bits per minute to Kilobits per second conversion

How to convert bits per minute to kilobits per second?

To convert bits per minute (bpm) to kilobits per second (kbps), we need to understand the relationship between these units and the difference in using base 10 and base 2.

Definition and Conversion

• Base 10 (Decimal) uses the following:
  • 1 kilobit (kb) = 1000 bits (b)
• Base 2 (Binary) uses the following:
  • 1 kibibit (Kib) = 1024 bits (b)

Conversion Steps

1. Convert bits per minute to bits per second (bps):

   • There are 60 seconds in a minute.
   • So, 1 bit per minute = $\frac{1 \text{ bit}}{60 \text{ seconds}}$ = 0.01667 bits per second (bps).

2. Convert bits per second to kilobits per second (kbps):

Base 10 (Decimal System)

• Using base 10:
  • 0.01667 bits per second / 1000 = 0.00001667 kilobits per second (kbps).

Base 2 (Binary System)

• Using base 2:
  • 0.01667 bits per second / 1024 = 0.00001628 kibibits per second (Kibps).

Real-World Examples for Other Quantities of Bits Per Minute

Let's consider some common quantities of bits per minute and convert them to kilobits per second.

Example 1: 60 bits per minute

Steps:

1. Convert to bits per second: $\frac{60 \text{ bits}}{60 \text{ seconds}} = 1 \text{ bit per second (bps)}$.
2. Convert to kilobits per second (base 10): $1 \text{ bps} / 1000 = 0.001 \text{ kbps}$.
3. Convert to kibibits per second (base 2): $1 \text{ bps} / 1024 = 0.00097656 \text{ Kibps}$.

Example 2: 6000 bits per minute

Steps:

1. Convert to bits per second: $\frac{6000 \text{ bits}}{60 \text{ seconds}} = 100 \text{ bits per second (bps)}$.
2. Convert to kilobits per second (base 10): $100 \text{ bps} / 1000 = 0.1 \text{ kbps}$.
3. Convert to kibibits per second (base 2): $100 \text{ bps} / 1024 = 0.097656 \text{ Kibps}$.

Example 3: 1,200,000 bits per minute

Steps:

1. Convert to bits per second: $\frac{1,200,000 \text{ bits}}{60 \text{ seconds}} = 20,000 \text{ bits per second (bps)}$.
2. Convert to kilobits per second (base 10): $20,000 \text{ bps} / 1000 = 20 \text{ kbps}$.
3. Convert to kibibits per second (base 2): $20,000 \text{ bps} / 1024 \approx 19.53125 \text{ Kibps}$.

In summary, to convert bits per minute to kilobits per second, first convert to bits per second, then convert to kilobits per second using either the base 10 system (with 1000 bits per kilobit) or the base 2 system (with 1024 bits per kibibit). The process remains similar regardless of the quantity, scaling up or down appropriately.