Recent questions tagged gate1995

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1

GATE1995-17b
Consider a CRT display that has a text mode display format of $80×25$ characters with a $9×12$ character cell. What is the size of the video buffer RAM for the display to be used in monochrome (1 bit per pixel) graphics mode

Consider a CRT display that has a text mode display format of $80×25$ characters with a $9×12$ character cell. What is the size of the video buffer RAM for the display to be used in monochrome (1 bit per pixel) graphics mode

asked Jul 14, 2019 in Computer Peripherals Arjun 240 views

7 votes

2 answers

2

GATE1995-25b
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$

Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$

asked Jun 6, 2019 in Set Theory & Algebra Arjun 835 views

3 votes

1 answer

3

GATE1995-15-b
What is the equivalent minimal Boolean expression (in sum of products form) for the Karnaugh map given below?

What is the equivalent minimal Boolean expression (in sum of products form) for the Karnaugh map given below?

asked Feb 12, 2018 in Digital Logic jothee 799 views

20 votes

3 answers

4

GATE1995-6
What is the number of binary trees with $3$ nodes which when traversed in post-order give the sequence $A, B, C ?$ Draw all these binary trees.

What is the number of binary trees with $3$ nodes which when traversed in post-order give the sequence $A, B, C ?$ Draw all these binary trees.

asked Oct 8, 2014 in DS Kathleen 1.6k views

16 votes

3 answers

5

GATE1995-27
Consider the relation scheme.$\begin{array}{ll} \text{AUTHOR} & \text{(ANAME, INSTITUTION, ACITY, AGE)} \\\hline \text{PUBLISHER} & \text{(PNAME, PCITY)} \\\hline \text{BOOK} & \text{(TITLE, ANAME, PNAME)} \\ \end{array}$ ... book for the publisher with PNAME='TECHNICAL PUBLISHERS'. Get the names of all authors who have published a book for any publisher located in Madras

Consider the relation scheme.$\begin{array}{ll} \text{AUTHOR} & \text{(ANAME, INSTITUTION, ACITY, AGE)} \\\hline \text{PUBLISHER} & \text{(PNAME, PCITY)} \\\hline \text{BOOK} & \text{(TITLE, ANAME, PNAME)} \\ \end{array}$Express the following ... a book for the publisher with PNAME='TECHNICAL PUBLISHERS'. Get the names of all authors who have published a book for any publisher located in Madras

asked Oct 8, 2014 in Databases Kathleen 1.5k views

23 votes

5 answers

6

GATE1995-26
Consider the relation scheme $R(A, B, C)$ with the following functional dependencies: $A, B → C,$ $C → A$ Show that the scheme R is in $3NF$ but not in $\text{BCNF}$. Determine the minimal keys of relation $R$.

Consider the relation scheme $R(A, B, C)$ with the following functional dependencies: $A, B → C,$ $C → A$ Show that the scheme R is in $3NF$ but not in $\text{BCNF}$. Determine the minimal keys of relation $R$.

asked Oct 8, 2014 in Databases Kathleen 2.8k views

11 votes

1 answer

7

GATE1995-25a
Find the minimum value of $3-4x+2x^2$.

Find the minimum value of $3-4x+2x^2$.

asked Oct 8, 2014 in Calculus Kathleen 1.1k views

16 votes

2 answers

8

GATE1995-24
Prove that in finite graph, the number of vertices of odd degree is always even.

Prove that in finite graph, the number of vertices of odd degree is always even.

asked Oct 8, 2014 in Graph Theory Kathleen 1.9k views

8 votes

3 answers

9

GATE1995-23
Prove using mathematical induction for $n \geq 5, 2^n > n^2$

Prove using mathematical induction for $n \geq 5, 2^n > n^2$

asked Oct 8, 2014 in Set Theory & Algebra Kathleen 543 views

10 votes

1 answer

10

GATE1995-22
How many minimum spanning trees does the following graph have? Draw them. (Weights are assigned to edges).

How many minimum spanning trees does the following graph have? Draw them. (Weights are assigned to edges).

asked Oct 8, 2014 in Algorithms Kathleen 1.8k views

19 votes

4 answers

11

GATE1995-21
Let $G_1$ and $G_2$ be subgroups of a group $G$. Show that $G_1 \cap G_2$ is also a subgroup of $G$. Is $G_1 \cup G_2$ always a subgroup of $G$?.

