Gigabytes per second to Tebibits per second conversion

How to convert gigabytes per second to tebibits per second?

To convert 1 Gigabyte per second (GB/s) to Tebibits per second (Tibit/s), it's important to understand the difference between base 10 (decimal) and base 2 (binary) systems. Let's break down both conversions:

Conversion in Base 10 (Decimal)

1 GB (Gigabyte) in Bits:

• 1 GB = 1,000,000,000 bytes (in decimal)
• 1 byte = 8 bits
• Therefore, 1 GB = 1,000,000,000 bytes × 8 bits per byte = 8,000,000,000 bits

1 GB/s to Tibit/s in Base 10:

• 1 Tebibit (Tibit) = 10^12 bits = 1,000,000,000,000 bits (in decimal)
• 1 GB/s = 8,000,000,000 bits per second
• To convert to Tebibits: $\text{Tibit/s} = \frac{8,000,000,000 \text{ bits/s}}{1,000,000,000,000 \text{ bits/Tibit}} = 0.008 \text{ Tibit/s (decimal)}$

Conversion in Base 2 (Binary)

1 GB (Gigabyte) in Bits:

• 1 GB = 2^30 bytes (in binary)
• 1 byte = 8 bits
• Therefore, 1 GB = 2^30 bytes × 8 bits per byte = 2^33 bits = 8,589,934,592 bits

1 GB/s to Tibit/s in Base 2:

• 1 Tebibit (Tibit) = 2^40 bits (in binary)
• 1 GB/s = 2^33 bits per second = 8,589,934,592 bits per second
• To convert to Tebibits: $\text{Tibit/s} = \frac{8,589,934,592 \text{ bits/s}}{2^{40} \text{ bits/Tibit}} = \frac{8,589,934,592}{1,099,511,627,776} \approx 0.0078125 \text{ Tibit/s (binary)}$

Summary

• Base 10 (Decimal): 1 GB/s ≈ 0.008 Tebibits per second
• Base 2 (Binary): 1 GB/s ≈ 0.0078125 Tebibits per second

Real-World Examples of Data Transfer Rates (GB/s)

1. Consumer SSD Performance:

   • Modern consumer-grade SSDs (Solid State Drives) can achieve data transfer rates of around 0.5 GB/s to 5 GB/s. For example, a high-end NVMe SSD might transfer data at around 3.5 GB/s.

2. Network Speeds:

   • 10 Gigabit Ethernet (10 GbE) has a theoretical maximum speed of 1.25 GB/s (10 Gbps ÷ 8).

3. Data Center Interconnects:

   • High-speed data center interconnects, such as InfiniBand, can achieve throughput of 25 GB/s or higher, allowing quick data transfer between servers and storage systems.

4. GPU Memory Bandwidth:

   • Modern GPUs (Graphics Processing Units) have memory bandwidths exceeding 700 GB/s. For example, the NVIDIA A100 GPU has a memory bandwidth of approximately 1,555 GB/s.

Understanding these conversions is essential for professionals working in fields like data storage, networking, and computing, where accurate data transfer rate measurements are crucial.