Gibibytes per second to Kibibits per hour conversion

How to convert gibibytes per second to kibibits per hour?

Gibibytes per second (GiB/s) is a unit often used to measure data transfer rate in the context of computer networks and storage devices. To convert Gibibytes per second to Kibibits per hour, we need to understand the relationships between these units.

1 GiB = $2^{30}$ bytes (base 2) 1 Gibibit (Gib) = $2^{30}$ bits (base 2) 1 Kibibit (Kib) = $2^{10}$ bits (base 2)

Conversion Steps

Step 1: Convert GiB to bits (base 2)

• 1 GiB = $2^{30}$ bytes
• 1 byte = 8 bits So, 1 GiB = $2^{30} \times 8$ bits = $8 \times 2^{30}$ bits

Step 2: Convert bits to Kibibits (base 2)

• 1 Kibibit (Kib) = $2^{10}$ bits So, 1 GiB = $\frac{8 \times 2^{30}}{2^{10}}$ Kib = $8 \times 2^{20}$ Kib = 8,388,608 Kib

Step 3: Convert seconds to hours

• 1 hour = 3600 seconds

Finally, multiply the Kibibits per second by the number of seconds in an hour.

$8,388,608 \text{ Kib/s} \times 3600 \text{ s/hr} = 30,198,988,800 \text{ Kib/hr}$

Thus, 1 GiB/s is equivalent to 30,198,988,800 Kibibits per hour.

Base 10 (Decimal) Conversion

In practice, some systems use base 10 for storage units.

1 GiB = $10^9$ bytes (base 10) 1 byte = 8 bits 1 Kibibit = 1000 bits (base 10)

Step 1: Convert GiB to bits (base 10)

• 1 GiB = $10^9$ bytes
• 1 byte = 8 bits So, 1 GiB = $10^9 \times 8$ bits = $8 \times 10^9$ bits

Step 2: Convert bits to Kibibits (base 10)

• 1 Kibibit = $10^3$ bits So, 1 GiB (base 10) = $\frac{8 \times 10^9}{10^3}$ Kib = $8 \times 10^6$ Kib = 8,000,000 Kib

Step 3: Convert seconds to hours

• 1 hour = 3600 seconds

Finally, multiply the Kibibits per second by the number of seconds in an hour.

$8,000,000 \text{ Kib/s} \times 3600 \text{ s/hr} = 28,800,000,000 \text{ Kib/hr}$

So, using base 10, 1 GiB/s is equivalent to 28,800,000,000 Kibibits per hour.

Real World Examples

1. 3840x2160 4K Video Streaming (Uncompressed):

   • Uncompressed 4K video (60 fps, 12-bit): approximately 3.5 GiB/s.
   • Data transfer rate: 105,696,460,800 Kib/hr (base 2).

2. Enterprise Fiber-Optic Network:

   • 10 Gigabit Ethernet: about 1.16 GiB/s.
   • Data transfer rate: 35,530,826,880 Kib/hr (base 2).

3. High-Speed Storage Arrays or SSD Read/Write:

   • NVMe SSD read speed of 3 GiB/s.
   • Data transfer rate: 90,596,966,400 Kib/hr (base 2).

These examples help illustrate how the data conversion and real-world applications are relevant to varying data transfer rates.