Let $G_1$ and $G_2$ be subgroups of a group $G$. Show that $G_1 \cap G_2$ is also a subgroup of $G$. Is $G_1 \cup G_2$ always a subgroup of $G$?.

asked Oct 8, 2014 in Set Theory & Algebra Kathleen 1.9k views

13 votes

1 answer

12

GATE1995-20
The head of a moving head disk with $100$ tracks numbered $0$ to $99$ is currently serving a request at track $55$. If the queue of requests kept in FIFO order is $10, 70, 75, 23, 65$ which of the two disk scheduling algorithms FCFS (First Come First Served) and SSTF (Shortest Seek Time First) will require less head movement? Find the head movement for each of the algorithms.

The head of a moving head disk with $100$ tracks numbered $0$ to $99$ is currently serving a request at track $55$. If the queue of requests kept in FIFO order is $10, 70, 75, 23, 65$ which of the two disk scheduling algorithms FCFS (First Come First Served) and SSTF (Shortest Seek Time First) will require less head movement? Find the head movement for each of the algorithms.

asked Oct 8, 2014 in Operating System Kathleen 10.2k views

20 votes

1 answer

13

GATE1995-19
Consider the following program segment for concurrent processing using semaphore operators $P$ and $V$ for synchronization. Draw the precedence graph for the statements $S_1$ to $S_9$. var a,b,c,d,e,f,g,h,i,j,k : semaphore; begin cobegin begin S1; V(a); V(b) end; begin P(a); S2; V(c); V(d) ... begin P(g); S6; V(i) end; begin P(h); P(i); S8; V(j) end; begin P(j); P(k); S9 end; coend end;

Consider the following program segment for concurrent processing using semaphore operators $P$ and $V$ for synchronization. Draw the precedence graph for the statements $S_1$ to $S_9$. var a,b,c,d,e,f,g,h,i,j,k : semaphore; begin cobegin begin S1; V(a); V(b) end; begin P(a); S2; V(c); V(d) end; ... end; begin P(g); S6; V(i) end; begin P(h); P(i); S8; V(j) end; begin P(j); P(k); S9 end; coend end;

asked Oct 8, 2014 in Operating System Kathleen 2.1k views

16 votes

2 answers

14

GATE1995-18
The following is an incomplete Pascal function to convert a given decimal integer (in the range $-8$ to $+7$) into a binary integer in $2's$ complement representation. Determine the expressions $A, B, C$ that complete program. function TWOSCOMP (N:integer):integer; var ... ;0 do begin REM:=N mod 2; BIANRY:=BINARY + B*EXPONENT; EXPONENT:=EXPONENT*10; N:=C end TWOSCOMP:=BINARY end end;

The following is an incomplete Pascal function to convert a given decimal integer (in the range $-8$ to $+7$) into a binary integer in $2's$ complement representation. Determine the expressions $A, B, C$ that complete program. function TWOSCOMP (N:integer):integer; var REM, ... <>0 do begin REM:=N mod 2; BIANRY:=BINARY + B*EXPONENT; EXPONENT:=EXPONENT*10; N:=C end TWOSCOMP:=BINARY end end;

asked Oct 8, 2014 in Digital Logic Kathleen 1.1k views

6 votes

1 answer

15

GATE1995-17a
An asynchronous serial communication controller that uses a start-stop scheme for controlling the serial I/O of a system is programmed for a string of length seven bits, one parity bit (odd parity) and one stop bit. The transmission rate is $1200$ bits/ ... What is the complete bit stream that is transmitted for the string 0110101'? How many such string can be transmitted per second?

An asynchronous serial communication controller that uses a start-stop scheme for controlling the serial I/O of a system is programmed for a string of length seven bits, one parity bit (odd parity) and one stop bit. The transmission rate is $1200$ bits/second. What is the complete bit stream that is transmitted for the string ‘0110101’? How many such string can be transmitted per second?

asked Oct 8, 2014 in Computer Networks Kathleen 930 views

0 votes

0 answers

16

GATE1995-16

asked Oct 8, 2014 in CO and Architecture Kathleen 276 views

10 votes

2 answers

17

GATE1995-15-a
Implement a circuit having the following output expression using an inverter and a nand gate $Z=\overline{A} + \overline{B} +C$

Implement a circuit having the following output expression using an inverter and a nand gate $Z=\overline{A} + \overline{B} +C$

asked Oct 8, 2014 in Digital Logic Kathleen 1.1k views

33 votes

2 answers

18

GATE1995-14
If the overhead for formatting a disk is $96$ bytes for a $4000$ byte sector, Compute the unformatted capacity of the disk for the following parameters: Number of surfaces: $8$ Outer diameter of the disk: $12$ ... $360$ rpm, determine the effective data transfer rate which is defined as the number of bytes transferred per second between disk and memory.

