Gigabits per hour to Kilobytes per day conversion

How to convert gigabits per hour to kilobytes per day?

To convert data transfer rates, we'll need to know the relationships between the units in both base 10 (decimal) and base 2 (binary).

Base 10 (SI Units)

• 1 Gigabit (Gb) = 1,000,000,000 bits
• 1 Kilobyte (KB) = 1,000 bytes
• 1 byte = 8 bits

Base 2 (Binary Units)

• 1 Gigabit (Gb) = 1,073,741,824 bits (2^30 bits)
• 1 Kibibyte (KiB) = 1,024 bytes (2^10 bytes)
• 1 byte = 8 bits

Conversion Steps

Base 10 (SI Units):

1. Gigabits per Hour to Bits per Hour: $1 \text{ Gb/hour} = 1,000,000,000 \text{ bits/hour}$

2. Bits per Hour to Bytes per Hour: $1,000,000,000 \text{ bits/hour} \div 8 = 125,000,000 \text{ bytes/hour}$

3. Bytes per Hour to Kilobytes per Hour: $125,000,000 \text{ bytes/hour} \div 1,000 = 125,000 \text{ KB/hour}$

4. Kilobytes per Hour to Kilobytes per Day: $125,000 \text{ KB/hour} \times 24 \text{ hours/day} = 3,000,000 \text{ KB/day}$

Base 2 (Binary Units):

1. Gigabits per Hour to Bits per Hour: $1 \text{ Gb/hour} = 1,073,741,824 \text{ bits/hour}$

2. Bits per Hour to Bytes per Hour: $1,073,741,824 \text{ bits/hour} \div 8 = 134,217,728 \text{ bytes/hour}$

3. Bytes per Hour to Kibibytes per Hour: $134,217,728 \text{ bytes/hour} \div 1,024 = 131,072 \text{ KiB/hour}$

4. Kibibytes per Hour to Kibibytes per Day: $131,072 \text{ KiB/hour} \times 24 \text{ hours/day} = 3,145,728 \text{ KiB/day}$

Summary

• Base 10 (SI):
  • 1 Gb/h = 3,000,000 KB/day
• Base 2 (Binary):
  • 1 Gb/h = 3,145,728 KiB/day

Real-World Examples

1. Streaming Video:

   • Let's say a streaming service has a bitrate of 5 Gigabits per hour (for a high-definition video stream).
   • Using base 10: $5 \text{ Gb/h} = 5 \times 3,000,000 \text{ KB/day} = 15,000,000 \text{ KB/day}$
   • Using base 2: $5 \text{ Gb/h} = 5 \times 3,145,728 \text{ KiB/day} = 15,728,640 \text{ KiB/day}$

2. Internet Bandwidth:

   • A household fiber-optic internet connection offers speeds of 1 Gigabit per hour.
   • Using base 10: $1 \text{ Gb/h} = 3,000,000 \text{ KB/day}$
   • Using base 2: $1 \text{ Gb/h} = 3,145,728 \text{ KiB/day}$

3. Data Center Data Transfer:

   • A data center might have a transfer rate of 10 Gigabits per hour.
   • Using base 10: $10 \text{ Gb/h} = 10 \times 3,000,000 \text{ KB/day} = 30,000,000 \text{ KB/day}$
   • Using base 2: $10 \text{ Gb/h} = 10 \times 3,145,728 \text{ KiB/day} = 31,457,280 \text{ KiB/day}$

These examples illustrate how the conversion works and how the difference between base 10 and base 2 can affect data metrics.