Recent questions tagged gate1996

+1 vote

1 answer

1

GATE1996-24-b
Consider the synchronous sequential circuit in the below figure Given that the initial state of the circuit is S$_4$, identify the set of states, which are not reachable.

asked Feb 10 in Digital Logic by jothee Veteran (112k points) | 318 views

+19 votes

2 answers

2

GATE1996-27
A library relational database system uses the following schema USERS (User#, User Name, Home Town) BOOKS (Book#, Book Title, Author Name) ISSUED (Book#, User#, Date) Explain in one English sentence, what each of the following relational algebra queries is designed to ...

asked Oct 10, 2014 in Databases by Kathleen Veteran (59.7k points) | 1.1k views

+15 votes

2 answers

3

GATE1996-26
A computer system has a three level memory hierarchy, with access time and hit ratios as shown below: Level $1$ (Cache memory) Access time $= 50$ $nsec/byte$ Size Hit Ratio $8 \ M$ byte $0.80$ $16 \ M$ byte $0.90$ $64 \ M$ byte $0.95$ ... average access time of less than $100 nsec$? What is the average access time achieved using the chosen sizes of level $1$ and level $2$ memories?

asked Oct 10, 2014 in CO & Architecture by Kathleen Veteran (59.7k points) | 2.6k views

+17 votes

4 answers

4

GATE1996-25
A hard disk is connected to a $50$ MHz processor through a DMA controller. Assume that the initial set-up of a DMA transfer takes $1000$ clock cycles for the processor, and assume that the handling of the interrupt at DMA completion requires $500$ clock cycles for the processor. ... Kbytes 0.98 16 Kbytes 0.90 16 Kbytes 0.99 64 Kbytes 0.95 64 Kbytes 0.995 Size Hit Ratio 250 M bytes 1.0

asked Oct 10, 2014 in CO & Architecture by Kathleen Veteran (59.7k points) | 2.6k views

+10 votes

2 answers

5

GATE1996-24-a
Consider the synchronous sequential circuit in the below figure Draw a state diagram, which is implemented by the circuit. Use the following names for the states corresponding to the values of flip-flops as given below. Q1 Q2 Q3 State 0 0 0 S$_0$ 0 0 1 S$_1$ - - - - - - - - - - - - 1 1 1 S$_7$

asked Oct 10, 2014 in Digital Logic by Kathleen Veteran (59.7k points) | 1.3k views

+19 votes

2 answers

6

GATE1996-23
A file system with a one-level directory structure is implemented on a disk with disk block size of $4K$ bytes. The disk is used as follows: Disk-block $0$ File Allocation Table, consisting of one 8-bit entry per data block, representing the data block address of ... $3$ Data-block $2$; etc. What is the maximum possible number of files? What is the maximum possible file size in blocks

asked Oct 10, 2014 in Operating System by Kathleen Veteran (59.7k points) | 2.4k views

+17 votes

4 answers

7

GATE1996-22
A computer system uses the Banker's Algorithm to deal with deadlocks. Its current state is shown in the table below, where $P0$, $P1$, $P2$ are processes, and $R0$, $R1$, $R2$ are resources types. Maximum Need Current Allocation Available R0 R1 R2 R0 R1 R2 R0 ... that the system can be in this state What will the system do on a request by process $P0$ for one unit of resource type $R1$?

asked Oct 10, 2014 in Operating System by Kathleen Veteran (59.7k points) | 1.5k views

+24 votes

1 answer

8

GATE1996-21
The concurrent programming constructs fork and join are as below: Fork <label> which creates a new process executing from the specified label Join <variable> which decrements the specified synchronization variable (by $1$) and terminates the process if the new value is not $0$. Show the ... join $N$ $S3$ $L2$ : join $M$ $S5$ $L3:S2$ Goto $L1$ $L4:S4$ Goto $L2$ Next:

asked Oct 10, 2014 in Operating System by Kathleen Veteran (59.7k points) | 1.7k views

+13 votes

2 answers

9

GATE1996-20
Consider the syntax-directed translation schema (SDTS) shown below: $E\rightarrow E + E$ {print “+”} $E\rightarrow E * E$ {print “.”} $E\rightarrow id$ {print id.name} $E\rightarrow (E)$ An LR-parser executes ... the corresponding production. Draw the parse tree and write the translation for the sentence. $(a+b)*(c+d)$, using SDTS given above.

asked Oct 10, 2014 in Compiler Design by Kathleen Veteran (59.7k points) | 686 views

