Kilobits per day to Bytes per day conversion

How to convert kilobits per day to bytes per day?

Sure! Let's start by understanding the basic conversions between kilobits, bytes, and the time units.

1 Kilobit (kb) = 1,000 bits (in base 10, commonly used in networking) 1 Kilobit (KiB) = 1,024 bits (in base 2, used in computing to adhere to binary prefixes)

1 Byte = 8 bits

Conversion for Base 10 (Decimal)

1 kilobit per day:

• Step 1: Convert kilobits to bits. 1 kb = 1,000 bits

• Step 2: Convert bits to bytes. 1 byte = 8 bits Therefore, $\text{{Bytes}} = \frac{{\text{{Bits}}}}{8}$ $\text{{Bytes}} = \frac{{1,000}}{8} = 125 \text{ bytes}$

Conversion for Base 2 (Binary)

1 kibibit per day:

• Step 1: Convert kibibits to bits. 1 Kib = 1,024 bits

• Step 2: Convert bits to bytes. $\text{{Bytes}} = \frac{{1,024}}{8} = 128 \text{ bytes}$

So, in summary:

• 1 Kilobit per day (Decimal) = 125 Bytes per day
• 1 Kibibit per day (Binary) = 128 Bytes per day

Real-World Examples for Other Quantities of Kilobits per Day

Example 1: 10 Kilobits per day

Base 10 Calculation: $10 \text{ kb} = 10 \times 125 = 1,250 \text{ Bytes per day}$

Base 2 Calculation: $10 \text{ Kib} = 10 \times 128 = 1,280 \text{ Bytes per day}$

Example 2: 100 Kilobits per day

Base 10 Calculation: $100 \text{ kb} = 100 \times 125 = 12,500 \text{ Bytes per day}$

Base 2 Calculation: $100 \text{ Kib} = 100 \times 128 = 12,800 \text{ Bytes per day}$

Example 3: 1,000 Kilobits per day

Base 10 Calculation: $1,000 \text{ kb} = 1,000 \times 125 = 125,000 \text{ Bytes per day}$

Base 2 Calculation: $1,000 \text{ KiB} = 1,000 \times 128 = 128,000 \text{ Bytes per day}$

Summary

When converting data transfer rates from Kilobits per day to Bytes per day:

• For base 10 (decimal), multiply by 125.
• For base 2 (binary), multiply by 128.

These conversions help in various computing and networking tasks such as estimating data requirements for different internet plans or understanding transfer capabilities of different types of connections.