Gigabits per minute to Terabits per minute conversion

How to convert gigabits per minute to terabits per minute?

To convert 1 Gigabit per minute to Terabits per minute, you need to understand the relationship between gigabits and terabits. Let's break it down:

Base 10 (Decimal)

In the decimal system, the prefixes are based on powers of 10:

• 1 Gigabit (Gb) = $10^9$ bits (1,000,000,000 bits)
• 1 Terabit (Tb) = $10^{12}$ bits (1,000,000,000,000 bits)

So, to convert from Gigabits to Terabits: $1 \text{ Gigabit (Decimal)} = 1 \times 10^{-3} \text{ Terabits}$

Therefore: $1 \text{ Gigabit per minute (Decimal)} = 0.001 \text{ Terabits per minute (Decimal)}$

Base 2 (Binary)

In the binary system, the prefixes are based on powers of 2:

• 1 Gibibit (Gib) = $2^{30}$ bits (1,073,741,824 bits)
• 1 Tebibit (Tib) = $2^{40}$ bits (1,099,511,627,776 bits)

To convert from Gibibits to Tebibits: $1 \text{ Gibibit (Binary)} = \frac{2^{30}}{2^{40}} \text{ Tebibits} = 2^{-10} \text{ Tebibits}$ $2^{-10} \text{ Tebibits} = \frac{1}{1024} \text{ Tebibits}$

Therefore: $1 \text{ Gibibit per minute (Binary)} = \frac{1}{1024} \text{ Tebibits per minute (Binary)} \approx 0.0009765625 \text{ Tebibits per minute (Binary)}$

Real World Examples

Now, let's look at some real-world quantities in Gigabits per minute:

1. 10 Gigabits per minute (Decimal):

   • Decimal: $10 \text{ Gb/min} = 10 \times 10^{-3} \text{ Tb/min} = 0.01 \text{ Tb/min}$
   • Binary: $10 \text{ Gib/min} = 10 \times \frac{1}{1024} \text{ Tib/min} \approx 0.009765625 \text{ Tib/min}$

2. 100 Gigabits per minute (Decimal):

   • Decimal: $100 \text{ Gb/min} = 100 \times 10^{-3} \text{ Tb/min} = 0.1 \text{ Tb/min}$
   • Binary: $100 \text{ Gib/min} = 100 \times \frac{1}{1024} \text{ Tib/min} \approx 0.09765625 \text{ Tib/min}$

3. 1000 Gigabits per minute (Decimal):

   • Decimal: $1000 \text{ Gb/min} = 1000 \times 10^{-3} \text{ Tb/min} = 1 \text{ Tb/min}$
   • Binary: $1000 \text{ Gib/min} = 1000 \times \frac{1}{1024} \text{ Tib/min} \approx 0.9765625 \text{ Tib/min}$

Summary

• 1 Gigabit per minute (Decimal) = 0.001 Terabits per minute (Decimal)
• 1 Gibibit per minute (Binary) = 0.0009765625 Tebibits per minute (Binary)

These differences are due to the distinct ways the decimal and binary systems scale units of data.