Gibibits per hour to Megabytes per minute conversion

How to convert gibibits per hour to megabytes per minute?

Certainly! Converting 1 Gibibit per hour to Megabytes per minute requires understanding the different definitions in base 10 (decimal) and base 2 (binary).

Conversion using Base 2 (Binary)

1 Gibibit (Gib) = 2^30 bits (1,073,741,824 bits) 1 byte = 8 bits 1 GiB (Gibibyte) = 2^30 bytes = 1,073,741,824 bytes 1 MiB (Mebibyte) = 2^20 bytes = 1,048,576 bytes

Steps:

1. Convert 1 Gibibit to bits. $1 \text{ Gib} = 1 \times 2^{30} \text{ bits} = 1,073,741,824 \text{ bits}$

2. Convert bits to bytes: $1,073,741,824 \, \text{bits} \div 8 = 134,217,728 \, \text{bytes}$

3. Convert bytes to Mebibytes (MiB): $134,217,728 \, \text{bytes} \div 1,048,576 \, \text{bytes/MiB} = 128 \, \text{MiB}$

4. Convert Gibibits per hour to MiB per minute: Since there are 60 minutes in an hour, $128 \, \text{MiB/hr} \div 60 = 2.1333 \, \text{MiB/min}$

Conversion using Base 10 (Decimal)

1 Gibibit (Gb) = 10^9 bits 1 byte = 8 bits 1 GB (Gigabyte) = 10^9 bytes 1 MB (Megabyte) = 10^6 bytes

Steps:

1. Convert 1 Gibibit to bits: 1 \text{ ) = 10^9 \text{ bits}

2. Convert bits to bytes: $10^9 \, \text{bits} \div 8 = 125,000,000 \, \text{bytes}$

3. Convert bytes to Megabytes (MB): $125,000,000 \, \text{bytes} \div 10^6 \, \text{bytes/MB} = 125 \, \text{MB}$

4. Convert Gibibits per hour to MB per minute: Since there are 60 minutes in an hour, $125 \, \text{MB/hr} \div 60 = 2.0833 \, \text{MB/min}$

Summary

• Base 2: 1 Gibibit per hour ≈ 2.1333 MiB per minute.
• Base 10: 1 Gibibit per hour ≈ 2.0833 MB per minute.

Real-World Examples for Other Quantities of Gibibits per Hour using Base 2 (Binary):

1. 5 Gibibits per hour:

   • $5 \times 2.1333$ MiB per minute ≈ $10.6665$ MiB per minute

2. 10 Gibibits per hour:

   • $10 \times 2.1333$ MiB per minute ≈ $21.333$ MiB per minute

3. 50 Gibibits per hour:

   • $50 \times 2.1333$ MiB per minute ≈ $106.665$ MiB per minute

4. 100 Gibibits per hour:

   • $100 \times 2.1333$ MiB per minute ≈ $213.33$ MiB per minute