# ISRO CS 2016

 Question 1
Which of the following is true?
 A [TEX]\sqrt{3}+\sqrt{7}=\sqrt{10}[/TEX] B [TEX]\sqrt{3}+\sqrt{7}\leqslant \sqrt{10}[/TEX] C [TEX]\sqrt{3}+{\sqrt{7}< \sqrt{10}}[/TEX] D [TEX]\sqrt{3}+{\sqrt{7}> \sqrt{10}}[/TEX]
ISRO CS 2016
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 Question 2
A given connected graph is a Euler Graph if and only if all vertices of are of
 A same degree B even degree C odd degree D different degree
Graph Theory    ISRO CS 2016
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 Question 3
The maximum number of edges in a n-node undirected graph without self loops is
 A n2 B n(n-1)/2 C n-1 D n(n+1)/2
Graph Theory    ISRO CS 2016
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 Question 4
The minimum number of NAND gates required to implement the Boolean function A + AB'+ AB'C is equal to
 A 0 B 1 C 4 D 7
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Question 4 Explanation:
A + AB'+ AB'C =A(1+B') + AB'C =A + AB'C =A(1+B'C) =A So, no extra gate is required. Correct option is (A)
 Question 5
The minimum Boolean expression for the following circuit is: A AB + AC + BC B A + BC C A + B D A + B + C
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Question 5 Explanation:
We need to consider the different paths through which current can flow in this circuit by making the circuit complete. These 3 paths exist and the expression will be: A(B+C) + AB + (A+B)C = AB + AC + AB + AC + BC = AB + AC + BC. So, option (A) is correct.
 Question 6
For a binary half-subtractor having two inputs A and B, the correct set of logical expressions for the outputs D (= A minus B) and X (=borrow) are
 A D = AB + A'B , X = A'B B D = A'B + AB' , X = AB' C D = A'B + AB' , X = A'B D D = AB + A'B , X = AB'
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Question 6 Explanation:
The Truth Table of half subtractor is:
A       B      OUTPUT       BORROW
0       0        0            0
0       1        1            1
1       0        1            0
1       1        0            0
D = A'B + AB' X = A'B Option (D) is correct.
 Question 7
Consider the following gate network Which one of the following gates is redundant?
 A Gate No. 1 B Gate No. 2 C Gate No. 3 D Gate No. 4
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Question 7 Explanation:
Output = w' + w'z + z'xy = w'(1 + z) + z'xy = w' + z'xy From the expression, we can deduce that gate number 2 is redundant. So, option (B) is correct.
 Question 8
The dynamic hazard problem occurs in
 A combinational circuit alone B sequential circuit only C Both (a) and (b) D None of the above
Digital Logic & Number representation    ISRO CS 2016    Combinational Circuits
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 Question 9
The logic circuit given below converts a binary code into A Excess-3 code B Gray code C BCD code D Hamming Code
ISRO CS 2016
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 Question 10
The circuit given below in the figure below is A An oscillating circuit and its output is square wave B The one whose output remains stable in '1' state C The one having output remains stable in '0' state D has a single pulse of three times propagation delay
Digital Logic & Number representation    ISRO CS 2016    Logic functions and Minimization
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There are 72 questions to complete.

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