In the following table, the left column contains the names of standard graph algorithms and the right column contains the time complexities of the algorithms.… Read More
Tag Archives: GATE-Gate IT 2005
In a depth-first traversal of a graph G with n vertices, k edges are marked as tree edges. The number of connected components in G… Read More
A function f defined on stacks of integers satisfies the following properties. f(∅) = 0 and f (push (S, i)) = max (f(S), 0) +… Read More
The numbers 1, 2, …. n are inserted in a binary search tree in some order. In the resulting tree, the right subtree of the… Read More
How many pulses are needed to change the contents of a 8-bit up counter from 10101100 to 00100111 (rightmost bit is the LSB)? (A) 134… Read More
A two-way switch has three terminals a, b and c. In ON position (logic value 1), a is connected to b, and in OFF position,… Read More
A dynamic RAM has a memory cycle time of 64 nsec. It has to be refreshed 100 times per msec and each refresh takes 100… Read More
Using Booth’s Algorithm for multiplication, the multiplier -57 will be recoded as (A) 0 -1 0 0 1 0 0 -1 (B) 1 1 0… Read More
Which of the following expressions is equivalent to (A⊕B)⊕C (A) (A+B+C)(A¯+B¯+C¯) (B) (A+B+C)(A¯+B¯+C) (C) ABC+A¯(B⊕C)+B¯(A⊕C) (D) None Answer: (C) Explanation: (A ⊕ B) ⊕ C… Read More
The language {0n 1n 2n | 1 ≤ n ≤ 106} is (A) regular (B) context-free but not regular. (C) context-free but its complement… Read More
Which of the following statements is TRUE about the regular expression 01*0? (A) It represents a finite set of finite strings. (B) It represents an… Read More
Let L be a regular language and M be a context-free language, both over the alphabet Σ. Let Lc and Mc denote the complements of… Read More
The determinant of the matrix given below is (A) -1 (B) 0 (C) 1 (D) 2 Answer: (A) Explanation: Matrices don’t have value associated… Read More
If the trapezoidal method is used to evaluate the integral obtained 0∫1x2dx ,then the value obtained (A) is always > (1/3) (B) is always <… Read More
A bag contains 10 blue marbles, 20 green marbles and 30 red marbles. A marble is drawn from the bag, its colour recorded and it… Read More
