Kilobits per hour to Bytes per hour conversion

How to convert kilobits per hour to bytes per hour?

To convert kilobits per hour (Kb/hr) to bytes per hour (B/hr), you need to understand the relationship between bits, bytes, and kilobits in different number bases (base 10 and base 2).

1 Byte = 8 bits 1 Kilobit (base 10) = 1,000 bits 1 Kilobit (base 2) = 1,024 bits

Let's break down the conversion for both base 10 and base 2:

Base 10 (Decimal)

1. Step 1: Start with 1 Kilobit (base 10)

   • 1 Kilobit (Kb) = 1,000 bits

2. Step 2: Convert bits to bytes

   • 1 Byte (B) = 8 bits
   • 1,000 bits ÷ 8 bits/Byte = 125 Bytes

3. Step 3: Convert Kilobits per hour to Bytes per hour

   • 1 Kilobit per hour (Kb/hr) = 125 Bytes per hour (B/hr)

Base 2 (Binary)

1. Step 1: Start with 1 Kilobit (base 2)

   • 1 Kilobit (Kb) = 1,024 bits

2. Step 2: Convert bits to bytes

   • 1 Byte (B) = 8 bits
   • 1,024 bits ÷ 8 bits/Byte = 128 Bytes

3. Step 3: Convert Kilobits per hour to Bytes per hour

   • 1 Kilobit per hour (Kb/hr) = 128 Bytes per hour (B/hr)

Summary

• Base 10: 1 Kilobit per hour (Kb/hr) = 125 Bytes per hour (B/hr)
• Base 2: 1 Kilobit per hour (Kb/hr) = 128 Bytes per hour (B/hr)

Real World Examples

Low-speed example:

• 56 Kb/hr in Base 10: $(56 \text{ Kb/hr}) \times (125 \text{ B/Kb}) = 7,000 \text{ B/hr}$

• 56 Kb/hr in Base 2: $(56 \text{ Kb/hr}) \times (128 \text{ B/Kb}) = 7,168 \text{ B/hr}$

Higher-speed example:

• 1,000 Kb/hr in Base 10: $(1,000 \text{ Kb/hr}) \times (125 \text{ B/Kb}) = 125,000 \text{ B/hr}$

• 1,000 Kb/hr in Base 2: $(1,000 \text{ Kb/hr}) \times (128 \text{ B/Kb}) = 128,000 \text{ B/hr}$

Fast Internet example:

• 1,000,000 Kb/hr in Base 10: $(1,000,000 \text{ Kb/hr}) \times (125 \text{ B/Kb}) = 125,000,000 \text{ B/hr}$

• 1,000,000 Kb/hr in Base 2: $(1,000,000 \text{ Kb/hr}) \times (128 \text{ B/Kb}) = 128,000,000 \text{ B/hr}$

These conversions are useful for understanding data transfer rates in network communication, digital storage, and various other computing applications.