GATE 2004 ECE Video Solution on Digital Circuits (Digital Electronics)

1. A Master – Slave flip flop has the characteristic that
a. Change in the input immediately reflected in the output.
b. Change in the output occurs when the state of the master is affected
c. Change in the output occurs when the state of the slave is affected
d. Both the master and the slave states are affected at the same time.
Answer:C
Solution : https://www.youtube.com/watch?v=oViyDQttV2E



2. The range of signed decimal numbers that can be represented by 6 bit 1’s complement form is
a. -31 to +31
b. -63 to +64
c. -64 to +63
d. -32 to +31
Answer:A
Solution : https://www.youtube.com/watch?v=0mvda9-_j6Y



3. A digital system is required to amplify a binary encoded audio signal. The user should be able to control the gain of the amplifier from a minimum to a maximum in 100 increments. The minimum number of bits required to encode in straight binary is
a. 8
b. 6
c. 5
d. 7
Answer:D
Solution : https://www.youtube.com/watch?v=uugIEsYHScg



4. Choose the correct one from among the alternatives A,B,C,D after matching an item from Group 1 with the most appropriate item in Group 2.
Group 1 Group 2
P: Shift Register 1: Frequency division
Q: Counter 2: Addressing in memory chips
R: Decoder 3: Serial to Parallel data conversion

a. P – 3, Q – 2, R – 1
b. P – 3, Q – 1, R – 2
c. P – 2, Q – 1, R – 3
d. P – 1, Q – 2, R – 2
Answer:B
Solution : https://www.youtube.com/watch?v=2d-9lEnp3x8



5. Figure given below shows the internal schematic of a TTL AND-OR-Invert (AOI) gate. For the inputs shown in the given figure, the output Y is

Answer:A
Solution : https://www.youtube.com/watch?v=Qh1KCgKrp0Q



6. The minimum number of 2 to 1 multiplexers required to realize a 4 to 1 multiplexer is
a. 1
b. 2
c. 3
d. 4
Answer:C
Solution : https://www.youtube.com/watch?v=vq8UAnVdqzA



7. The Boolean expression AC + BC’ is equivalent to

Answer:D
Solution : https://www.youtube.com/watch?v=ln-baJRcMlY



8. 11001, 1001 and 111001 correspond to the 2’s complement representation of which one of the following sets of number?
a. 25, 9 and 57 respectively
b. -6, -6 and -6 respectively
c. -7, -7 and -7 respectively
d. -25, -9 and -57 respectively
Answer:C
Solution : https://www.youtube.com/watch?v=prvoIVvnID4



9. The 8255 programmable peripheral interface is used as described below.
(i) An A/D converter is interfaced to a microprocessor through an 8255. The conversion is initiated by a signal from the 8255 on port C. A signal on port C. A signal on port C causes data to be strobed into port A.
(ii) Two computers exchange data using a pair of 8255s. Port A works as a bidirectional data port supported by appropriate handshaking signals.
The appropriate modes of operation of the 8255 for (i) and (ii) would be
a. Mode 0 for (i) and Mode 1 for (ii)
b. Mode 1 for (i) and Mode 0 for (ii)
c. Mode 2 for (i) and Mode 0 for (ii)
d. Mode 2 for (i) and Mode 1 for (ii)
Answer:
Solution :


10. The number of memory cycles required to execute the following 8085 instructions
(i) LDA 3000H
(ii) LXI D, F0F1H
Would be
a. 2 for (i) and 2 for (ii)
b. 4 for (i) and 3 for (ii)
c. 3 for (i) and 3 for (ii)
d. 3 for (i) and 4 for (ii)
Answer:
Solution :


11. In the modulo – 6 ripple counter shown in the given figure, the output of the 2 input gate is used to clear the JK flip flops.

The 2 input gate is
a. NAND gate
b. NOR gate
c. OR gate
d. AND gate
Answer:C
Solution : https://www.youtube.com/watch?v=2b1wBH220Oo



12. Consider the sequence of 8085 instructions given below.
LXI H, 9258H
MOV A, M
CMA
MOV M, A
Which one of the following is performed by this sequence of instructions?
a. Contents of location 9258 are moved to the accumulator
b. Contents of location 9258 are compared with the contents of the accumulator
c. Contents of location 9258 are complemented and stored in location 9258
d. Contents of location 5892 are complemented and stored in location 5892.
Answer:C
Solution : https://www.youtube.com/watch?v=Us-RGGYexA8



13. A Boolean function f of two variables x and y is defined as follows:
f(0,0) = f(0,1) = f(1,0) = 1; and f(1,0) = 0
Assuming complements of x and y are not available, a minimum cost solution for realizing f using only 2 input NOR gates and 2 input OR gates (each having unit cost) would have a total cost of
a. 1 unit
b. 4 units
c. 3 unit
d. 2 units
Answer:D
Solution : https://www.youtube.com/watch?v=iE50qMj8NR8


