Kibibits per minute to Gigabits per second conversion

How to convert kibibits per minute to gigabits per second?

To convert Kibibits per minute (Kib/min) to Gigabits per second (Gbps), you would follow these steps:

1. Convert Kibibits to Bits: 1 Kibibit (Kib) is equal to 1024 bits because it's based on the binary system (base 2).

2. Convert Minutes to Seconds: There are 60 seconds in a minute.

3. Combine the conversions: To convert Kibibits per minute to bits per second, multiply by 1024 (to convert Kib to bits) and then divide by 60 (to convert minutes to seconds).

After doing the bit conversion, you need to convert bits per second (bps) to Gigabits per second (Gbps).

1. Convert Bits to Gigabits: 1 Gigabit (Gb) is equal to $10^9$ bits (base 10 system). Alternatively, 1 Gigabit is equal to $2^{30}$ bits (base 2 system).

Let's go through the conversion step-by-step:

Base 2 (Binary)

1 Kibibit (Kib) = 1024 bits 1 minute = 60 seconds

Converting 1 Kibibit per minute to Bits per second:

$1 \text{ Kib/min} = \frac{1024 \text{ bits}}{60 \text{ seconds}}$

$= \frac{1024}{60} \text{ bits/second}$

$= 17.0667\overline{33} \text{ bits/second}$

Converting Bits per second to Gigabits per second:

$1 \text{ Gbps (base 2)} = 2^{30} \text{ bits} = 1,073,741,824 \text{ bits}$

$\frac{17.0667\overline{33} \text{ bits/second}}{1,073,741,824 \text{ bits}} \approx 1.59 \times 10^{-8} \text{ Gbps (base 2)}$

Base 10 (Decimal)

1 Kibibit (Kib) = 1024 bits 1 minute = 60 seconds

Converting 1 Kibibit per minute to Bits per second:

$1 \text{ Kib/min} = \frac{1024 \text{ bits}}{60 \text{ seconds}}$

$= \frac{1024}{60} \text{ bits/second}$

$= 17.0667\overline{33} \text{ bits/second}$

Converting Bits per second to Gigabits per second:

$1 \text{ Gbps (base 10)} = 10^9 \text{ bits} = 1,000,000,000 \text{ bits}$

$\frac{17.0667\overline{33} \text{ bits/second}}{1,000,000,000 \text{ bits}} = 1.70667\overline{33} \times 10^{-8} \text{ Gbps (base 10)}$

Summary

• Base 2: $\approx 1.59 \times 10^{-8} \text{ Gbps (base 2)}$
• Base 10: $\approx 1.70667\overline{33} \times 10^{-8} \text{ Gbps (base 10)}$

Real-World Examples

Let's see other quantities of Kibbits per minute and their conversions:

1000 Kibibits per minute

Base 2:

• 1000 Kib/min = $1000 \times 17.0667\overline{33} \text{ bps}$
• = $17066.7\overline{33} \text{ bps} \approx \frac{17066.7\overline{33}}{1,073,741,824} \text{ Gbps (base 2)}$
• $\approx 1.589 \times 10^{-5} \text{ Gbps (base 2)}$

Base 10:

• 1000 Kib/min = $1000 \times 17.0667\overline{33} \text{ bps}$
• = $17066.7\overline{33} \text{ bps} \approx \frac{17066.7\overline{33}}{1,000,000,000} \text{ Gbps (base 10)}$
• $\approx 1.70667\overline{33} \times 10^{-5} \text{ Gbps (base 10)}$

100,000 Kibibits per minute

Base 2:

• 100,000 Kib/min = $100,000 \times 17.0667\overline{33} \text{ bps}$
• = $1706670 \text{ bps} \approx \frac{1706670}{1,073,741,824} \text{ Gbps (base 2)}$
• $\approx 1.589 \times 10^{-3} \text{ Gbps (base 2)}$

Base 10:

• 100,000 Kib/min = $100,000 \times 17.0667\overline{33} \text{ bps}$
• = $1706670 \text{ bps} \approx \frac{1706670}{1,000,000,000} \text{ Gbps (base 10)}$
• $\approx 1.70667\overline{33} \times 10^{-3} \text{ Gbps (base 10)}$

These examples show how varying quantities of Kibibits per minute convert to Gbps in both base 2 and base 10 systems.