Gigabits per hour to Terabytes per day conversion

How to convert gigabits per hour to terabytes per day?

To convert data transfer rates from gigabits per hour (Gb/hr) to terabytes per day (TB/day), you need to follow several steps to account for different time units and data size units. Here's a step-by-step guide for converting 1 Gbit/hr:

Base 10 (Decimal) Conversion:

1. Convert Gigabits to Bits: 1 gigabit (Gbit) is $10^9$ bits (1,000,000,000 bits).

2. Convert Bits to Bytes: There are 8 bits in a byte, so $1 \text{ Gbit} = 1,000,000,000 \div 8 = 125,000,000$ bytes.

3. Convert Bytes to Terabytes: In base 10, 1 terabyte (TB) is $10^{12}$ bytes (1,000,000,000,000 bytes). Therefore, $1 \text{ Gbit} = 125,000,000 \div 1,000,000,000,000 = 0.000125$ terabytes.

4. Convert Hours to Days: There are 24 hours in a day. Hence, to convert Gbit/hr to TB/day: $1 \text{ Gbit/hr} = 0.000125 \text{ TB/hr} \times 24 \text{ hr/day} = 0.003 \text{ TB/day}$

Base 2 (Binary) Conversion:

1. Convert Gigabits to Bits: 1 gigabit (Gbit) is $2^{30}$ bits (1,073,741,824 bits).

2. Convert Bits to Bytes: There are 8 bits in a byte, so $1 \text{ Gbit} = 1,073,741,824 \div 8 = 134,217,728$ bytes.

3. Convert Bytes to Terabytes: In base 2, 1 terabyte (TB) is $2^{40}$ bytes (1,099,511,627,776 bytes). Therefore, $1 \text{ Gbit} = 134,217,728 \div 1,099,511,627,776 = 0.0001220703125$ terabytes.

4. Convert Hours to Days: There are 24 hours in a day. Hence, to convert Gbit/hr to TB/day: $1 \text{ Gbit/hr} = 0.0001220703125 \text{ TB/hr} \times 24 \text{ hr/day} \approx 0.0029296875 \text{ TB/day}$

Real-World Examples:

1. 5 Gbit/hr:

   • Base 10: $5 \text{ Gbit/hr} \times 0.003 \text{ TB/day per Gbit/hr} = 0.015 \text{ TB/day}$
   • Base 2: $5 \text{ Gbit/hr} \times 0.0029296875 \text{ TB/day per Gbit/hr} \approx 0.0146484375 \text{ TB/day}$

2. 50 Gbit/hr:

   • Base 10: $50 \text{ Gbit/hr} \times 0.003 \text{ TB/day per Gbit/hr} = 0.15 \text{ TB/day}$
   • Base 2: $50 \text{ Gbit/hr} \times 0.0029296875 \text{ TB/day per Gbit/hr} \approx 0.146484375 \text{ TB/day}$

3. 100 Gbit/hr:

   • Base 10: $100 \text{ Gbit/hr} \times 0.003 \text{ TB/day per Gbit/hr} = 0.3 \text{ TB/day}$
   • Base 2: $100 \text{ Gbit/hr} \times 0.0029296875 \text{ TB/day per Gbit/hr} \approx 0.29296875 \text{ TB/day}$

By knowing how to convert between these units and understanding the difference between base 10 and base 2 calculations, you can more accurately determine data transfer rates in real-world applications, such as understanding your internet bandwidth usage over a month or the amount of data transferred by a server in your data center.