Mebibits per second to Terabytes per day conversion

How to convert mebibits per second to terabytes per day?

To convert 1 Mebibit per second (Mibit/s) to Terabytes per day (TB/day), we need to follow a few steps, involving multiple conversions. Note that "Mebibit" uses base-2, while "Terabyte" can be considered in both base-10 and base-2, leading to two different answers.

Base-2 Conversion

Step-by-Step Conversion:

1. Convert Mebibits to Bits: $1 \text{ Mibit} = 2^{20} \text{ bits} = 1,048,576 \text{ bits}$

2. Convert Bits per Second to Bits per Day: $1,048,576 \text{ bits/second} \times 60 \times 60 \times 24 = 90,949,188,480 \text{ bits/day}$

3. Convert Bits to Terabytes (base-2) per Day: $1 \text{ TB (base-2)} = 2^{40} \text{ bits} = 1,099,511,627,776 \text{ bits}$ $\frac{90,949,188,480 \text{ bits/day}}{1,099,511,627,776 \text{ bits/TB}} \approx 0.08267 \text{ TB (base-2) per day}$

Base-10 Conversion

Step-by-Step Conversion:

1. Convert Mebibits to Bits: $1 \text{ Mibit} = 2^{20} \text{ bits} = 1,048,576 \text{ bits}$

2. Convert Bits per Second to Bits per Day: $1,048,576 \text{ bits/second} \times 60 \times 60 \times 24 = 90,949,188,480 \text{ bits/day}$

3. Convert Bits to Terabytes (base-10) per Day: $1 \text{ TB (base-10)} = 10^{12} \text{ bits} = 1,000,000,000,000 \text{ bits}$ $\frac{90,949,188,480 \text{ bits/day}}{1,000,000,000,000 \text{ bits/TB}} = 0.09095 \text{ TB (base-10) per day}$

Summary of Conversion:

• Base-2: 1 Mib/s ≈ 0.08267 TB (base-2) per day.
• Base-10: 1 Mib/s ≈ 0.09095 TB (base-10) per day.

Real World Examples:

1. 2 Mib/s:

   • Base-2: $2 \times 0.08267$ TB/day ≈ 0.16534 TB/day
   • Base-10: $2 \times 0.09095$ TB/day ≈ 0.1819 TB/day

2. 10 Mib/s:

   • Base-2: $10 \times 0.08267$ TB/day ≈ 0.8267 TB/day
   • Base-10: $10 \times 0.09095$ TB/day ≈ 0.9095 TB/day

3. 50 Mib/s:

   • Base-2: $50 \times 0.08267$ TB/day ≈ 4.1335 TB/day
   • Base-10: $50 \times 0.09095$ TB/day ≈ 4.5475 TB/day

These calculations allow for better understanding and accurate conversion between different units and bases, ensuring precise data management in various contexts.