Mebibits per second to Tebibytes per second conversion

How to convert mebibits per second to tebibytes per second?

To convert 1 Mebibit per second (Mibps) to Tebibytes per second (TiBps), you need to understand the relationship between these units in both base 2 and base 10.

Base 2 Conversion

1 Mebibit (Mib) = 2^20 bits 1 Tebibyte (TiB) = 2^40 bytes 1 byte = 8 bits

First, convert 1 Mebibit per second to bits per second:

$1 \text{ Mibps} = 1 \times 2^{20} \text{ bits per second} = 1,048,576 \text{ bits per second}$

Now, convert bits per second to bytes per second:

$1,048,576 \text{ bits per second} \div 8 = 131,072 \text{ bytes per second}$

Next, convert bytes per second to Tebibytes per second:

$131,072 \text{ bytes per second} \div 2^{40} \text{ bytes per Tebibyte}$

Since $2^{40} = 1,099,511,627,776$:

$131,072 \div 1,099,511,627,776 \approx 1.1920928955 \times 10^{-7} \text{ TiBps}$

Base 10 Conversion

1 Megabit (Mb) = 10^6 bits 1 Terabyte (TB) = 10^12 bytes 1 byte = 8 bits

Convert 1 Megabit per second to bits per second:

$1 \text{ Mbps} = 1 \times 10^6 \text{ bits per second} = 1,000,000 \text{ bits per second}$

Convert bits per second to bytes per second:

$1,000,000 \text{ bits per second} \div 8 = 125,000 \text{ bytes per second}$

Next, convert bytes per second to Terabytes per second:

$125,000 \text{ bytes per second} \div 10^{12} \text{ bytes per Terabyte} = 1.25 \times 10^{-7} \text{ TBps}$

Summary

• Base 2 (Binary) Conversion: 1 Mibps ≈ 1.1920928955 × 10^-7 TiBps
• Base 10 (Decimal) Conversion: 1 Mbps = 1.25 × 10^-7 TBps

Real-world Examples for Different Quantities of Mebibits per Second

1. Streaming Services: Netflix recommends a minimum of 5 Megabits per second (Mbps) for HD quality streaming. In base 10, this is 5 Mbps = 5 × 10^6 bits per second, approximately 6.25 × 10^-7 TBps.

2. Online Gaming: Many online games require a minimum of 3 Mbps for a smooth experience. In base 10, this is 3 Mbps = 3 × 10^6 bits per second, approximately 3.75 × 10^-7 TBps.

3. File Downloads: A typical broadband connection might offer speeds of 100 Mbps. In base 10, this is 100 Mbps = 100 × 10^6 bits per second, approximately 1.25 × 10^-5 TBps.

4. Corporate Networks: High-speed corporate networks may offer speeds up to 1 Gbps (Gigabit per second), which is 1,000 Mbps. In base 10, this is 1,000 Mbps = 1 × 10^9 bits per second, approximately 1.25 × 10^-4 TBps.

These examples can help you understand the performance and requirements of different internet services in terms of data transfer rates.