Calculate Data Bit Rate

This solution explains the step-by-step calculation to determine the bit rate based on given download speed and page content details.

Calculate Characters Per Page

Determine the total number of characters on a single page.

• Given: 24 lines per page and 80 characters per line.
• Calculation: Total characters = $24 \text{ lines/page} \times 80 \text{ characters/line} = 1920 \text{ characters/page}$

Calculate Bits Per Page

Convert the total characters per page into bits using the bits per character information.

• Given: 8 bits per character.
• Calculation: Total bits per page = $1920 \text{ characters/page} \times 8 \text{ bits/character} = 15360 \text{ bits/page}$

Calculate Download Speed in Pages Per Second

Convert the download speed from pages per minute to pages per second.

• Given: 10 pages per minute.
• Calculation: Speed = $\frac{10 \text{ pages}}{1 \text{ minute}} \times \frac{1 \text{ minute}}{60 \text{ seconds}} = \frac{10}{60} \text{ pages/second} = \frac{1}{6} \text{ pages/second}$

Calculate Overall Bit Rate

Compute the final bit rate in bits per second (bps).

• Calculation: Bit rate = (Total bits per page) $\times$ (Download speed in pages/second)
• Bit rate = $15360 \text{ bits/page} \times \frac{1}{6} \text{ pages/second}$
• Bit rate = $\frac{15360}{6} \text{ bps} = 2560 \text{ bps}$
• Expressing the result in scientific notation: $2560 \text{ bps} = 2.56 \times 10^3 \text{ bps}$

Final Result

The calculated bit rate is $2.56 \times 10^3$ bps.