Question

The data rate of a binary signal with a bit time 11.5 microseconds is

• A. \(9600\,kbps\)
• B. \(8696\,kbps\)
• C. \(6700\,kbps\)
• D. \(8200\,kbps\)

Hint:

Data rate = inverse of bit duration.

Answer 1

The Correct Option is B

Concept: Data rate: \[ R = \frac{1}{T_b} \]

Step 1: Given \[ T_b = 11.5 \,\mu s = 11.5 \times 10^{-6} s \]

Step 2: Apply formula \[ R = \frac{1}{11.5 \times 10^{-6}} \]

Step 3: Calculate \[ R \approx 86956 \,bps \]

Step 4: Convert to kbps \[ R \approx 8.696 \,kbps \approx 8696\,kbps \]

Step 5: Conclusion \[ \boxed{8696\,kbps} \]

Final Answer: \[ \boxed{(B)} \]