Question

Assertion (A): 8-bit PCM system performs better than 4-bit PCM system. Reason (R): 8-bit system produces smaller quantization noise than 4-bit system.

• A. Both (A) and (R) are correct and (R) is correct explanation
• B. Both (A) and (R) are correct but (R) is not explanation
• C. (A) is correct but (R) is incorrect
• D. (A) is incorrect but (R) is correct

Hint:

More bits → less quantization noise → better PCM.

Answer 1

The Correct Option is A

Concept: Quantization noise depends on number of bits.

Step 1: Assertion Higher bits → better resolution → better performance. \[ \Rightarrow \text{Assertion is TRUE} \]

Step 2: Reason Quantization step size: \[ \Delta = \frac{V}{2^n} \] Higher $n$ → smaller $\Delta$ → less noise. \[ \Rightarrow \text{Reason is TRUE} \]

Step 3: Relation Reason correctly explains assertion. \[ \therefore \text{Correct answer is (A)} \]