second}$

Example 3: 2 GB per minute (Decimal)

1. Convert to bits per second: $2 \text{ GB/min} \times 133,333,333.33 \text{ bits/second per GB/min} = 266,666,666.66 \text{ bits/second}$

This demonstrates the process to convert data rates from GB/min or GiB/min to bits/second, and shows how the base 10 and base 2 systems differ in context.