Gibibits per minute to Terabytes per second conversion

How to convert gibibits per minute to terabytes per second?

Sure, let's walk through the conversion process from Gibibits per minute (Gib/min) to Terabytes per second (TB/s) for both base 10 (decimal) and base 2 (binary) measurements.

Base 2 (Binary) Conversion

1 Gibibit = $2^{30}$ bits = 1,073,741,824 bits (because "Gibi" indicates a binary prefix).

Step-by-step conversion:

1. Convert Gibibits to bits per minute: $1 \text{ Gib/min} = 1 \times 1,073,741,824 \text{ bits/min}$

2. Convert bits per minute to bits per second: $1,073,741,824 \text{ bits/min} \div 60 \text{ (seconds/minute)} = 17,895,697.06667 \text{ bits/sec}$

3. Convert bits per second to Terabytes per second: 1 Terabyte (base 2) = $2^{40}$ bytes = 1,099,511,627,776 bytes

   1 byte = 8 bits

   Thus, 1 Terabyte (base 2) = $1,099,511,627,776 \times 8 = 8,796,093,022,208$ bits

   Therefore: $\left( 17,895,697.06667 \text{ bits/sec} \right) \div 8,796,093,022,208 = 2.035 \times 10^{-6} \text{ or } 2.035 \mu\text{TB/sec}$

Base 10 (Decimal) Conversion

1 Gibibit (base 2) = 1,073,741,824 bits

Step-by-step conversion:

1. Convert Gibibits to bits per minute: $1 \text{ Gib/min} = 1 \times 1,073,741,824 \text{ bits/min}$

2. Convert bits per minute to bits per second: $1,073,741,824 \text{ bits/min} \div 60 \text{ (seconds/minute)} = 17,895,697.06667 \text{ bits/sec}$

3. Convert bits per second to Terabytes per second: 1 Terabyte (base 10) = $10^{12}$ bytes = 1,000,000,000,000 bytes

   1 byte = 8 bits

   Thus, 1 Terabyte (base 10) = $1,000,000,000,000 \times 8 = 8,000,000,000,000$ bits

   Therefore: $\left( 17,895,697.06667 \text{ bits/sec} \right) \div 8,000,000,000,000 = 2.23696 \times 10^{-6} \text{ or } 2.23696 \mu\text{TB/sec}$

Real World Examples

• 100 Gib/min:

  • Base 2: $\text{100 Gib/min} = 203.5 \mu\text{TB/s (binary)}$
  • Base 10: $\text{100 Gib/min} = 223.696 \mu\text{TB/s (decimal)}$

• 512 Gib/min:

  • Base 2: $\text{512 Gib/min} = 1.042 Gbit/min = 1.042 \text{ Gbit/s}$
  • Base 10: $\text{512 Gib/min} = 1.146 \mu\text{TB/s (decimal)}$

• 4 Gib/min (approximately speed of some low-level Ethernet connections):

  • Base 2: $\text{4 Gib/min} = 8.27 \mu\text{TB/s (binary)}$
  • Base 10: $\text{4 Gib/min} = 8.946 \mu\text{TB/s (decimal)}$

This gives a detailed pathway for converting Gibibits per minute to Terabytes per second, accounting for both the base 2 and base 10 systems.