bits per minute to Gigabits per day conversion

How to convert bits per minute to gigabits per day?

To convert 1 bit per minute (bpm) to gigabits per day (Gb/day), you can follow these steps:

Base 10 (Decimal) Conversion

1. Convert bits per minute to bits per hour: $1 \text{ bpm} \times 60 \text{ minutes/hour} = 60 \text{ bits/hour}$

2. Convert bits per hour to bits per day: $60 \text{ bits/hour} \times 24 \text{ hours/day} = 1440 \text{ bits/day}$

3. Convert bits per day to gigabits per day: $1 \text{ gigabit} = 10^9 \text{ bits (base-10)}$ $\text{So, } 1440 \text{ bits/day} = \frac{1440 \text{ bits/day}}{10^9} \text{ Gb/day} = 1.44 \times 10^{-6} \text{ Gb/day}$

Base 2 (Binary) Conversion

In base 2, the conversion largely follows similar steps, but the definition of a gigabit is different:

1. Same initial conversion steps from bits per minute to bits per day: $1 \text{ bpm} = 1440 \text{ bits/day}$

2. Convert bits per day to gigabits per day: $1 \text{ gibibit (binary gigabit)} = 2^{30} \text{ bits (base-2) or 1,073,741,824 bits}$ $\text{So, } 1440 \text{ bits/day} = \frac{1440 \text{ bits/day}}{2^{30}} \text{ Gb/day} = \frac{1440}{1,073,741,824} \text{ Gb/day} \approx 1.34 \times 10^{-6} \text{ Gb/day}$

Real-World Examples for Other Quantities of Bits per Minute

1. 10 Kbps:

   • Calculation: $10 \times 1000 \text{ bits/min} = 10,000 \text{ bits/min}$
   • Per hour: $10,000 \times 60 = 600,000 \text{ bits/hour}$
   • Per day: $600,000 \times 24 = 14,400,000 \text{ bits/day}$
   • In decimal (base-10) gigabits: $\frac{14,400,000}{10^9} \approx 0.0144 \text{ Gb/day}$
   • In binary (base-2) gigabits: $\frac{14,400,000}{2^{30}} \approx 0.0134 \text{ Gb/day}$

2. 1 Mbps:

   • Calculation: $1,000,000 \text{ bits/min}$
   • Per hour: $1,000,000 \times 60 = 60,000,000 \text{ bits/hour}$
   • Per day: $60,000,000 \times 24 = 1,440,000,000 \text{ bits/day}$
   • In decimal (base-10) gigabits: $\frac{1,440,000,000}{10^9} = 1.44 \text{ Gb/day}$
   • In binary (base-2) gigabits: $\frac{1,440,000,000}{2^{30}} \approx 1.34 \text{ Gb/day}$

3. Fiber internet (1 Gbps)

   • Calculation: $1,000,000,000 \text{ bits/min}$
   • Per hour: $1,000,000,000 \times 60 = 60,000,000,000 \text{ bits/hour}$
   • Per day: $60,000,000,000 \times 24 = 1,440,000,000,000 \text{ bits/day}$
   • In decimal (base-10) gigabits: $\frac{1,440,000,000,000}{10^9} = 1,440 \text{ Gb/day}$
   • In binary (base-2) gigabits: $\frac{1,440,000,000,000}{2^{30}} \approx 1,342 \text{ Gb/day}$

These conversions and examples help illustrate the data transfer rates in both decimal and binary systems for various scales of bits per minute.