Kilobits per second to Megabytes per hour conversion

How to convert kilobits per second to megabytes per hour?

Sure, let's go through the conversion process for 1 kilobit per second (kbps) to megabytes per hour (MB/h). We'll consider both the decimal (base 10) and binary (base 2) systems.

Base 10 (Decimal System)

1 kilobit per second (kbps) means 1,000 bits per second.

1. Convert kilobits to bits: $1 \text{ kbps} = 1,000 \text{ bits per second}$

2. Convert bits to bytes: $1 \text{ byte} = 8 \text{ bits}$ $1,000 \text{ bits per second} / 8 = 125 \text{ bytes per second}$

3. Convert bytes to megabytes: $1 \text{ megabyte} = 1,000,000 \text{ bytes}$ $125 \text{ bytes per second} \times 3,600 \text{ seconds per hour} = 450,000 \text{ bytes per hour}$ $450,000 \text{ bytes per hour} / 1,000,000 = 0.45 \text{ megabytes per hour}$

Base 2 (Binary System)

1 kilobit per second (kbps) means $2^{10}$ bits per second.

1. Convert kilobits to bits: $1 \text{ kbps} = 2^{10} = 1,024 \text{ bits per second}$

2. Convert bits to bytes: $1 \text{ byte} = 8 \text{ bits}$ $1,024 \text{ bits per second} / 8 = 128 \text{ bytes per second}$

3. Convert bytes to megabytes: $1 \text{ megabyte} = 2^{20} = 1,048,576 \text{ bytes}$ $128 \text{ bytes per second} \times 3,600 \text{ seconds per hour} = 460,800 \text{ bytes per hour}$ $460,800 \text{ bytes per hour} / 1,048,576 = \approx 0.439 \text{ megabytes per hour}$

Summary:

• Base 10 (Decimal): $\approx 0.45$ MB/h
• Base 2 (Binary): $\approx 0.439$ MB/h

Real-world Examples for Other Quantities of Kilobits per Second (kbps)

1. 10 kbps (Voice calls over VoIP):

   • Base 10: $10 \times 0.45 \text{ MB/h} = 4.5 \text{ MB/h}$
   • Base 2: $10 \times 0.439 \text{ MB/h} = 4.39 \text{ MB/h}$

2. 128 kbps (Basic streaming audio):

   • Base 10: $128 \times 0.45 \text{ MB/h} = 57.6 \text{ MB/h}$
   • Base 2: $128 \times 0.439 \text{ MB/h} = 56.192 \text{ MB/h}$

3. 1,000 kbps (Standard definition video streaming):

   • Base 10: $1,000 \times 0.45 \text{ MB/h} = 450 \text{ MB/h}$
   • Base 2: $1,000 \times 0.439 \text{ MB/h} = 439 \text{ MB/h}$

These examples show how different data rates affect the volume of data transferred over time.