bits per day to Bytes per minute conversion

How to convert bits per day to bytes per minute?

Converting bits per day (bpd) to bytes per minute (Bpm) involves a few steps to account for unit conversions. Here's the breakdown for both base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal System)

1. Convert days to minutes: 1 day = 24 hours 1 hour = 60 minutes Therefore, 1 day = 24 × 60 = 1440 minutes.

2. Convert bits to bytes: 1 byte = 8 bits.

Given:

• 1 bit per day (bpd)

Let's find how many bits per minute this is: $\text{Bits per minute} = \frac{1 \text{ bit}}{1440 \text{ minutes}}$

Next, convert bits per minute to bytes per minute: $1 \text{ bit} = \frac{1}{8} \text{ byte}$ $\text{Bytes per minute} = \frac{1 \text{ bit per minute}}{8}$ $\text{Bytes per minute} = \frac{1}{8 \cdot 1440} \text{ bytes}$

Therefore, $\text{Bytes per minute} = \frac{1}{11520} \approx 8.68 \times 10^{-5} \text{ bytes per minute}$

Base 2 (Binary System)

The concept of converting between bits and bytes remains the same, but we typically use it in the context of addressing memory or storage sizes rather than transfer rates. For practical purposes here, the conversion steps are identical up to the point where we switch to bytes.

Given:

• 1 bit per day (bpd)

Again, start with: $\text{Bits per minute} = \frac{1 \text{ bit}}{1440 \text{ minutes}}$

Convert bits per minute to bytes per minute in base 2: $1 byte = 8 bits$

$\text{Bytes per minute} = \frac{1 \text{ bit per minute}}{8} = \frac{1}{11520} \text{ bytes per minute}$

Real-world Examples

To make these concepts clearer, let's use other quantities:

1. 10$^6$ bits per day (1 Megabit per day): $\text{Bits per minute} = \frac{10^6 \text{ bits}}{1440 \text{ minutes}} \approx 694.44 \text{ bits per minute}$ $\text{Bytes per minute} = \frac{694.44}{8} \approx 86.81 \text{ bytes per minute}$

2. 10^9 bits per day (1 Gigabit per day): $\text{Bits per minute} = \frac{10^9 \text{ bits}}{1440 \text{ minutes}} \approx 694444.44 \text{ bits per minute}$ $\text{Bytes per minute} = \frac{694444.44}{8} \approx 86805.56 \text{ bytes per minute}$

3. 10^12 bits per day (1 Terabit per day): $\text{Bits per minute} = \frac{10^{12} \text{ bits}}{1440 \text{ minutes}} \approx 694444444.44 \text{ bits per minute}$ $\text{Bytes per minute} = \frac{694444444.44}{8} \approx 86805555.56 \text{ bytes per minute}$

Summary

• In both base 10 and base 2 systems, 1 bit per day converts to approximately $8.68 \times 10^{-5}$ bytes per minute.
• For larger data rates, simply scale by the relevant factor (e.g., Mega, Giga, Tera) and apply the same conversion steps.