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Recent questions and answers in Number Representations
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1
GATE ECE 2015 Set 3 | Question: 37
A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown. Which one of the following statements is TRUE? Gate $1$ is a universal gate Gate $2$ is a universal gate Gate $3$ is a universal gate None of the gates shown is a universal gate
A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.Which one of the following statemen...
Deepak Poonia
1.3k
points
534
views
Deepak Poonia
answered
Oct 30, 2023
Number Representations
gate2015-ec-3
digital-circuits
combinational-circuits
logic-gates
functional-completeness
+
–
1
votes
1
answer
2
GATE ECE 2014 Set 4 | Question: 40
An $8$- to $1$ multiplexer is used to implement a logical function $Y$ as shown in the figure. The output $Y$ is given by $Y = A \: \overline{B} \:C+A \: \overline{C} \:D$ $Y = \overline{A} \: B \:C +A \: \overline{B} \: D$ $Y = A \: B \: \overline{C} + \overline{A} \: C \:D$ $Y= \overline{A} \: \overline{B} \: D + A \: \overline{B} \: C$
An $8$- to $1$ multiplexer is used to implement a logical function $Y$ as shown in the figure. The output $Y$ is given by$Y = A \: \overline{B} \:C+A \: \overline{C} \:D...
Deepak Poonia
1.3k
points
447
views
Deepak Poonia
answered
Oct 23, 2023
Number Representations
gate2014-ec-4
digital-circuits
combinational-circuits
multiplexers
+
–
2
votes
1
answer
3
GATE ECE 2011 | Question: 7
The logic function implemented by the circuit below is (ground implies a logic $\text{“0”})$ $\text{F=AND(P,Q})$ $\text{F=OR(P,Q})$ $\text{F=XNOR(P,Q})$ $\text{F=XOR(P,Q})$
The logic function implemented by the circuit below is (ground implies a logic $\text{“0”})$$\text{F=AND(P,Q})$$\text{F=OR(P,Q})$$\text{F=XNOR(P,Q})$$\text{F=XOR(P,Q}...
Deepak Poonia
1.3k
points
566
views
Deepak Poonia
answered
Oct 22, 2023
Number Representations
gate2011-ec
digital-circuits
multiplexers
+
–
3
votes
2
answers
4
GATE ECE 2011 | Question: 19
The output $\mathrm{Y}$ in the circuit below is always $\text{“1"}$ when two or more of the inputs $\mathrm{P, Q, R}$ are $\text{“0"}$ two or more of the inputs $\mathrm{P, Q, R}$ are $\text{“1"}$ any odd number of the inputs $\mathrm{P, Q, R}$ is $\text{“0"}$ any odd number of the inputs $\mathrm{P, Q, R}$ is $\text{“1"}$
The output $\mathrm{Y}$ in the circuit below is always $\text{“1"}$ whentwo or more of the inputs $\mathrm{P, Q, R}$ are $\text{“0"}$two or more of the inputs $\mathr...
minimalist
910
points
516
views
minimalist
answered
Oct 20, 2023
Number Representations
gate2011-ec
digital-circuits
combinational-circuits
logic-gates
+
–
1
votes
1
answer
5
GATE ECE 2020 | Question: 50
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{\text{setup}}$ is the setup-time, and $t_{\text{hold}}$ is the hold time. The maximum clock frequency (rounded off to the nearest integer), at which the given circuit can operate reliably, is _________$\text{MHz}$.
For the components in the sequential circuit shown below, $t_{pd}$ is the propagation delay, $t_{\text{setup}}$ is the setup-time, and $t_{\text{hold}}$ is the hold time....
Deepak Poonia
1.3k
points
950
views
Deepak Poonia
answered
Oct 17, 2023
Number Representations
gate2020-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
+
–
2
votes
1
answer
6
GATE ECE 2010 | Question: 39
The Boolean function realized by the logic circuit shown is $\text{F} = \sum_{\text{m}} (0, 1, 3, 5, 9, 10, 14)$ $\text{F}=\sum_{\text{m}}(2,3,5,7,8,12,13)$ $\text{F}=\sum_{\text{m}}(1,2,4,5,11, 14,15)$ $\text{F}= \sum_{\text{m}}(2,3,5,7,8,9,12)$
The Boolean function realized by the logic circuit shown is$\text{F} = \sum_{\text{m}} (0, 1, 3, 5, 9, 10, 14)$$\text{F}=\sum_{\text{m}}(2,3,5,7,8,12,13)$$\text{F}=\sum_{...
