Gibibits per second to Bytes per hour conversion

How to convert gibibits per second to bytes per hour?

To convert from Gibibits per second (Gibps) to Bytes per hour, you'll need to go through a series of conversions. A Gibibit (Gib) is based on the binary system (base 2), which is different from the gigabit (Gb) that uses the decimal system (base 10). I'll walk you through both conversions.

Conversion using Base 2 (Binary System)

1 Gibibit (Gib) = $2^{30}$ bits = 1,073,741,824 bits

1 Gibibit per second (Gibps) = 1,073,741,824 bits per second

Steps:

1. Convert bits to Bytes: There are 8 bits in 1 Byte. $\text{Bits per second to Bytes per second} = \frac{1,073,741,824 \text{ bits}}{8} = 134,217,728 \text{ Bytes per second}$

2. Convert seconds to hours: There are 3,600 seconds in 1 hour. $\text{Bytes per hour} = 134,217,728 \text{ Bytes/second} \times 3,600 \text{ seconds/hour} = 483,183,820,800 \text{ Bytes/hour}$

Therefore, 1 Gibibit per second (Gibps) is equivalent to 483,183,820,800 Bytes per hour in the base 2 system.

Conversion using Base 10 (Decimal System)

1 gigabit (Gb) = 10^9 bits = 1,000,000,000 bits

1 gigabit per second (Gbps) = 1,000,000,000 bits per second

Steps:

1. Convert bits to Bytes: There are 8 bits in 1 Byte. $\text{Bits per second to Bytes per second} = \frac{1,000,000,000 \text{ bits}}{8} = 125,000,000 \text{ Bytes per second}$

2. Convert seconds to hours: There are 3,600 seconds in 1 hour. $\text{Bytes per hour} = 125,000,000 \text{ Bytes/second} \times 3,600 \text{ seconds/hour} = 450,000,000,000 \text{ Bytes/hour}$

Therefore, in the base 10 system, 1 gigabit per second (Gbps) is equivalent to 450,000,000,000 Bytes per hour.

Real World Examples:

1. Typical home internet connection: If a home internet connection has a speed of 1 Gibps, this translates, as we saw, to 483,183,820,800 Bytes per hour in the base 2 system. This is equivalent to approximately 450,000,000,000 Bytes per hour if considered in base 10.

2. Data center network speeds: Many data centers may operate with 100 Gigabit Ethernet (100 Gbps) using base 10:

   • $100 \, \text{Gbps} = 100 \times 1,000,000,000 \text{ bits/second} = 12,500,000,000 \text{ Bytes/second}$
   • $\text{Bytes per hour} = 12,500,000,000 \text{ Bytes/second} \times 3,600 \text{ seconds/hour} = 45,000,000,000,000 \text{ Bytes/hour}$.

3. Server Backup: A company might have a server backup process running at 5 Gibps:

   • Using the base 2 system:
     • $\text{5 Gibps} = 5 \times 1,073,741,824 \text{ bits/second} = 5,368,709,120 Bytes/second$
     • $\text{Bytes per hour} = 5,368,709,120 \times 3,600 = 19,327,352,832,000 \text{ Bytes/hour}$.

These conversions illustrate how significant high-speed data transfer rates are in modern networking and data handling scenarios.