December 2014 - Paper 3

21:  

The pushdown automation M = ( {q0, q1, q2}',{a, b}, {0, 1}, δ, q0,0, {q0}) with

δ (q0, a, 0) = {(q1,10)}

δ (q1,a, 1) = {(q1,11)}

δ (q1,b, 1) = {(q2 , λ)}

δ(q2 , b, 1) = {(q2 , λ)}

δ (q2 , A, 0) = {(q0, λ)}

Accepts the language

A.

L= {anbml n,m >=0}

B.

L= {anbnl n >=0}

C.

L= {anbml n,m >0}

D.

L= {anbnl n >0}

 
 

Option: A

Explanation :

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22:  

Given two languages:

L1= {(ab)n,ak I n> k, k >=0}

L= {an bm l n ≠ m}

Using pumping lemma for regular language, it can be shown that

A.

L1 is regular and L2 is not regular.

B.

L1 is not regular and L2 is regular.

C.

L1 is regular and L2 is regular.

D.

L1 is not regular and L2 is not regular.

 
 

Option: A

Explanation :

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23:  

Regular expression for the complement of language L = {an bm I n ≥ 4, m ≤ 3} is

A.

(a + b)* ba(a + b)*

B.

a* bbbbb*

C.

(λ + a + aa + aaa)b* + (a + b)* ba(a + b)*

D.

None of the above

 
 

Option: D

Explanation :

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24:  
For n devices in a network, ____ , number of duplex-mode links are required, for a mesh topology.
A.

n(n + 1)

B.

n(n - 1)

C.

n(n + 1) /2

D.

n(n - 1)/2

 
 

Option: C

Explanation :

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ESWAR said: (4:45pm on Monday 11th May 2015)
The number of physical links needed in a fully connected mesh network with nnodes are, n(n - 1). However, if each physical link allows communication in both directions (duplex mode), we can divide the number of links by 2. In other words, we can say that in a mesh topology, we need n(n -1) /2 duplex-mode links. so the answer is D.

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25:  
How many characters per second (7 bits + 1 parity) can be transmitted over a 3200 bps line if the transfer is asynchronous? (Assuming 1 start bit and 1 stop bit)
A.

300

B.

320

C.

360

D.

400

 
 

Option: B

Explanation :

In asynchronous mode total no of bits are 7+1+2=10 so answer is 3200/10=320

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