Deepak Poonia
1.3k
points
317
views
Deepak Poonia
answered
Oct 11, 2023
Number Representations
gate2010-ec
digital-circuits
combinational-circuits
multiplexers
+
–
2
votes
1
answer
7
GATE ECE 2018 | Question: 31
A four-variable Boolean function is realized using $4\times 1$ multiplexers as shown in the figure. The minimized expression for $\text{F(U,V,W,X)}$ is $\left ( UV+\overline{U}\:\overline{V}\right )\overline{W}$ ... $\left ( U\:\overline{V}+\overline{U}\:V\right )\left (\overline{W}\: \overline{X}+\overline{W}\:X\right )$
A four-variable Boolean function is realized using $4\times 1$ multiplexers as shown in the figure.The minimized expression for $\text{F(U,V,W,X)}$ is $\left ( UV+\overli...
Hira Thakur
240
points
480
views
Hira Thakur
answered
Jan 5, 2021
Number Representations
gate2018-ec
digital-circuits
combinational-circuits
multiplexers
+
–
2
votes
1
answer
8
GATE ECE 2020 | Question: 10
The figure below shows a multiplexer where $S_{1}$ and $S_{0}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\text{F(P, Q, R)}$ is the output. $\text{F}$ is $PQ+\overline{Q}R.$ $PQ+Q\overline{R}.$ $P\overline{Q}R+\overline{P}Q.$ $\overline{Q}+PR.$
The figure below shows a multiplexer where $S_{1}$ and $S_{0}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\te...
Hira Thakur
240
points
660
views
Hira Thakur
answered
Jan 5, 2021
Number Representations
gate2020-ec
digital-circuits
combinational-circuits
multiplexers
+
–
0
votes
1
answer
9
GATE ECE 2014 Set 1 | Question: 42
The digital logic shown in the figure satisfies the given state diagram when $Q1$ is connected to input $A$ of the XOR gate. Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram? Input $A$ is ... $A$ is connected to $\overline{Q1}$ and $S$ is complemented Input $A$ is connected to $\overline{Q1}$
The digital logic shown in the figure satisfies the given state diagram when $Q1$ is connected to input $A$ of the XOR gate.Suppose the XOR gate is replaced by an XNOR ga...
srestha
460
points
407
views
srestha
answered
May 19, 2020
Number Representations
gate2014-ec-1
digital-circuits
sequential-circuit
+
–
0
votes
0
answers
10
GATE ECE 2020 | Question: 32
The band diagram of a $p$-type semiconductor with a band-gap of $1$ eV is shown. Using this semiconductor, a $\text{MOS}$ capacitor having $V_{TH}$ of $-0.16 V$, ${C}'_{ox}$ of $100\:nF/cm^{2}$ and a metal work function of $3.87 \: eV$ is fabricated. There is no ... $1.70\times 10^{-8}$ $0.52\times 10^{-8}$ $1.41\times 10^{-8}$ $0.93\times 10^{-8}$
The band diagram of a $p$-type semiconductor with a band-gap of $1$ eV is shown. Using this semiconductor, a $\text{MOS}$ capacitor having $V_{TH}$ of $-0.16 V$, ${C}'_{o...
go_editor
1.9k
points
185
views
go_editor
asked
Feb 13, 2020
Number Representations
gate2020-ec
digital-circuits
semiconductor
+
–
1
votes
2
answers
11
GATE ECE 2017 Set 2 | Question: 44
Figure Ⅰ shows a $4$-bit ripple carry adder realized using full adders and Figure Ⅱ shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and OR gates in Figure Ⅱ are $20$ ns, $15$ ns and $10$ ns, respectively. Assume ... $Y_3Y_2Y_1Y_0=0100$ and $Z_0=1$. The output of the ripple carry adder will be stable at $t$ (in ns) = ___________
Figure Ⅰ shows a $4$-bit ripple carry adder realized using full adders and Figure Ⅱ shows the circuit of a full-adder (FA). The propagation delay of the XOR, AND and ...
