Kilobits per hour to Bytes per day conversion

How to convert kilobits per hour to bytes per day?

To convert kilobits per hour (Kb/h) to bytes per day (B/day), we'll follow these steps:

1. Convert kilobits to bits: 1 kilobit (Kb) = 1000 bits (b) (base 10) or 1 kilobit (Kb) = 1024 bits (b) (base 2).
2. Convert bits to bytes: 1 byte (B) = 8 bits (b).
3. Convert hours to days: 1 day = 24 hours.

Let's go step-by-step for both base 10 and base 2:

Base 10 Conversion

1. Convert kilobits to bits: $1 \, \text{Kb/h} = 1000 \, \text{bits/h}$

2. Convert bits to bytes: $1000 \, \text{bits/h} \div 8 = 125 \, \text{bytes/h}$

3. Convert hours to days: $125 \, \text{bytes/h} \times 24 \, \text{h/day} = 3000 \, \text{bytes/day}$

So, in base 10, 1 kilobit per hour is equivalent to 3000 bytes per day.

Base 2 Conversion

1. Convert kilobits to bits: $1 \, \text{Kb/h} = 1024 \, \text{bits/h}$

2. Convert bits to bytes: $1024 \, \text{bits/h} \div 8 = 128 \, \text{bytes/h}$

3. Convert hours to days: $128 \, \text{bytes/h} \times 24 \, \text{h/day} = 3072 \, \text{bytes/day}$

So, in base 2, 1 kilobit per hour is equivalent to 3072 bytes per day.

Real World Examples

• Streaming Audio (Base 10): If you have a streaming audio service transmitting at 256 Kb/h in base 10, it would be equivalent to: $256 \, \text{Kb/h} \rightarrow 256 \times 3000 = 768000 \, \text{bytes/day}$ (768 KB/day)

• IoT Sensor Data (Base 2): A simple IoT sensor might transmit data at 8 Kb/h in base 2. This would be equivalent to: $8 \, \text{Kb/h} \rightarrow 8 \times 3072 = 24576 \, \text{bytes/day}$ (24 KB/day)

• Website Traffic (Base 10): A small website could generate traffic of 1024 Kb/h, which in base 10 would be: $1024 \, \text{Kb/h} \rightarrow 1024 \times 3000 = 3072000 \, \text{bytes/day}$ (3.072 MB/day)

These examples show how different applications and services might generate or use data at specific rates measured in kilobits per hour and converted to a daily usage in bytes.