Recent questions tagged gate1994

0 votes

1 answer

1

GATE1994
The number of substrings(of all lengths inclusive) that can be formed from character string of length n is $a)n$ $b)n^{2}$ $c)\frac{n\left ( n-1 \right )}{2}$ $d)\frac{n\left ( n+1 \right )}{2}+1$

asked May 16, 2018 in Theory of Computation by anji (29 points) | 257 views

+13 votes

4 answers

2

GATE1992-04-c
Design a 3-bit counter using D-flip flops such that not more than one flip-flop changes state between any two consecutive states.

asked Sep 22, 2015 in Digital Logic by Arjun Veteran (400k points) | 799 views

+12 votes

1 answer

3

GATE1992-04-b
A priority encoder accepts three input signals $\text{(A, B and C)}$ and produces a two-bit output $(X1, X0 )$ corresponding to the highest priority active input signal. Assume $A$ has the highest priority followed by $B$ and $C$ has the lowest ... none of the inputs are active the output should be $00$, design the priority encoder using $4:1$ multiplexers as the main components.

asked Sep 22, 2015 in Digital Logic by Arjun Veteran (400k points) | 1k views

+21 votes

2 answers

4

GATE1994-28
Consider the resource allocation graph in the figure. Find if the system is in a deadlock state Otherwise, find a safe sequence

asked Oct 6, 2014 in Operating System by Kathleen Veteran (59.9k points) | 2.2k views

+15 votes

3 answers

5

GATE1994-27
Draw a precedence graph for the following sequential code. The statements are numbered from $S_1$ to $S_6$ $S_1$ read n $S_2$ i := 1 $S_3$ if i > n next $S_4$ a(i) := i+1 $S_5$ i := i+1 $S_6$ next : write a(i) Can this graph be converted to a concurrent program using parbegin-parend construct only?

asked Oct 6, 2014 in Operating System by Kathleen Veteran (59.9k points) | 1.3k views

+20 votes

2 answers

6

GATE1994-26
A queue $Q$ containing $n$ items and an empty stack $S$ are given. It is required to transfer all the items from the queue to the stack, so that the item at the front of queue is on the TOP of the stack, and the order of all other items ... operations which can be performed on the queue and stack are Delete, Insert, Push and Pop. Do not assume any implementation of the queue or stack.

asked Oct 6, 2014 in DS by Kathleen Veteran (59.9k points) | 1.3k views

+15 votes

4 answers

7

GATE1994-25
An array $A$ contains $n$ integers in non-decreasing order, $A[1] \leq A[2] \leq \cdots \leq A[n]$. Describe, using Pascal like pseudo code, a linear time algorithm to find $i, j,$ such that $A[i]+A[j]=a$ given integer $M$, if such $i, j$ exist.

asked Oct 6, 2014 in DS by Kathleen Veteran (59.9k points) | 869 views

+20 votes

1 answer

8

GATE1994-24
An independent set in a graph is a subset of vertices such that no two vertices in the subset are connected by an edge. An incomplete scheme for a greedy algorithm to find a maximum independent set in a tree is given below: V: Set of all vertices in ... Output(I); Complete the algorithm by specifying the property of vertex $u$ in each case. What is the time complexity of the algorithm?

asked Oct 6, 2014 in Algorithms by Kathleen Veteran (59.9k points) | 1.1k views

+4 votes

0 answers

9

GATE1994-23
Suppose we have a computer with single register and only three instructions given below: ... (E)\mid id$}\\ \end{array}$ Write a syntax directed translation to generate code using this grammar for the computer described above.

asked Oct 6, 2014 in Compiler Design by Kathleen Veteran (59.9k points) | 381 views

+1 vote

1 answer

10

GATE1994-22
Consider the program below: Program main: var r:integer; procedure two: begin write (r); end procedure one: var r:integer; begin r:=5; two; end begin r:=2; two; one; two; end What is printed by the above program if Static scoping is assumed for all variables; Dynamic scoping is assumed for all variables. Give reasons for your answer.