Amit puri
140
points
3.4k
views
Amit puri
answered
Aug 29, 2018
Number Representations
gate2017-ec-2
numerical-answers
digital-circuits
combinational-circuits
adder
+
–
0
votes
0
answers
12
GATE ECE 2016 Set 3 | Question: 10
The $I-V$ characteristics of three types of diodes at the room temperature, made of semiconductors $X, Y$ and $Z$, are shown in the figure. Assume that the diodes are uniformly doped and identical in all respects except their materials. If $E_{gX}$,$E_{gY}$ ... $E_{gX}=E_{gY}=E_{gZ}$ $E_{gX}<E_{gY}<E_{gZ}$ no relationship among these band gaps exists.
The $I-V$ characteristics of three types of diodes at the room temperature, made of semiconductors $X, Y$ and $Z$, are shown in the figure. Assume that the diodes are uni...
Milicevic3306
16.0k
points
176
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
digital-circuits
semiconductor
+
–
0
votes
0
answers
13
GATE ECE 2016 Set 3 | Question: 17
The logic functionality realized by the circuit shown below is $OR$ $XOR$ $NAND$ $AND$
The logic functionality realized by the circuit shown below is $OR$$XOR$$NAND$$AND$
Milicevic3306
16.0k
points
185
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
14
GATE ECE 2016 Set 3 | Question: 44
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and $T$ are applied at the same time instant, the maximum propagation delay (in ns) of the circuit is _________
For the circuit shown in the figure, the delays of NOR gates, multiplexers and inverters are $2$ ns, $1.5$ ns and $1$ ns, respectively. If all the inputs $P, Q, R, S$ and...
Milicevic3306
16.0k
points
226
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
numerical-answers
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
15
GATE ECE 2016 Set 3 | Question: 45
For the circuit shown in the figure, the delay of the bubbled NAND gate is $2\:ns$ and that of the counter is assumed to be zero. If the clock (Clk) frequency is $1\:GHz$, then the counter behaves as a $\text{mod}-5\:\text{counter}$ $\text{mod}-6\:\text{counter}$ $\text{mod}-7\:\text{counter}$ $\text{mod}-8\:\text{counter}$
For the circuit shown in the figure, the delay of the bubbled NAND gate is $2\:ns$ and that of the counter is assumed to be zero. If the clock (Clk) frequency is $1\:GHz$...
Milicevic3306
16.0k
points
217
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-3
digital-circuits
sequential-circuit
counters
+
–
0
votes
0
answers
16
GATE ECE 2016 Set 2 | Question: 17
Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor $R=10\Omega$ and the supply voltage is $5\:V$. The $D$ flip-flops $D_{1} \:, D_{2} \:, D_{3} \:, D_{4}$ and $D_{5}$ are initialized with ... $0$, respectively. The clocks has a $30\%$ duty cycle. The average power dissipated (in $mW$) in the resistor $R$ is _________
Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor $R=10\Omega$ and the supply voltage is $5\:V$. The $D$ flip-flops $D_{1} \:, ...
Milicevic3306
16.0k
points
371
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-2
numerical-answers
digital-circuits
sequential-circuit
counters
+
–
0
votes
0
answers
17
GATE ECE 2016 Set 2 | Question: 18
A $4:1$ multiplexer is to be used for generating the output carry of a full adder. $A$ and $B$ are the bits to be added while $C_{in}$ is the input carry and $C_{out}$ is the output carry. $A$ and $B$ are to be used as the select bits with $A$ being the more significant select ... $I_{3}=C_{in}$ $I_{0}=0, I_{1}=C_{in},I_{2}=1$ and $I_{3}=C_{in}$
A $4:1$ multiplexer is to be used for generating the output carry of a full adder. $A$ and $B$ are the bits to be added while $C_{in}$ is the input carry and $C_{out}$ is...
