Gigabits per day to Bytes per hour conversion

How to convert gigabits per day to bytes per hour?

Sure, let's go through the conversion process step by step for both base 10 (SI units) and base 2 (binary units).

Base 10 (SI units):

1 Gigabit (Gb) = 1,000,000,000 bits (b)

1 byte (B) = 8 bits (b)

To convert 1 Gigabit per day (1 Gb/day) to bytes per hour (B/h):

1. First convert gigabits to bits: $1 \text{ Gb/day} = 1,000,000,000 \text{ bits/day}$

2. Convert bits to bytes: $1,000,000,000 \text{ bits/day} \div 8 = 125,000,000 \text{ bytes/day}$

3. There are 24 hours in a day: $125,000,000 \text{ bytes/day} \div 24 \text{ hours/day} = 5,208,333.33 \text{ bytes/hour}$

Base 2 (Binary units):

1 Gibibit (Gib) = 2^30 bits (b) = 1,073,741,824 bits (b)

1 byte (B) = 8 bits (b)

To convert 1 Gibibit per day (1 Gib/day) to bytes per hour (B/h):

1. First convert gibibits to bits: $1 \text{ Gib/day} = 1,073,741,824 \text{ bits/day}$

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

3. There are 24 hours in a day: $134,217,728 \text{ bytes/day} \div 24 \text{ hours/day} = 5,592,405.33 \text{ bytes/hour}$

So, for base 10 (SI units), 1 Gb/day converts to approximately 5,208,333.33 bytes/hour, and for base 2 (binary units), 1 Gib/day converts to approximately 5,592,405.33 bytes/hour.

Real-World Examples:

1. 10 Gigabits per day:

   • Base 10 (SI units): $10 \times 5,208,333.33 \text{ bytes/hour} = 52,083,333.30 \text{ bytes/hour}$
   • Base 2 (binary units): $10 \times 5,592,405.33 \text{ bytes/hour} = 55,924,053.30 \text{ bytes/hour}$

2. 100 Gigabits per day:

   • Base 10 (SI units): $100 \times 5,208,333.33 \text{ bytes/hour} = 520,833,333.30 \text{ bytes/hour}$
   • Base 2 (binary units): $100 \times 5,592,405.33 \text{ bytes/hour} = 559,240,533.30 \text{ bytes/hour}$

3. 1 Terabit per day (1,000 Gigabits in SI units and 1,024 Gibibits in binary units):

   • Base 10 (SI units): $1,000 \times 5,208,333.33 \text{ bytes/hour} = 5,208,333,333.30 \text{ bytes/hour}$
   • Base 2 (binary units): $1,024 \times 5,592,405.33 \text{ bytes/hour} = 5,726,856,245.92 \text{ bytes/hour}$

These conversions can help in various scenarios such as network planning, bandwidth allocation, or understanding data transfer limits for specific applications.