asked Oct 6, 2014 in Programming by Kathleen Veteran (59.9k points) | 450 views

+13 votes

3 answers

11

GATE1994-21
Consider the following recursive function: function fib (n:integer);integer; begin if (n=0) or (n=1) then fib := 1 else fib := fib(n-1) + fib(n-2) end; The above function is run on a computer with a stack of $64$ bytes. Assuming that only ... and an address takes $2$ bytes each, estimate the maximum value of $n$ for which the stack will not overflow. Give reasons for your answer.

asked Oct 6, 2014 in Programming by Kathleen Veteran (59.9k points) | 1.5k views

+11 votes

4 answers

12

GATE1994-20
A grammar $G$ is in Chomsky-Normal Form (CNF) if all its productions are of the form $A \to BC$ or $A \to a$, where $A,B$ and $C$, are non-terminals and $a$ is a terminal. Suppose $G$ is a CFG in CNF and $w$ is a string in $L(G)$ of length $n$, then how long is a derivation of $w$ in $G$?

asked Oct 6, 2014 in Compiler Design by Kathleen Veteran (59.9k points) | 1.1k views

+15 votes

3 answers

13

GATE1994-19
(a) Given a set: $S = \left\{x \mid \text{ there is an x-block of 5's in the decimal expansion of } \pi\right\}$ (Note: $x$-$block$ is a maximal block of $x$ successive $5$ ... Given that a language $L_1$ is regular and and that the language $L_1 \cup L_2$ is regular, is the language $L_2$ always regular? Prove your answer.

asked Oct 6, 2014 in Theory of Computation by Kathleen Veteran (59.9k points) | 1.3k views

+14 votes

2 answers

14

GATE1994-18
State whether the following statements are True or False with reasons for your answer A subroutine cannot always be used to replace a macro in an assembly language program. A symbol declared as ‘external’ in an assembly language program is assigned an address outside the program by the assembler itself.

asked Oct 6, 2014 in Compiler Design by Kathleen Veteran (59.9k points) | 621 views

+9 votes

3 answers

15

GATE1994-17
State whether the following statements are True or False with reasons for your answer: Coroutine is just another name for a subroutine. A two pass assembler uses its machine opcode table in the first pass of assembly.

asked Oct 6, 2014 in Compiler Design by Kathleen Veteran (59.9k points) | 569 views

+3 votes

0 answers

16

GATE1994-16
Every element $a$ of some ring $(R, +, o)$ satisfies the equation $a\;o\;a=a$. Decide whether or not the ring is commutative.

asked Oct 6, 2014 in Set Theory & Algebra by Kathleen Veteran (59.9k points) | 220 views

+13 votes

2 answers

17

GATE1994-15
Use the patterns given to prove that $\sum\limits_{i=0}^{n-1} (2i+1) = n^2$ (You are not permitted to employ induction) Use the result obtained in (a) to prove that $\sum\limits_{i=1}^{n} i = \frac{n(n+1)}{2}$

asked Oct 6, 2014 in Combinatory by Kathleen Veteran (59.9k points) | 467 views

+19 votes

6 answers

18

GATE1994-14
Consider $B^+$ - tree of order $d$ shown in figure. (A $B^+$ - tree of order $d$ contains between $d$ and $2d$ keys in each node) Draw the resulting $B^+$ - tree after $100$ is inserted in the figure below. For a $B^+$ - tree of order $d$ with $n$ leaf nodes, the number of nodes accessed during a search is $O(-)$.

asked Oct 6, 2014 in Databases by Kathleen Veteran (59.9k points) | 2.5k views

+12 votes

2 answers

19

GATE1994-13
Consider the following relational schema: COURSES (cno, cname) STUDENTS (rollno, sname, age, year) REGISTERED FOR (cno, rollno) The underlined attributes indicate the primary keys for the relations. The year' attribute for the STUDENTS relation indicates the year in which ... have registered for cno 322. Write a SQL query to print the age and year of the youngest student in each year.

asked Oct 6, 2014 in Databases by Kathleen Veteran (59.9k points) | 798 views

+12 votes

3 answers

20

GATE1994-12
Assume that a CPU has only two registers $R_1$ and $R_2$ and that only the following instruction is available $XOR \: R_i, R_j;\{R_j \leftarrow R_i \oplus R_j, \text{ for } i, j =1, 2\}$ Using this XOR instruction, find an instruction sequence in order to ... $R_1$ and $R_2$ The line p of the circuit shown in figure has stuck at 1 fault. Determine an input test to detect the fault.

