Mebibits per second to Tebibits per hour conversion

How to convert mebibits per second to tebibits per hour?

To convert 1 Mebibit per second (Mibps) to Tebibits per hour (Tibps), you need to consider the conversion factors between Mebibits, Tebibits, seconds, and hours.

Base 2 Conversion (Binary System)

1 Mebibit (Mib) = 2^20 bits (since 1 Mebibit is 1,048,576 bits) 1 Tebibit (Tib) = 2^40 bits (since 1 Tebibit is 1,099,511,627,776 bits)

To convert Mibps to Tibps using base 2:

1. Determine the number of bits per second: $1 \text{ Mibps} = 1 \times 2^{20} \text{ bits per second}$ $1 \text{ Mibps} = 1,048,576 \text{ bits per second}$

2. Determine the number of bits per hour: $1,048,576 \text{ bits per second} \times 3600 \text{ seconds per hour} = 3,775,458,560 \text{ bits per hour}$

3. Convert to Tebibits per hour: $3,775,458,560 \text{ bits per hour} \div 2^{40}$ $3,775,458,560 \div 1,099,511,627,776 \approx 0.00344 \text{ Tibps per hour}$

Base 10 Conversion (Decimal System)

1 Mebibit (Mib) = 1,000,000 bits (when approximating with base 10) 1 Tebibit (Tib) = 1,000,000,000,000 bits (when approximating with base 10)

To convert Mibps to Tibps using base 10:

1. Determine the number of bits per second: $1 \text{ Mibps} = 1 \times 1,000,000 \text{ bits per second}$ $1 \text{ Mibps} = 1,000,000 \text{ bits per second}$

2. Determine the number of bits per hour: $1,000,000 \text{ bits per second} \times 3600 \text{ seconds per hour} = 3,600,000,000 \text{ bits per hour}$

3. Convert to Tebibits per hour: $3,600,000,000 \text{ bits per hour} \div 1,000,000,000,000$ $3,600,000,000 \div 1,000,000,000,000 = 0.0036 \text{ Tibps per hour}$

Real World Examples for Different Quantities of Mebibits per Second

1. 5 Mibps (Streaming Video Quality):

   • Base 2 conversion: $5 \text{ Mibps} \times 3600 \text{ seconds per hour} = 18,788,843,200 \text{ bits per hour}$ $18,788,843,200 \div 2^{40} \approx 0.0171 \text{ Tibps per hour}$
   • Base 10 conversion: $5 \text{ Mibps} \times 3600 \text{ seconds per hour} = 18,000,000,000 \text{ bits per hour}$ $18,000,000,000 \div 1,000,000,000,000 = 0.018 \text{ Tibps per hour}$

   Streaming a high-definition video might use about 5 Mibps.

2. 10 Mibps (Higher Quality Streaming or Basic Desktop Upload/Download Speeds):

   • Base 2 conversion: $10 \text{ Mibps} \times 3600 \text{ seconds per hour} = 37,577,686,400 \text{ bits per hour}$ $37,577,686,400 \div 2^{40} \approx 0.0342 \text{ Tibps per hour}$
   • Base 10 conversion: $10 \text{ Mibps} \times 3600 \text{ seconds per hour} = 36,000,000,000 \text{ bits per hour}$ $36,000,000,000 \div 1,000,000,000,000 = 0.036 \text{ Tibps per hour}$

   Common for home internet connections in many places.

3. 100 Mibps (High-Speed Broadband)

   • Base 2 conversion: $100 \text{ Mibps} \times 3600 \text{ seconds per hour} = 375,776,864,000 \text{ bits per hour}$ $375,776,864,000 \div 2^{40} \approx 0.342 \text{ Tibps per hour}$
   • Base 10 conversion: $100 \text{ Mibps} \times 3600 \text{ seconds per hour} = 360,000,000,000 \text{ bits per hour}$ $360,000,000,000 \div 1,000,000,000,000 = 0.36 \text{ Tibps per hour}$

   Suitable for small to medium-sized businesses.

Understanding both base 2 and base 10 conversions is important as different fields and contexts might use either standard.