Megabits per day to Kibibits per day conversion

How to convert megabits per day to kibibits per day?

To convert from Megabits per day (Mb/day) to Kibibits per day (Kib/day), you need to understand the difference between the decimal (base 10) and binary (base 2) systems:

Base 10 (Decimal) Conversion:

1 Megabit (Mb) = 1,000,000 bits 1 Kibibit (Kib) = 1,024 bits (Note: Kibibit is always binary, so it doesn’t use base 10 for conversion)

Conversion Process: 1 Mb/day = 1,000,000 bits/day 1 Kib/day = 1,024 bits/day

So, to convert 1 Megabit per day to Kibibits per day: 1 Mb/day = 1,000,000 bits/day ÷ 1,024 bits/Kib = 976.5625 Kib/day

Base 2 (Binary) Conversion:

Note that in base 2, the prefix "Kibi" (binary) is always used.

Conversion Process: When dealing with base 2, 1 Megabit (Mb) is actually considered as 1 * 2^20 bits.

1 Mb (binary) = 1 * 2^20 bits = 1,048,576 bits

Given: 1 Kibibit (Kib) = 1,024 bits

So, to convert 1 Megabit per day (binary) to Kibibits per day: 1 Mb/day = 1,048,576 bits/day ÷ 1,024 bits/Kib = 1,024 Kib/day

Summary:

• 1 Megabit per day (base 10): 976.5625 Kibibits per day
• 1 Megabit per day (base 2): 1,024 Kibibits per day

Real-world Examples:

1. Streaming Video:

   • Streaming a low-resolution video may require a bandwidth of about 1 Mb/day. In Kibibits per day, this would be either approximately:
     • 976.5625 Kib/day (base 10)
     • 1,024 Kib/day (base 2)

2. Downloading Large Files:

   • Downloading a 500 Megabit file over the course of a day.
     • Base 10: 500,000,000 bits/day ÷ 1,024 bits/Kib ≈ 488,281.25 Kib/day
     • Base 2: 500 * 1,048,576 bits/day ÷ 1,024 bits/Kib = 512,000 Kib/day

3. Internet Speed Plans:

   • An internet plan that provides 10 Megabits per day would equate to:
     • Base 10: 10,000,000 bits/day ÷ 1,024 bits/Kib ≈ 9,765.625 Kib/day
     • Base 2: 10 * 1,048,576 bits/day ÷ 1,024 bits/Kib = 10,240 Kib/day

Understanding the distinction between these measurement systems can help in accurately interpreting data rates and storage capacities as they're often presented differently in marketing materials and technical specifications.