Mebibits per second to Gigabytes per hour conversion

How to convert mebibits per second to gigabytes per hour?

To convert 1 Mebibit per second (Mib/s) into Gigabytes per hour (GB/h), we need to understand both the units involved and the basis of measurement. Mebibits and Gigabytes can be measured in base-2 (binary) or base-10 (decimal). Here, we will cover both bases.

Base-2 (Binary)

1 Mebibit (Mib) = 2^20 bits = 1,048,576 bits 1 Gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes 1 Gibibyte = 2^30 * 8 bits = 8,589,934,592 bits

Now, let’s do the conversion:

1. Calculate how many bits are transferred in one hour: 1 Mib/s * 1,048,576 bits/Mib * 3600 seconds/hour = 3,775,897,600 bits/hour

2. Convert bits into Gibibytes: $3,775,897,600 \text{ bits/hour} \div 8,589,934,592 \text{ bits/GiB} \approx 0.439 GiB$

Since 1 GiB is typically approximated in documentation to 1 GB (which can cause some imprecision), we can either leave it as Gibibytes or convert further.

Base-10 (Decimal)

1 Mebibit = 1,000,000 bits 1 Gigabyte = 1,000,000,000 bytes 1 Gigabyte = 1,000,000,000 * 8 bits = 8,000,000,000 bits

Now, let’s do the conversion:

1. Calculate how many bits are transferred in one hour: 1 Mib/s * 1,000,000 bits/Mib * 3600 seconds/hour = 3,600,000,000 bits/hour

2. Convert bits into Gigabytes: $3,600,000,000 \text{ bits/hour} \div 8,000,000,000 \text{ bits/GB} = 0.45 GB$

Real-World Examples for Other Quantities:

1. 10 Mib/s (Base-2):

   • Data transferred per hour in bits: 10 * 1,048,576 * 3600 = 37,758,976,000 bits/hour
   • In Gibibytes: $37,758,976,000 \div 8,589,934,592 \approx 4.4 \, \text{GiB/hour}$

2. 50 Mib/s (Base-10):

   • Data transferred per hour in bits: 50 * 1,000,000 * 3600 = 180,000,000,000 bits/hour
   • In Gigabytes: $180,000,000,000 \div 8,000,000,000 = 22.5 \, \text{GB/hour}$

3. 1 Gbit/s (Base-2):

   • Data transferred per hour in bits: 1,000,000,000 * 3600 = 3,600,000,000,000 bits/hour
   • In Gibibytes: $3,600,000,000,000 \div 8,589,934,592 \approx 419 \, \text{GiB/hour}$

4. 100 Mib/s (Base-10):

   • Data transferred per hour in bits: 100 * 1,000,000 * 3600 = 360,000,000,000 bits/hour
   • In Gigabytes: $360,000,000,000 \div 8,000,000,000 = 45 \, \text{GB/hour}$

Summary

• 1 Mebibit per second (Mib/s) ≈ 0.439 GiB per hour (base-2)
• 1 Mebibit per second (Mib/s) ≈ 0.45 GB per hour (base-10)

Understanding these conversions is crucial in hardware and network configurations, as well as for calculating storage requirements in different formats.