+2 votes

1 answer

10

GATE1996-19
Consider the following program in pseudo-Pascal syntax. What is printed by the program if parameter $a$ in procedure test1 is passed as call-by-reference parameter call-by-value-result parameter program Example (input, output) var b: integer; procedure test2: begin b:=10; end procedure test1 (a: ... ('point 2: ', a, b); end begin (*Example*) b:=3; test1(b); writeln('point3: ', b); end

asked Oct 10, 2014 in Programming by Kathleen Veteran (59.7k points) | 347 views

+14 votes

2 answers

11

GATE1996-18
Consider the following program that attempts to locate an element $x$ in an array $a[ ]$ using binary search. Assume $N > 1$. The program is erroneous. Under what conditions does the program fail? var i,j,k: integer; x: integer; a: array; [1..N] of integer; begin i:= 1; j:= ... (i >= j); if (a[k] = x) then writeln ('x is in the array') else writeln ('x is not in the array') end;

asked Oct 10, 2014 in Algorithms by Kathleen Veteran (59.7k points) | 732 views

+13 votes

5 answers

12

GATE1996-17
Let $G$ be the directed, weighted graph shown in below figure We are interested in the shortest paths from $A$. Output the sequence of vertices identified by the Dijkstra’s algorithm for single source shortest path when the algorithm is started at node $A$ Write down sequence of vertices in the shortest path from $A$ to $E$ What is the cost of the shortest path from $A$ to $E$?

asked Oct 10, 2014 in Algorithms by Kathleen Veteran (59.7k points) | 1.6k views

+10 votes

1 answer

13

GATE1996-16
A complete, undirected, weighted graph $G$ is given on the vertex $\{0, 1,\dots, n -1\}$ for any fixed ‘n’. Draw the minimum spanning tree of $G$ if the weight of the edge $(u, v)$ is $\mid u-v\mid$ the weight of the edge $(u, v)$ is $u + v$

asked Oct 10, 2014 in Algorithms by Kathleen Veteran (59.7k points) | 792 views

+13 votes

3 answers

14

GATE1996-15
Insert the characters of the string $K \ R \ P \ C \ S \ N \ Y \ T \ J \ M$ into a hash table of size $10$. Use the hash function $h(x)=( ord (x) – ord ("a") + 1) \mod 10$ and linear probing to resolve collisions. Which insertions cause collisions? Display the final hash table.

asked Oct 10, 2014 in DS by Kathleen Veteran (59.7k points) | 1.6k views

+16 votes

2 answers

15

GATE1996-14
A two dimensional array $A[1..n][1..n]$ of integers is partially sorted if $\forall i, j\in [1..n-1], A[i][j] < A[i][j+1] \text{ and } A[i][j] < A[i+1][j]$ Fill in the blanks: The smallest item in the array is at $A[i][j]$ where $i=__$ and $j=__$. The smallest ... do if A[i+1][j] < A[i][j] ___ then begin A[i][j]:=A[i+1][j]; i:=i+1; end else begin _____ end A[i][j]:= ____ end

asked Oct 10, 2014 in Algorithms by Kathleen Veteran (59.7k points) | 1.1k views

+11 votes

2 answers

16

GATE1996-13
Let $Q=\left( \left\{q_1,q_2 \right\}, \left\{a,b\right \}, \left\{a,b,\bot \right\}, \delta, \bot, \phi \right)$ be a pushdown automaton accepting by empty stack for the language which is the set of all nonempty even palindromes over the set $\left\{a,b\right\}$. ... $\delta(q_2,b,b) = \left\{(q_2, \epsilon)\right\}$ $\delta(q_2,\epsilon,\bot) = \left\{(q_2, \epsilon)\right\}$

asked Oct 10, 2014 in Theory of Computation by Kathleen Veteran (59.7k points) | 625 views

+17 votes

1 answer

17

GATE1996-12
Given below are the transition diagrams for two finite state machines $M_1$ and $M_2$ recognizing languages $L_1$ and $L_2$ respectively. Display the transition diagram for a machine that recognizes $L_1.L_2$, obtained from transition diagrams for $M_1$ and $M_2$ ... $\varepsilon$ transitions and no new states. (Final states are enclosed in double circles).

asked Oct 10, 2014 in Theory of Computation by Kathleen Veteran (59.7k points) | 1.1k views

+19 votes

5 answers

18

GATE1996-11
Let $G$ be a context-free grammar where $G=(\{S, A, B, C\}, \{a, b, d\}, P, S)$ with the productions in $P$ given below. $S \rightarrow ABAC$ $A \rightarrow aA \mid \varepsilon$ $B \rightarrow bB \mid \varepsilon$ $C \rightarrow d$ ... no $\varepsilon$ productions and no unit productions. (A unit production is of the form $x \rightarrow y$, and $x$ and $y$ are non terminals).

asked Oct 10, 2014 in Compiler Design by Kathleen Veteran (59.7k points) | 1k views

+8 votes

3 answers

19

GATE1996-10
Let $A = \begin{bmatrix} a_{11} && a_{12} \\ a_{21} && a_{22} \end{bmatrix} \text { and } B = \begin{bmatrix} b_{11} && b_{12} \\ b_{21} && b_{22} \end{bmatrix}$ be two matrices such that $AB=I$. Let $C = A \begin{bmatrix} 1 && 0 \\ 1 && 1 \end{bmatrix}$ and $CD =I$. Express the elements of $D$ in terms of the elements of $B$.

asked Oct 10, 2014 in Linear Algebra by Kathleen Veteran (59.7k points) | 515 views

+1 vote

1 answer

20

GATE1996-9
The Fibonacci sequence $\{f_1, f_2, f_3 \dots f_n\}$ is defined by the following recurrence: $f_{n+2} = f_{n+1} + f_n, n \geq 1; f_2 =1:f_1=1$ Prove by induction that every third element of the sequence is even.