If the overhead for formatting a disk is $96$ bytes for a $4000$ byte sector, Compute the unformatted capacity of the disk for the following parameters: Number of surfaces: $8$ Outer diameter of the disk: $12$ cm Inner diameter of the disk: $4$ cm ... at $360$ rpm, determine the effective data transfer rate which is defined as the number of bytes transferred per second between disk and memory.

asked Oct 8, 2014 in Operating System Kathleen 6.1k views

12 votes

3 answers

19

GATE1995-13
Obtain the principal (canonical) conjunctive normal form of the propositional formula $(p \wedge q) \vee (\neg q \wedge r)$ where $\wedge$ is logical and, $\vee$ is inclusive or and $\neg$ is negation.

Obtain the principal (canonical) conjunctive normal form of the propositional formula $(p \wedge q) \vee (\neg q \wedge r)$ where $\wedge$ is logical and, $\vee$ is inclusive or and $\neg$ is negation.

asked Oct 8, 2014 in Mathematical Logic Kathleen 1.5k views

13 votes

2 answers

20

GATE1995-12
Consider the following sequence of numbers:$92, 37, 52, 12, 11, 25$ Use Bubble sort to arrange the sequence in ascending order. Give the sequence at the end of each of the first five passes.

Consider the following sequence of numbers:$92, 37, 52, 12, 11, 25$ Use Bubble sort to arrange the sequence in ascending order. Give the sequence at the end of each of the first five passes.

asked Oct 8, 2014 in Algorithms Kathleen 1.1k views

14 votes

2 answers

21

GATE1995-11
Let $L$ be a language over $\Sigma$ i.e., $L\subseteq \Sigma^*$. Suppose $L$ satisfies the two conditions given below. $L$ is in NP and For every $n$, there is exactly one string of length $n$ that belongs to $L$. Let $L^c$ be the complement of $L$ over $\Sigma^*$. Show that $L^c$ is also in NP.

Let $L$ be a language over $\Sigma$ i.e., $L\subseteq \Sigma^*$. Suppose $L$ satisfies the two conditions given below. $L$ is in NP and For every $n$, there is exactly one string of length $n$ that belongs to $L$. Let $L^c$ be the complement of $L$ over $\Sigma^*$. Show that $L^c$ is also in NP.

asked Oct 8, 2014 in Theory of Computation Kathleen 1.3k views

0 votes

0 answers

22

GATE1995-10

asked Oct 8, 2014 in Others Kathleen 176 views

21 votes

3 answers

23

GATE1995-9
Translate the arithmetic expression $a^*-(b+c)$ into syntax tree. A grammar is said to have cycles if it is the case that $A \Rightarrow^+ A$ Show that no grammar that has cycles can be LL(1).

Translate the arithmetic expression $a^*-(b+c)$ into syntax tree. A grammar is said to have cycles if it is the case that $A \Rightarrow^+ A$ Show that no grammar that has cycles can be LL(1).

asked Oct 8, 2014 in Compiler Design Kathleen 2.5k views

4 votes

1 answer

24

GATE1995-8
Construct the LL(1) table for the following grammar. $Expr \rightarrow \_Expr$ $Expr \rightarrow (Expr)$ $Expr \rightarrow Var\; ExprTail$ $ExprTail \rightarrow \_Expr$ $Expr \rightarrow \lambda$ $Var \rightarrow Id\; VarTail$ $VarTail \rightarrow (Expr)$ $VarTail \rightarrow \lambda$ $Goal \rightarrow Expr$

Construct the LL(1) table for the following grammar. $Expr \rightarrow \_Expr$ $Expr \rightarrow (Expr)$ $Expr \rightarrow Var\; ExprTail$ $ExprTail \rightarrow \_Expr$ $Expr \rightarrow \lambda$ $Var \rightarrow Id\; VarTail$ $VarTail \rightarrow (Expr)$ $VarTail \rightarrow \lambda$ $Goal \rightarrow Expr$

asked Oct 8, 2014 in Compiler Design Kathleen 798 views

4 votes

4 answers

25

GATE1995-7
Determine the number of divisors of $600.$ Compute without using power series expansion $\lim_{x \to 0} \frac{\sin x}{x}$

