Kibibits per second to Bytes per hour conversion

How to convert kibibits per second to bytes per hour?

To convert 1 Kibibit per second (Kibit/s) to Bytes per hour, you need to follow these steps:

Understanding Units

1. Kibibit (Kibit): A unit in base 2 measurements, where 1 Kibibit = $2^{10}$ bits = 1024 bits.
2. Byte: A unit of digital information that consists of 8 bits.
3. Hour: 1 hour = 3600 seconds.

Conversion Calculation

First, we'll convert Kibibits per second to bits per second, then to Bytes per second, and finally to Bytes per hour.

1. Kibibits to Bits: $1 \text{ Kibit/s} \times 1024 \text{ bits/Kibit} = 1024 \text{ bits/s}$

2. Bits to Bytes: $1024 \text{ bits/s} \div 8 \text{ bits/Byte} = 128 \text{ Bytes/s}$

3. Bytes per Second to Bytes per Hour: $128 \text{ Bytes/s} \times 3600 \text{ s/hr} = 460,800 \text{ Bytes/hr}$

Base 10 Conversion

In base 10, calculations assume 1 Kilobit = $10^3$ bits = 1000 bits.

1. Kilobits to Bits: $1 \text{ Kbit/s} \times 1000 \text{ bits/Kbit} = 1000 \text{ bits/s}$

2. Bits to Bytes: $1000 \text{ bits/s} \div 8 \text{ bits/Byte} = 125 \text{ Bytes/s}$

3. Bytes per Second to Bytes per Hour: $125 \text{ Bytes/s} \times 3600 \text{ s/hr} = 450,000 \text{ Bytes/hr}$

Real World Examples

• 1 Kibit/s (Kibibits per second):

  • Used for very low-speed data transfer, such as early dial-up modem speeds.

• 100 Kibit/s:

  • Equivalent to 12,800 Bytes per second or 45,056,000 Bytes per hour.
  • Comparable to MIDI file transfer rates in high-speed communication links.

• 1 Mibit/s (Mebibit per second):

  • $1 \text{ Mibit} = 1024 \text{ Kibit}$, therefore,
  • $1 \text{ Mibit/s} = 131,072 \text{ Bytes/s}$
  • Over an hour, this accounts for $131,072 \times 3600 = 471,859,200 \text{ Bytes/hr}$.
  • Used in moderate internet speeds and standard-definition streaming.

• 10 Gbit/s (Gigabit per second):

  • $1 \text{ Gbit} = 1,000 \times 1,000,000 \text{ bits}$, therefore,
  • $10 \text{ Gbit/s} = 1,250,000,000 \text{ Bytes/s}$
  • Over an hour, this is $1,250,000,000 \times 3600 = 4,500,000,000,000 \text{ Bytes/hr}$.
  • Applicable in high-speed fiber optic internet.

This should help you distinguish between different transfer rates and their associated data volumes using Kibibits and Bytes in both base 2 and base 10 measurements.