MCQOPTIONS
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MCQOPTIONS
This section includes 19 Mcqs, each offering curated multiple-choice questions to sharpen your Electronics & Communication Engineering knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
For any binary (n, h) linear code with minimum distance (2t + 1) or greater \(n - h \ge {\log _2}\left[ {\mathop \sum \limits_{i = 0}^α \left( {\begin{array}{*{20}{c}} n\\ i \end{array}} \right)} \right]\) where α is: |
| A. | 2t + 1 |
| B. | t + 1 |
| C. | t - 1 |
| D. | t |
| Answer» C. t - 1 | |
| 2. |
If the probability of a message is 1/4, then the information in bits is: |
| A. | 8 bit |
| B. | 4 bit |
| C. | 2 bit |
| D. | 1 bit |
| Answer» D. 1 bit | |
| 3. |
A fair dice is rolled one. Find the entropy of the outcomes. |
| A. | 4.564 bits |
| B. | 2.585 bits |
| C. | 3.256 bits |
| D. | 2.654 bits |
| Answer» C. 3.256 bits | |
| 4. |
In a binary source, 0s occur three times as often as 1s. What is the information contained in the 1s? |
| A. | 0.415 bit |
| B. | 0.333 bit |
| C. | 3 bit |
| D. | 2 bit |
| Answer» E. | |
| 5. |
Four sources are generating information as given below(a) Source1: \({p_1} - \frac{1}{4},{p_2} = \frac{1}{4},{p_3} = \frac{1}{4},{p_4} = \frac{1}{4}\)(b) Source2: \({p_1} = \frac{1}{2},{p_2} = \frac{1}{4},{p_3} = \frac{1}{8},{p_4} = \frac{1}{8}\)(c) Source3: \({p_1} = \frac{1}{2},{p_2} = \frac{1}{2},{p_3} = \frac{1}{4},{p_4} = \frac{1}{8}\)(d) Source4: \({p_1} = \frac{1}{2},{p_2} = \frac{1}{4},{p_3} = \frac{1}{4},{p_4} = \frac{1}{8}\)Arrange theses sources in the descending order of their entropy (H). |
| A. | (c), (d), (a), (b) |
| B. | (a), (d), (c), (b) |
| C. | (d), (c), (a), (b) |
| D. | (b), (a), (c), (d) |
| Answer» C. (d), (c), (a), (b) | |
| 6. |
A binary source In which 0s occurs 3 times as often as 1s. Then its entropy in bits/symbol will be |
| A. | 0.75 bits/symbol |
| B. | 0.25 bits/symbol |
| C. | 0.81 bits/symbol |
| D. | 0.85 bits/symbol |
| Answer» D. 0.85 bits/symbol | |
| 7. |
If the SNR of 8 kHz white bandlimited Gaussian channel is 25 dB the channel capacity is: |
| A. | 2.40 kbps |
| B. | 53.26 kbps |
| C. | 66.47 kbps |
| D. | 26.84 kbps |
| Answer» D. 26.84 kbps | |
| 8. |
For a White Additive Gaussian Channel, the channel bandwidth is 100 MHz, and the S/N power ratio is 40 dB, find the Channel capacity in bits/sec |
| A. | 1328.786 × 106 bits/sec |
| B. | 1248.687 × 106 bits/sec |
| C. | 1245.687 × 106 bits/sec |
| D. | 2245.687 × 106 bits/sec |
| Answer» B. 1248.687 × 106 bits/sec | |
| 9. |
Information is: |
| A. | the synonym of probability |
| B. | not related to the probability of information |
| C. | inversely proportional to the probability of information |
| D. | directly proportional to the probability of information |
| Answer» D. directly proportional to the probability of information | |
| 10. |
For a system having 16 distinct symbols, maximum entropy is obtained when probabilities are: |
| A. | 1/8 |
| B. | 1/4 |
| C. | 1/3 |
| D. | 1/16 |
| Answer» E. | |
| 11. |
Channel capacity of a noise-free channel having m symbols is given by: |
| A. | m2 |
| B. | 2m |
| C. | Log2m |
| D. | m |
| Answer» D. m | |
| 12. |
A random experiment has 64 equally likely outcomes. Find the information associated with each outcome. |
| A. | 3 bits |
| B. | 2 bits |
| C. | 6 bits |
| D. | 5 bits |
| Answer» D. 5 bits | |
| 13. |
Calculate the capacity of a standard 4 KHz telephone channel with 32 dB signal-to-noise ratio. |
| A. | 16428 bps |
| B. | 1586 bps |
| C. | 3100 bps |
| D. | 42524 bps |
| Answer» E. | |
| 14. |
A source generates four messages m1, m2, m3, and m4 with probabilities 0.5, 0.25, 0.125 and 0.125 respectively. The messages are generated independently of each other. A source coder assigns binary code to each message. Which of the following codes has minimum average length and is also uniquely decodable (sequence as per m1, m2, m3, m4)? |
| A. | 00, 01, 10, 11 |
| B. | 0, 1, 10, 11 |
| C. | 110, 111, 10, 0 |
| D. | 0, 10, 110, 111 |
| Answer» E. | |
| 15. |
Find the channel capacity of the noiseless discrete channel, with n symbols; x1, x2, x3,…, xn. |
| A. | C = log2 4n |
| B. | C = log2 2n |
| C. | C = log2 n2 |
| D. | C = log2 n |
| Answer» E. | |
| 16. |
For Gaussian and White channel noise, the capacity of a low-pass channel with a usable bandwidth of 3000 Hz and S/N= 103 at the channel output will be |
| A. | 15000 bits/s |
| B. | 20000 bits/s |
| C. | 25000 bits/s |
| D. | 30000 bits/s |
| Answer» E. | |
| 17. |
A source produces three symbols A, B and C with probabilities, P(A) = ½, P(B) = ¼ and P(C) = ¼. The source entropy is |
| A. | ½ bit/symbol |
| B. | 1 bit/symbol |
| C. | 1 ¼ bits/symbol |
| D. | 1 ½ bits/symbol |
| Answer» E. | |
| 18. |
Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)Assertion (A): The Syndrome depends on both the error pattern and the transmitted code word.Reasons (R): All error patterns that differ by a code word have the same syndrome.In the light of the above statements, choose the correct answer from the options given below: |
| A. | Both (A) and (R) are true and (R) is the correct explanation of (A) |
| B. | Both (A) and (R) are true but (R) is not the correct explanation of (A) |
| C. | (A) is true but (R) is false |
| D. | (A) is false but (R) is true |
| Answer» E. | |
| 19. |
A discrete source emits four symbols with probabilities (1/3), (1/3), (1/4) and (1/12) every 100μs. The information rate is: |
| A. | 9795.5 symbols/sec |
| B. | 1.855 symbols/sec |
| C. | 18.55 K bits/ sec |
| D. | 18.55 bits/ sec |
| Answer» D. 18.55 bits/ sec | |