asked Oct 6, 2014 in CO & Architecture by Kathleen Veteran (59.9k points) | 897 views

+12 votes

2 answers

21

GATE1994-11
Find the contents of the flip-flop $Q_2, Q_1$ and $Q_0$ in the circuit of figure, after giving four clock pulses to the clock terminal. Assume $Q_2Q_1Q_0=000$ initially.

asked Oct 6, 2014 in Digital Logic by Kathleen Veteran (59.9k points) | 956 views

0 votes

0 answers

22

GATE1994-10

asked Oct 6, 2014 in CO & Architecture by Kathleen Veteran (59.9k points) | 146 views

+15 votes

5 answers

23

GATE1994-9
Following $7$ ... (assuming that at most $1$ bit could be corrupted). If the message contains an error find the bit which is erroneous and gives correct message.

asked Oct 6, 2014 in Computer Networks by Kathleen Veteran (59.9k points) | 1.5k views

+18 votes

2 answers

24

GATE1994-8
A rooted tree with $12$ nodes has its nodes numbered $1$ to $12$ in pre-order. When the tree is traversed in post-order, the nodes are visited in the order $3, 5, 4, 2, 7, 8, 6, 10, 11, 12, 9, 1$. Reconstruct the original tree from this information, that is, find the parent of each node, and show the tree diagrammatically.

asked Oct 6, 2014 in DS by Kathleen Veteran (59.9k points) | 1.6k views

+3 votes

1 answer

25

GATE1994-7
An array $A$ contains $n$ integers in locations $A[0], A[1], \dots A[n-1]$. It is required to shift the elements of the array cyclically to the left by $K$ places, where $1\leq K \leq n-1$. An incomplete algorithm for doing this in linear time, without using another array is given below. ... A[j]:=____; j:=(j+K) mod n; if j<min then min:=j; end; A[(n+i-K)mod n]:=____; i:=______; end;

asked Oct 6, 2014 in Algorithms by Kathleen Veteran (59.9k points) | 374 views

+11 votes

2 answers

26

GATE1994-6
What function of $x$, $n$ is computed by this program? Function what(x, n:integer): integer: Var value : integer begin value := 1 if n > 0 then begin if n mod 2 =1 then value := value * x; value := value * what(x*x, n div 2); end; what := value; end;

asked Oct 6, 2014 in Algorithms by Kathleen Veteran (59.9k points) | 626 views

+12 votes

1 answer

27

GATE1994-5
A $3-\text{ary}$ tree is a tree in which every internal node has exactly three children. Use induction to prove that the number of leaves in a $3-\text{ary}$ tree with $n$ internal nodes is $2(n-1)$.

asked Oct 6, 2014 in DS by Kathleen Veteran (59.9k points) | 1.1k views

+17 votes

1 answer

28

GATE1994-4
Let $*$ be a Boolean operation defined as $A*B = AB + \overline{A}\;\overline{B}$. If $C=A*B$ then evaluate and fill in the blanks: $A*A=$____ $C*A=$____ Solve the following boolean equations for the values of $A, B$ and $C$: $AB+\overline{A}C=1$ $AC+B=0$

asked Oct 6, 2014 in Digital Logic by Kathleen Veteran (59.9k points) | 648 views

+14 votes

3 answers

29

GATE1994-3.13
Let $p$ and $q$ be propositions. Using only the Truth Table, decide whether $p \Longleftrightarrow q$ does not imply $p \to \lnot q$ is True or False.

asked Oct 6, 2014 in Mathematical Logic by Kathleen Veteran (59.9k points) | 952 views

+10 votes

3 answers

30

GATE1994-3.12
Find the inverse of the matrix $\begin{bmatrix} 1 & 0 & 1 \\ -1 & 1 & 1 \\ 0 & 1 & 0 \end{bmatrix}$

asked Oct 6, 2014 in Linear Algebra by Kathleen Veteran (59.9k points) | 944 views

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