Milicevic3306
16.0k
points
136
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-2
digital-circuits
combinational-circuits
multiplexers
+
–
0
votes
0
answers
18
GATE ECE 2016 Set 2 | Question: 43
In an $N$ bit flash ADC, the analog voltage is fed simultaneously to $2^{N}-1$ comparators. The output of the comparators is then encoded to a binary format using digital circuits. Assume that the analog voltage source $V_{in}$ ... maximum sampling rate? $1$ megasamples per second $6$ megasamples per second $64$ megasamples per second $256$ megasamples per second
In an $N$ bit flash ADC, the analog voltage is fed simultaneously to $2^{N}-1$ comparators. The output of the comparators is then encoded to a binary format using digita...
Milicevic3306
16.0k
points
221
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-2
digital-circuits
analog-to-digital-converter
+
–
0
votes
0
answers
19
GATE ECE 2016 Set 1 | Question: 11
A small percentage of impurity is added to an intrinsic semiconductor at $300 \: K$. Which one of the following statements is true for the energy band diagram shown in the following figure? Intrinsic semiconductor doped with pentavalent ... atoms to form $p$-type semiconductor. Intrinsic semiconductor doped with trivalent atoms to form $p$-type semiconductor.
A small percentage of impurity is added to an intrinsic semiconductor at $300 \: K$. Which one of the following statements is true for the energy band diagram shown in th...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-1
digital-circuits
semiconductor
+
–
0
votes
0
answers
20
GATE ECE 2016 Set 1 | Question: 43
The functionality implemented by the circuit below is $2$-to-$1$ multiplexer $4$-to-$1$ multiplexer $7$-to-$1$ multiplexer $6$-to-$1$ multiplexer
The functionality implemented by the circuit below is$2$-to-$1$ multiplexer $4$-to-$1$ multiplexer$7$-to-$1$ multiplexer$6$-to-$1$ multiplexer
Milicevic3306
16.0k
points
252
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2016-ec-1
digital-circuits
combinational-circuits
multiplexers
decoders
+
–
0
votes
0
answers
21
GATE ECE 2015 Set 3 | Question: 15
In the circuit shown, diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal, and the inputs $E_{1} , E_{2}$ and $E_{3}$ are $“0\: V”$ for logic $‘0’$ and $“10\: V”$ for logic $‘1’$. What logic gate does the circuit represent? $3$-input OR gate $3$-input NOR gate $3$-input AND gate $3$-input XOR gate
In the circuit shown, diodes $D_{1}, D_{2}$ and $D_{3}$ are ideal, and the inputs $E_{1} , E_{2}$ and $E_{3}$ are $“0\: V”$ for logic $‘0’$ and $“10\: V”$ for...
Milicevic3306
16.0k
points
193
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-3
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
22
GATE ECE 2015 Set 3 | Question: 38
An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing NOR gates to NAND gates inverters to buffers NOR gates to NAND gates and inverters to buffers $5\: V$ to ground
An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the cir...
Milicevic3306
16.0k
points
194
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-3
digital-circuits
sequential-circuit
flip-flops
+
–
1
votes
0
answers
23
GATE ECE 2015 Set 2 | Question: 14
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively, NOR, OR OR, NAND NAND, OR AND,NAND
In the figure shown, the output ܻ$Y = AB + \overline{C}\:\:\overline{D}$ is required to be ܻ The gates $G1$ and $G2$ must be, respectively,NOR, OROR, NANDNAND, ORAND,NA...
Milicevic3306
16.0k
points
161
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-2
digital-circuits
combinational-circuits
logic-gates
+
–
0
votes
0
answers
24
GATE ECE 2015 Set 2 | Question: 16
A mod-$n$ counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of $n$ is _______.
A mod-$n$ counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of $n$ is _______.
Milicevic3306
16.0k
points
257
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-2
numerical-answers
digital-circuits
sequential-circuit
counters
+
–
0
votes
0
answers
25
GATE ECE 2015 Set 2 | Question: 37
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a mod-$2$ counter mod-$4$ counter mod-$5$ counter mod-$6$ counter
The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a mod-$2$ counter mod-$4$ counter mod-$5$ counter mod-...
Milicevic3306
16.0k
points
231
views
Milicevic3306
asked
Mar 27, 2018
Number Representations
gate2015-ec-2
digital-circuits
sequential-circuit
counters
+
–
0
votes
0
answers
26
GATE ECE 2014 Set 4 | Question: 36
An N-type semiconductor having uniform doping is biased as shown in the figure. If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy level of the valance band and $E_F$ is the Fermi level, which one of the following represents the energy band diagram for the biased N-type semiconductor?