14. It is desired to multiply the numbers 0AH by 0BH and store the result in the accumulator. The numbers are available in registers B and C respectively. A part of the 8085 program for this purpose is given below:
MVI A, 00H
LOOP: ..............
..............
..............
HLT
END
The sequence of instructions to complete the program would be
a. JNZ LOOP, ADD B, DCR C
b. ADDB, JNZ LOOP, DCR C
c. DCR C, JNZ LOOP, ADD B
d. ADD B, DCR C, JNZ LOOP
Answer:D
Solution : https://www.youtube.com/watch?v=gdjv_EzqPB0

GATE 2005 ECE Video Solution on Digital Circuits (Digital Electronics)

1. Decimal 43 in Hexadecimal and BCD number system is respectively
a. B2, 0100 0011
b. 2B, 0100 0011
c. 2B, 0011 0100
d. B2, 0100 0100
Answer:B
Solution : https://www.youtube.com/watch?v=5-6JKj9bNzI


2. The Boolean function f implemented in the figure using two input multiplexers is

Answer:A
Solution : https://www.youtube.com/watch?v=gWh-fumZFRI


3. The Boolean expression for the truth table shown is

Answer:A
Solution : https://www.youtube.com/watch?v=xCS-TTQvhp8


4. The present output Qn of an edge triggered JK flip-flop is logic ‘0’. If j = 1, then Qn+1 is
a. Cannot be determined
b. Will be logic ‘0’
c. Will be logic ‘1’
d. Will race around
Answer:C
Solution : https://www.youtube.com/watch?v=3Txg02Wb8N0


5. The given figure shows a ripple counter using positive edge triggered flip-flops. If the present state of the counter is Q2Q1Q0 = 011, then its next state Q2Q1Q0 will be

a. 010
b. 100
c. 111
d. 101
Answer:B
Solution : https://www.youtube.com/watch?v=iZWdwF2lfmw


6. What memory address range is NOT represented by chip #1 and chip #2 in the figure. A0 to A15 in this figure are the address lines and CS means chip select.

a. 0100 – 02FF
b. 1500 – 16FF
c. F900 – FAFF
d. F800 – F9FF
Answer:D
Solution : https://www.youtube.com/watch?v=bv_jlwR4ivs


Statement for linked Answer Questions 7 & 8 :
Consider an 8085 microprocessor system.
7. The following program starts at location 0100H.
LXI SP, 00FF
LXI H, 0701
MVI A, 20H
SUB M
THE Contents of accumulator when the program counter reaches 0109H is
a. 20H
b. 02H
c. 00H
d. FFH
Answer:

8. If in addition, following code exists from 0109H onwards.
ORI 40H
ADD M
What will be the result in the accumulator after executing the last instruction?
a. 40H
b. 20H
c. 60H
d. 42H
Answer:

Solution (7 & 8):

GATE 2006 ECE Video Solution on Digital Circuits (Digital Electronics)

1. The number of product terms in the minimized sum of product expression obtained through the following K-map (where “d” denotes don’t care states)
1     0   0   1
0 d 0 0
0 0 d 1
1 0 0 1
a. 2
b. 3
c. 4
d. 5
Answer:A
Solution : https://www.youtube.com/watch?v=0DZuZvT9Ays


2. A new Binary Coded Pentary (BCP) number system is proposed in which every digit of a base-5 number is represented by its corresponding 3-bit binary code. For example, the base-5 number 24 will be represented by its BCP code 010100. In this number system, the BCP code 100010011001 corresponds to the following number in base-5 system
a. 423
b. 1324
c. 2201
d. 4231
Answer:D
Solution : https://www.youtube.com/watch?v=9zxiQtnzEH0


3. An I/O peripheral device shown n figure (b) below is to be interfaced to an 8085 microprocessor. To select the I/O device in the address range D4H – D7H, its chip-select (CS’) should be connected to the output of the decoder shown in the figure (a) below :

a. Output 7
b. Output 5
c. Output 2
d. Output 0
Answer:B
Solution : https://www.youtube.com/watch?v=pCzrjQ2zx44


4. For the circuit shown, two 4-bit parallel in serial out shift registers loaded with the data shown are used to fed the data to a full adder. Initially, all the flip-flops are in clear state. After applying two clock pulses, the outputs sum and carry of the full adder should be …….respectively.

a. 0, 0
b. 0, 1
c. 1, 0
d. 1, 1
Answer:D
Solution : https://www.youtube.com/watch?v=8xaQJ8NM_p4


5. A 4 – bit D/A converter is connected to a free running 3 – bit UP counter, as shown in the following figure. Which of the following waveforms will be observed at Vo?

