Question

Suppose we can download 10 pages per minut
E. A page has 24 lines on average and a line has 80 characters on averag
E. Assuming 8 bits per character, the bit rate is :

• A. $6.4 \times 10^5$ bps
• B. $1.536 \times 10^5$ bps
• C. $8.64 \times 10^3$ bps
• D. $2.56 \times 10^3$ bps

Hint:

Always convert all units (minutes to seconds, characters to bits) before doing the final division to avoid simple calculation errors.

Answer 1

The Correct Option is D

To find the bit rate in bits per second (bps), we need to calculate the total number of bits downloaded and divide it by the total time in seconds. 1. Calculate Bits per Page: Each page consists of: $24 \text{ lines} \times 80 \text{ characters/line} \times 8 \text{ bits/character} = 15,360 \text{ bits per page}$ 2. Calculate Total Bits per Minute: The download rate is 10 pages per minute: $10 \text{ pages} \times 15,360 \text{ bits/page} = 153,600 \text{ bits per minute}$ 3. Convert to Bits per Second (bps): There are 60 seconds in a minute: $\text{Bit Rate} = \frac{153,600 \text{ bits}}{60 \text{ seconds}} = 2,560 \text{ bps}$ 4. Final Scientific Notation: $2,560 \text{ bps} = 2.56 \times 10^3 \text{ bps}$