Bytes per day to Kibibits per day conversion

How to convert bytes per day to kibibits per day?

To convert Bytes per day (B/day) to Kibibits per day (Kibit/day), you need to understand the relationship between these units. Bytes are typically converted to bits first, and then bits can be converted to Kibibits.

1 Byte (B) = 8 bits (b)

Next, we convert bits to Kibibits (Kibit). In base-2 (binary), 1 Kibibit = 1024 bits, while in base-10, 1 Kibibit (also referred to as a kilobit, abbreviated as kb) = 1000 bits. Let's go through both conversions:

Base-2 Conversion (Binary)

1. Start with 1 Byte/day.
2. Convert Bytes to bits: $1 \text{ B/day} \times 8 \text{ bits/Byte} = 8 \text{ bits/day}$
3. Convert bits to Kibibits: $8 \text{ bits/day} \div 1024 \text{ bits/Kibit} = \frac{8}{1024} \text{ Kibit/day} = 0.0078125 \text{ Kibit/day}$

Base-10 Conversion (Decimal)

1. Start with 1 Byte/day.
2. Convert Bytes to bits: $1 \text{ B/day} \times 8 \text{ bits/Byte} = 8 \text{ bits/day}$
3. Convert bits to Kibibits: $8 \text{ bits/day} \div 1000 \text{ bits/kilobit} = \frac{8}{1000} \text{ kilobits/day} = 0.008 \text{ kilobits/day}$ Note that in the base-10 system, kilobits rather than Kibibits are used.

Real-World Examples for Different Quantities of Bytes per Day

1. Typical Text File Transfer (approximately 10 KB/day)

   • 10,240 Bytes/day
   • Binary: $(10,240 \text{ B/day} \times 8) \div 1024 = 80 \text{ Kibit/day}$
   • Decimal: $(10,240 \text{ B/day} \times 8) \div 1000 = 81.92 \text{ kilobits/day}$

2. Photo Upload (approximately 2 MB/day)

   • 2,097,152 Bytes/day
   • Binary: $(2,097,152 \text{ B/day} \times 8) \div 1024 = 16,384 \text{ Kibit/day}$
   • Decimal: $(2,097,152 \text{ B/day} \times 8) \div 1000 = 16,777.216 \text{ kilobits/day}$

3. High Definition Video Streaming (approximately 1 GB/day)

   • 1,073,741,824 Bytes/day
   • Binary: $(1,073,741,824 \text{ B/day} \times 8) \div 1024 = 8,388,608 \text{ Kibit/day}$
   • Decimal: $(1,073,741,824 \text{ B/day} \times 8) \div 1000 = 8,589,934.592 \text{ kilobits/day}$

These calculations help in understanding how data transfer rates can be quantified in various scenarios, whether you're downloading a small document or streaming high-definition video.