asked Oct 10, 2014 in Set Theory & Algebra by Kathleen Veteran (59.7k points) | 232 views

+17 votes

3 answers

21

GATE1996-8
Let $F$ be the collection of all functions $f: \{1, 2, 3\} \to \{1, 2, 3\}$. If $f$ and $g \in F$, define an equivalence relation $\sim$ by $f\sim g$ if and only if $f(3) = g(3)$. Find the number of equivalence classes defined by $\sim$. Find the number of elements in each equivalence class.

asked Oct 10, 2014 in Set Theory & Algebra by Kathleen Veteran (59.7k points) | 1.2k views

+16 votes

1 answer

22

GATE1996-7
A demand paged virtual memory system uses $16$ bit virtual address, page size of $256$ bytes, and has $1$ Kbyte of main memory.$LRU$ page replacement is implemented using the list, whose current status (page number is decimal) is For each hexadecimal address in the ... $010D$, $10FF$, $11B0$ indicate the new status of the list page faults, if any, and page replacements, if any.

asked Oct 10, 2014 in Operating System by Kathleen Veteran (59.7k points) | 1.8k views

0 votes

1 answer

23

GATE1996-6
An 8052 based system has an output port with address 00H. Consider the following assembly language program. ORG 0100H MVI A, 00H LXI H, 0105H OUT 00H INR A PCHL HLT What does the program do with respect to the output port $00H$ ? Show the waveforms at the three least significant bits of the port $00H$.

asked Oct 9, 2014 in CO & Architecture by Kathleen Veteran (59.7k points) | 254 views

+12 votes

2 answers

24

GATE1996-5
A logic network has two data inputs $A$ and $B$, and two control inputs $C_0$ and $C_1$. It implements the function $F$ according to the following table. $C_1$ $C_2$ $F$ 0 0 $\overline{A+B}$ 0 1 $A + B$ 1 0 $A \oplus B$ Implement the circuit using one 4 to 1 Multiplexer, one 2-input Exclusive OR gate, one 2-input AND gate, one 2-input OR gate and one Inverter.

asked Oct 9, 2014 in Digital Logic by Kathleen Veteran (59.7k points) | 788 views

+24 votes

3 answers

25

GATE1996-4
A binary search tree is used to locate the number $43$. Which of the following probe sequences are possible and which are not? Explain. (a) $61$ $52$ $14$ $17$ $40$ $43$ (b) $2$ $3$ $50$ $40$ $60$ $43$ (c) $10$ $65$ $31$ $48$ $37$ $43$ (d) $81$ $61$ $52$ $14$ $41$ $43$ (e) $17$ $77$ $27$ $66$ $18$ $43$

asked Oct 9, 2014 in DS by Kathleen Veteran (59.7k points) | 4k views

+9 votes

2 answers

26

GATE1996-3
Let $f$ be a function defined by $f(x) = \begin{cases} x^2 &\text{ for }x \leq 1\\ ax^2+bx+c &\text{ for } 1 < x \leq 2 \\ x+d &\text{ for } x>2 \end{cases}$ Find the values for the constants $a$, $b$, $c$ and $d$ so that $f$ is continuous and differentiable everywhere on the real line.

asked Oct 9, 2014 in Calculus by Kathleen Veteran (59.7k points) | 954 views

+18 votes

3 answers

27

GATE1996-2.25
A micro program control unit is required to generate a total of $25$ control signals. Assume that during any micro instruction, at most two control signals are active. Minimum number of bits required in the control word to generate the required control signals will be: $2$ $2.5$ $10$ $12$

asked Oct 9, 2014 in CO & Architecture by Kathleen Veteran (59.7k points) | 5.1k views

+9 votes

4 answers

28

GATE1996-2.24
What is the equivalent Boolean expression in product-of-sums form for the Karnaugh map given in Fig $B\overline{D} + \overline{B}D$ $(B + \overline{C} +D) (\overline{B} + C + \overline{D})$ $(B + {D})(\overline{B} +\overline{ D})$ $(B + \overline{D})(\overline{B} + {D})$

asked Oct 9, 2014 in Digital Logic by Kathleen Veteran (59.7k points) | 1.3k views

+24 votes

2 answers

29

GATE1996-2.23
Consider the following state table for a sequential machine. The number of states in the minimized machine will be Input $0$ $1$ Present State A $D, 0$ $B, 1$ B $A, 0$ $C, 1$ C $A, 0$ $B, 1$ D $A, 1$ $C, 1$ Next state, Output $4$ $3$ $2$ $1$

asked Oct 9, 2014 in Theory of Computation by Kathleen Veteran (59.7k points) | 2.3k views

+16 votes

1 answer

30

GATE1996-2.22
Consider the circuit in figure. $f$ implements $\overline{A} \overline{B}C + \overline{A}B \overline{C} + ABC$ $A + B + C$ $A \oplus B \oplus C$ $AB + BC + CA$

asked Oct 9, 2014 in Digital Logic by Kathleen Veteran (59.7k points) | 1.9k views

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