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CHOOSE THE CORRECT ANSWER
1. The minimum number of bits per message required to encode the output of source
transmitting four different messages with probabilities 0.5,0.25,0.125and0.125is
2. (a) 1.5
3. (b) 1.75
4. (c) 2
5. (d) 1
2. A Binary Erasure channel has P(0/0)=P(1/1)=p; P(k/0)=P(k/1)=q. Its Capacity in
bits/symbol is
(a) p/q
(b) pq
(c) p
(d) q
3. The syndromes(x) o f a cyclic code is given by Reminder of the division [{V(x)+E(x)}
/g(x)], where V (x) is the transmitted code polynomial(x)is the error polynomial and g(x)
is the generator polynomial. The S(x) is also equal to
(a) Reminder of[V(x).E(x)]/g(x)
(b) Reminder of V(x)/g(x)
(c) Reminder of E(x)/g(x)
(d) Remaindering(x)/V(x)
5. The output of a continuous source is a uniform random variable in the range 0 ≤ x ≤ 4.
The entropy of the source in bits/samples
(a) 2
(b) 8
(c) 4
(d) 1
6. In a (6,3) systematic Linear Block code, the number of‘6‘bit code words that are not
useful is
(a) 45
(b) 64
(c) 8