Gibibits per minute to Gigabytes per second conversion

How to convert gibibits per minute to gigabytes per second?

Sure, let's break down the conversion process from Gibibits per minute (Gib/min) to Gigabytes per second (GB/s).

Understanding the Units

1. Gibibits (Gib):

   • 1 Gibibit = $2^{30}$ bits.

2. Gigabytes (GB):

   • In base 2 (binary), 1 Gigabyte (GiB) = $2^{30}$ bytes.
   • In base 10 (decimal), 1 Gigabyte (GB) = $10^9$ bytes.

Conversion Steps

Step 1: Convert Gibibits to Bits

1 Gibibit = $2^{30}$ bits.

Step 2: Convert Bits to Bytes

1 byte = 8 bits.

Step 3: Convert Bytes to Gigabytes

• In base 2: 1 GiB = $2^{30}$ bytes.
• In base 10: 1 GB = $10^9$ bytes.

Step 4: Convert Minutes to Seconds

1 minute = 60 seconds.

Converting 1 Gibibit per Minute to Gigabytes per Second

Base 2 (Binary)

1. Convert Gibibits to bits: $1 \text{ Gib} = 2^{30} \text{ bits}$
2. Convert bits to bytes: $2^{30} \text{ bits} / 8 = 2^{27} \text{ bytes}$
3. Convert bytes to Gigabytes: $2^{27} \text{ bytes} / 2^{30} \text{ (bytes/GiB)} = 1/2^3 \text{ GiB} = 1/8 \text{ GiB}$
4. Convert minutes to seconds: $\frac{1/8 \text{ GiB}}{60 \text{ seconds}} = \frac{1}{480} \text{ GiB/s} \approx 0.00208 \text{ GiB/s}$

Base 10 (Decimal)

1. Convert Gibibits to bits: $1 \text{ Gib} = 2^{30} \text{ bits}$
2. Convert bits to bytes: $2^{30} \text{ bits} / 8 = 2^{27} \text{ bytes}$
3. Convert bytes to Gigabytes: $2^{27} \text{ bytes} / 10^9 \text{ (bytes/GB)} \approx 0.128 \text{ GB}$
4. Convert minutes to seconds: $\frac{0.128 \text{ GB}}{60 \text{ seconds}} = 0.00213 \text{ GB/s}$

Real-World Examples for Other Quantities of Gibibits per Minute

1. 10 Gibibit/Minute:

   • Base 2: $\frac{10 \times 2^{30}}{8 \times 2^{30} \times 60} = \frac{10}{480} = \approx 0.0208 \text{ GiB/s}$
   • Base 10: $10 \times 0.128 \text{ GB/minute} = 1.28 \text{ GB/minute} \implies \approx 0.0213 \text{ GB/s}$

2. 50 Gibibit/Minute:

   • Base 2: $\frac{50 \times 2^{30}}{8 \times 2^{30} \times 60} = \frac{50}{480} \approx 0.1042 \text{ GiB/s}$
   • Base 10: $50 \times 0.128 \text{ GB/minute} = 6.4 \text{ GB/minute} \implies \approx 0.1067 \text{ GB/s}$

3. 100 Gibibit/Minute:

   • Base 2: $\frac{100 \times 2^{30}}{8 \times 2^{30} \times 60} = \frac{100}{480} \approx 0.2083 \text{ GiB/s}$
   • Base 10: $100 \times 0.128 \text{ GB/minute} = 12.8 \text{ GB/minute} \implies \approx 0.2133 \text{ GB/s}$

Summary

• Base 2 Conversion (Gib to GiB/s): $\frac{1 \text{ Gib}}{60 \text{ sec}} \approx 0.00208 \text{ GiB/s}$
• Base 10 Conversion (Gib to GB/s): $\frac{1 \text{ Gib}}{60 \text{ sec}} \approx 0.00213 \text{ GB/s}$