Answer:B
Solution : https://www.youtube.com/watch?v=U_Vz7cWzaog


6. Two D flip-flops are to be connected as a synchronous counter as shown below, that goes through the following Q1Q0 sequence 00 -> 01 -> 11 ->10 -> 00 ->………..
The inputs D0 and D1 respectively should be connected as

Answer:A
Solution : https://www.youtube.com/watch?v=u3fgelNywPs


7. Following is the segment of a 8085 assembly language program
LXI SP, EFFFH
CALL 3000H
:
:
3000H : LXI H, 3CF4H
PUSH PSW
SPHL
POP PSW
RET
On the completion of RET instruction, the contents of SP is
a. 3CF0H
b. 3CF8H
c. EFFDH
d. EFFFH
Answer:
Solution :


8. The point P in the following figure is stuck-at-1. The output f will be

Answer:D
Solution : https://www.youtube.com/watch?v=A5o2cyS82Ko


GATE 2007 ECE Video Solution on Digital Circuits (Digital Electronics)

1. X = 01110 and Y = 11001 are two 5 bit binary numbers represented in 2’s compliement format. The sum of X and Y represented in 2’s compliment format using 6 bits is
a. 100111
b. 001000
c. 000111
d. 101001
Answer:C
Solution : https://www.youtube.com/watch?v=BzttyDg5Psk


2. The Boolean function Y = AB + CD is to be realized using only 2 input NAND gates. The minimum number of gates required is
a. 2
b. 3
c. 4
d. 5
Answer:B
Solution : https://www.youtube.com/watch?v=NrSGprNRg7s


3. The following Boolean expression can be minimized to

Answer:D
Solution : https://www.youtube.com/watch?v=haH_7TtDohU


4. The circuit diagram of a standard TTL NOT gate is shown in the figure. When Vi = 2.5 volts, the modes of operation of the transistor will be

a. Q1 reverse active, Q2 normal active, Q3 saturation and Q4 cut-off
b. Q1 reverse active, Q2 saturation, Q3 saturation and Q4 cut-off
c. Q1 normal active, Q2 cut-off, Q3 cut-off and Q4 saturation
d. Q1 saturation, Q2 saturation, Q3 saturation and Q4 normal active
Answer:B
Solution : https://www.youtube.com/watch?v=rgKBuCdq0rw


5. In the following circuit X is given by

Answer:A
Solution : https://www.youtube.com/watch?v=pB5R0vNLQR0


6. In the following circuit, binary values were applied to the inputs X and Y inputs of the NAND latch shown in the figure in the sequence indicated below:
X = 0, Y = 1; X = 0, Y = 0; X = 1, Y = 1;

The corresponding stable P, Q outputs will be

Answer:C
Solution : https://www.youtube.com/watch?v=PEBoEN_8dW8


7. For the circuit shown, the counter state (Q1Q0) follows the sequence

a. 00, 01, 10, 11, 00…..
b. 00, 01, 10, 00, 01…..
c. 00, 01, 11, 00, 01…..
d. 00, 10, 11, 00, 10…..
Answer:B
Solution : https://www.youtube.com/watch?v=aLGSUebXUW4


8. An 8255 chip is interfaced to an 8085 microprocessor system as an I/O mapped I/O as shown in the figure. The address lines A0 and A1 of the 8085 are used by the 8255 chip to decode internally its three ports and the control register. The address lines A0 to A7 as well as the IO/M’ signal are used for address decoding. The range of addressees for which the 8255 chip would get selected is



a. F8H – FBH
b. F8H – FCH
c. F8H – FFH
d. F0H – F7H
Answer:C
Solution : https://www.youtube.com/watch?v=tWFKm8GgbEw


Statement for the linked answer questions 9 & 10 :
An 8085 assembly language program is given below.
Line 1 MVI A, B5H
2 MVI B, 0EH
3 XRI 69H
4 ADD B
5 ANI 9BH
6 CPI 9FH
7 STA 3010H
8 HLT

9. The contents of the accumulator just after execution of the ADD instruction in line 4 will
be
a. C3H
b. EAH
c. DCH
d. 69H
Answer:B

10. After execution of line 7 of the program, the status of the CY and Z flags will be ….. respectively.
a. 0, 0
b. 0, 1
c. 1, 0
d. 1, 1
Answer:C
Solution (9 & 10): https://www.youtube.com/watch?v=ptzzYWh5DPw


Statement for linked answer questions 11 & 12:
In the Digital to analog converter circuit shown in the figure below, VR = 10 volts and R = 10 kΩ.

11. The current i is
a. 31.25 µA
b. 62.5 µA
c. 125 µA
d. 250 µA
Answer:B

12. The voltage Vo is
a. – 0.781 volts
b. – 1.562 volts
c. – 3.125 volts
d. – 6.250 volts
Answer:C
Solution (11 & 12) : https://www.youtube.com/watch?v=ByhKwkrj-qs

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