Terabits per day to Bytes per second conversion

How to convert terabits per day to bytes per second?

Certainly! To convert 1 Terabit per day to Bytes per second, you need to follow these steps:

1. Convert days to seconds:

   • There are 24 hours in a day.
   • There are 60 minutes in an hour.
   • There are 60 seconds in a minute.
   • Therefore, there are $24 \times 60 \times 60 = 86,400$ seconds in a day.

2. Convert Terabits to bits:

   • 1 Terabit is $1 \times 10^{12}$ bits (base 10).
   • 1 Terabit is $2^{40}$ bits (base 2).

3. Find the conversion:

   • Bytes per second is given by dividing the bits by the number of seconds in a day and then converting bits to Bytes (as there are 8 bits in a Byte).

Base 10 Conversion

1. Terabits: $1 \times 10^{12}$ bits
2. Seconds in a day: 86,400 seconds
3. Bytes per second: $\text{Bits per second} = \frac{1 \times 10^{12}}{86,400} \approx 11,574,074 \, \text{bits per second}$
4. Convert bits to Bytes (1 Byte = 8 bits): $\text{Bytes per second} = \frac{11,574,074}{8} \approx 1,446,759 \, \text{Bytes per second}$

Base 2 Conversion

1. Terabits: $1 \times 2^{40}$ bits
2. Seconds in a day: 86,400 seconds
3. Bytes per second: $\text{Bits per second} = \frac{1 \times 2^{40}}{86,400} \approx 12,589,254 \, \text{bits per second}$
4. Convert bits to Bytes (1 Byte = 8 bits): $\text{Bytes per second} = \frac{12,589,254}{8} \approx 1,573,657 \, \text{Bytes per second}$

Real World Examples

10 Terabits per day (Base 10):

1. Bits per day: $10 \times 10^{12}$ bits
2. Bits per second: $\frac{10 \times 10^{12}}{86,400} \approx 115,740,741 \, \text{bits per second}$
3. Bytes per second: $\frac{115,740,741}{8} \approx 14,467,592 \, \text{Bytes per second}$

100 Terabits per day (Base 2):

1. Bits per day: $100 \times 2^{40}$ bits
2. Bits per second: $\frac{100 \times 2^{40}}{86,400} \approx 1,258,925,465 \, \text{bits per second}$
3. Bytes per second: $\frac{1,258,925,465}{8} \approx 157,365,683 \, \text{Bytes per second}$

These calculations help illustrate how data transfer rates can be converted and understood in different units, providing a clearer picture of data flow rates for various scales and applications.