Determine the number of divisors of $600.$ Compute without using power series expansion $\lim_{x \to 0} \frac{\sin x}{x}$

asked Oct 8, 2014 in Set Theory & Algebra Kathleen 796 views

20 votes

3 answers

26

GATE1995-5
A computer installation has 1000k of main memory. The jobs arrive and finish in the following sequences. Job 1 requiring 200k arrives Job 2 requiring 350k arrives Job 3 requiring 300k arrives Job 1 finishes Job 4 requiring 120k arrives Job 5 ... 80k arrives Draw the memory allocation table using Best Fit and First Fit algorithms Which algorithm performs better for this sequence?

A computer installation has 1000k of main memory. The jobs arrive and finish in the following sequences. Job 1 requiring 200k arrives Job 2 requiring 350k arrives Job 3 requiring 300k arrives Job 1 finishes Job 4 requiring 120k arrives Job 5 requiring ... 80k arrives Draw the memory allocation table using Best Fit and First Fit algorithms Which algorithm performs better for this sequence?

asked Oct 8, 2014 in Operating System Kathleen 3.2k views

11 votes

3 answers

27

GATE1995-4
Consider the following Pascal function where $A$ and $B$ are non-zero positive integers. What is the value of $GET(3, 2)$? function GET(A,B:integer): integer; begin if B=0 then GET:= 1 else if A < B then GET:= 0 else GET:= GET(A-1, B) + GET(A-1, B-1) end; The Pascal procedure given for ... to N - 1 do for J:=1 to N do begin TMP:= A[I, J]; A[I, J]:= A[J, I]; A[J, I]:= TMP end end;

Consider the following Pascal function where $A$ and $B$ are non-zero positive integers. What is the value of $GET(3, 2)$? function GET(A,B:integer): integer; begin if B=0 then GET:= 1 else if A < B then GET:= 0 else GET:= GET(A-1, B) + GET(A-1, B-1) end; The Pascal procedure given for computing the ... 1 to N - 1 do for J:=1 to N do begin TMP:= A[I, J]; A[I, J]:= A[J, I]; A[J, I]:= TMP end end;

asked Oct 8, 2014 in Algorithms Kathleen 1.2k views

17 votes

3 answers

28

GATE1995-3
Consider the following high level programming segment. Give the contents of the memory locations for variables $W, X, Y$ and $Z$ after the execution of the program segment. The values of the variables $A$ and $B$ are $5CH$ and $92H$, respectively. Also indicate error conditions if any. var A ... , (each integer is represented by two bytes) begin X :=A+B Y :=abs(A-B); W :=A-B Z :=A*B end;

Consider the following high level programming segment. Give the contents of the memory locations for variables $W, X, Y$ and $Z$ after the execution of the program segment. The values of the variables $A$ and $B$ are $5CH$ and $92H$, respectively. Also indicate error conditions if any. var A, B ... integer, (each integer is represented by two bytes) begin X :=A+B Y :=abs(A-B); W :=A-B Z :=A*B end;

asked Oct 8, 2014 in Programming Kathleen 1.7k views

18 votes

1 answer

29

GATE1995-2.25
A computer system has a $4 \ K$ word cache organized in block-set-associative manner with $4$ blocks per set, $64$ words per block. The number of bits in the SET and WORD fields of the main memory address format is: $15, 40$ $6, 4$ $7, 2$ $4, 6$

A computer system has a $4 \ K$ word cache organized in block-set-associative manner with $4$ blocks per set, $64$ words per block. The number of bits in the SET and WORD fields of the main memory address format is: $15, 40$ $6, 4$ $7, 2$ $4, 6$

asked Oct 8, 2014 in CO and Architecture Kathleen 4.2k views

19 votes

5 answers

30

GATE1995-2.24
Let $\Sigma=\left\{0,1\right\}, L = \Sigma^*$ and $R=\left\{0^n1^n \mid n > 0\right\} $ then the languages $L \cup R$ and $R$ are respectively regular, regular not regular, regular regular, not regular not regular, not regular

Let $\Sigma=\left\{0,1\right\}, L = \Sigma^*$ and $R=\left\{0^n1^n \mid n > 0\right\} $ then the languages $L \cup R$ and $R$ are respectively regular, regular not regular, regular regular, not regular not regular, not regular

asked Oct 8, 2014 in Theory of Computation Kathleen 3.2k views

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