GATE CSE Digital Logic PYQs & Answers — Page 4

Questions 31–40 of 74. Imported answers require independent review unless marked reviewed.

Consider a sequential digital circuit consisting of T flip-flops and D flip-flops as shown in the figure. CLKIN is the clock input to the circuit. At the beginning, Q1, Q2 and Q3 have values 0, 1 and 1, respectively.

Diagram for Computer Science and Information Technology question 43

Which one of the given values of (Q1, Q2, Q3) can NEVER be obtained with this digital circuit?

Your answerChoose one option.

(0, 0, 1)

(1, 0, 0)

(1, 0, 1)

(1, 1, 1)

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A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input multiplexer (M3) as shown in the figure. X0–X7 are the inputs of the multiplexers M1 and M2 and could be connected to either 0 or 1. The select lines of the multiplexers are connected to Boolean variables A, B and C as shown.

Diagram for Computer Science and Information Technology question 44

Which one of the following sets of values of (X0, X1, X2, X3, X4, X5, X6, X7) will realise the Boolean function

Your answerChoose one option.

(1, 1, 0, 0, 1, 1, 1, 0)

(1, 1, 0, 0, 1, 1, 0, 1)

(1, 1, 0, 1, 1, 1, 0, 0)

(0, 0, 1, 1, 0, 1, 1, 1)

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Consider the IEEE-754 single precision float point numbers P=0xC1800000 and Q=0x3F5C2EF4. Which one of the following corresponds to the product of these numbers (i.e., P × Q), represented in the IEEE-754 single precision format?

Your answerChoose one option.

0x404C2EF4

0x405C2EF4

0xC15C2EF4

0xC14C2EF4

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Let R1 and R2 be two 4-bit registers that store numbers in 2’s complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?

Your answerChoose one option.

R1 = 101 and R2 = 1110

R1 = 1100 and R2 = 1010

R1 = 0011 and R2 = 0100

R1 = 1001 and R2 = 1111

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Consider a digital display system (DDS) shown in the figure that displays the contents of register X. A 16-bit code word is used to load a word in X, either from S or from R. S is a 1024-word memory segment and R is a 32-word register file. Based on the value of mode bit M, T selects an input word to load in X. P and Q interface with the corresponding bits in the code word to choose the addressed word. Which one of the following represents the functionality of P, Q, and T?

Diagram for Computer Science and Information Technology question 40

Your answerChoose one option.

P is 10:1 multiplexer; Q is 5:1 multiplexer; T is 2:1 multiplexer

P is 10:2^10 decoder; Q is 5:2^5 decoder; T is 2:1 encoder

P is 10:2^10 decoder; Q is 5:2^5 decoder; T is 2:1 multiplexer

P is 1:10 de-multiplexer; Q is 1:5 de-multiplexer; T is 2:1 multiplexer

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Consider three floating point numbers A, B and C stored in registers R_A, R_B and R_C, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.

R_A = 0xC140000 R_B = 0x4210000 R_C = 0x4140000

Which one of the following is FALSE?

Your answerChoose one option.

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What is printed by the following ANSI C program?

#include<stdio.h>

int main(int argc, char *argv[]){

char a = 'P';

char b = 'x';

char c = (a & b) + '*';

char d = (a | b) - '-';

char e = (a ^ b) + '+';

printf("%c %c %c\n", c, d, e);

return 0;

}

ASCII encoding for relevant characters is given below:

Character	A	B	C	...	Z	a	b	c	...	z	*	+	−
ASCII code	65	66	67	...	90	97	98	99	...	122	42	43	45

Your answerChoose one option.

z K S

122 75 83

− +

P x +

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The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:

Diagram for Computer Science and Information Technology question 4

Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?

Your answerChoose one option.

exponent = 0000000 and mantissa = 00000000000000000000000

exponent = 0000000 and mantissa = 00000000000000000000001

exponent = 0000001 and mantissa = 00000000000000000000000

exponent = 0000001 and mantissa = 00000000000000000000001

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Which one of the following circuits implements the Boolean function given below?

, where

is the

minterm.

Your answerChoose one option.

Diagram for Computer Science and Information Technology question 5

Diagram for Computer Science and Information Technology question 5 (figure 2)

Diagram for Computer Science and Information Technology question 5 (figure 3)

Diagram for Computer Science and Information Technology question 5 (figure 4)

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Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

Your answerChoose one option.

528

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GATE CSE Digital Logic PYQs

Question 43

Question 44

Question 45

Question 18

Question 40

Question 41

Question 44

Question 4

Question 5

Question 6