An N-type semiconductor having uniform doping is biased as shown in the figure.If $E_C$ is the lowest energy level of the conduction band, $E_V$ is the highest energy lev...
Milicevic3306
16.0k
points
97
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-4
digital-circuits
semiconductor
+
–
0
votes
0
answers
27
GATE ECE 2014 Set 3 | Question: 15
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
The circuit shown in the figure is a Toggle Flip FlopJK Flip FlopSR LatchMaster-Slave D Flip Flop
Milicevic3306
16.0k
points
186
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
sequential-circuit
flip-flops
+
–
1
votes
0
answers
28
GATE ECE 2014 Set 3 | Question: 16
Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is realized by the circuit? $F= W \overline{S_1} \: \overline{S_2}$ $F= WS_1+WS_2 + S_{1}S_{2}$ $F= \overline{W}+S_{1}+S_{2}$ $F= W\oplus S_{1}\oplus S_{2}$
Consider the multiplexer based logic circuit shown in the figure.Which one of the following Boolean functions is realized by the circuit?$F= W \overline{S_1} \: \overline...
Milicevic3306
16.0k
points
351
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
multiplexers
+
–
1
votes
0
answers
29
GATE ECE 2014 Set 3 | Question: 41
In the circuit shown, $W$ and $Y$ are MSBs of the control inputs. The output $F$ is given by $F= W\overline{X}+\overline{W}X+\overline{Y}\overline{Z}$ $F= W\overline{X}+\overline{W}X+\overline{Y}Z$ $F= W\overline{X}\overline{Y}+\overline{W}X\overline{Y}$ $F= ( \overline{W}+\overline{X} )\overline{Y}\overline{Z}$
In the circuit shown, $W$ and $Y$ are MSBs of the control inputs. The output $F$ is given by$F= W\overline{X}+\overline{W}X+\overline{Y}\overline{Z}$$F= W\overline{X}+\ov...
Milicevic3306
16.0k
points
200
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
multiplexers
+
–
1
votes
0
answers
30
GATE ECE 2014 Set 3 | Question: 42
If $X$ and $Y$ are inputs and the Difference $(D=X-Y)$ and the Borrow $(B)$ are the outputs, which one of the following diagrams implements a half-subtractor?
If $X$ and $Y$ are inputs and the Difference $(D=X-Y)$ and the Borrow $(B)$ are the outputs, which one of the following diagrams implements a half-subtractor?
Milicevic3306
16.0k
points
152
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
combinational-circuits
half-subtractor-circuit
multiplexers
+
–
0
votes
0
answers
31
GATE ECE 2014 Set 3 | Question: 54
A region shown below contains a perfect conducting half-space and air. The surface current $\overrightarrow{K_{s}}$ on the surface of the perfect conductor is $\overrightarrow{K_{s}}= \hat{x}2$ amperes per meter. The tangential $\overrightarrow{H}$ field in the ... per meter $\hat{x}2$ amperes per meter $-\hat{z}2$ amperes per meter $\hat{z}2$ amperes per meter
A region shown below contains a perfect conducting half-space and air. The surface current $\overrightarrow{K_{s}}$ on the surface of the perfect conductor is $\overright...
Milicevic3306
16.0k
points
173
views
Milicevic3306
asked
Mar 26, 2018
Number Representations
gate2014-ec-3
digital-circuits
+
–
0
votes
0
answers
32
GATE ECE 2014 Set 1 | Question: 16
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of the waveform at $Q3$ is ________.
Five JK flip-flops are cascaded to form the circuit shown in Figure. Clock pulses at a frequency of $1\: MHz$ are applied as shown. The frequency $(\text{in}\:kHz)$ of th...
Milicevic3306
16.0k
points
244
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2014-ec-1
numerical-answers
flip-flops
digital-circuits
+
–
0
votes
0
answers
33
GATE ECE 2012 | Question: 43
The state transition diagram for the logic circuit shown is
The state transition diagram for the logic circuit shown is
Milicevic3306
16.0k
points
126
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
+
–
1
votes
0
answers
34
GATE ECE 2012 | Question: 19
In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are $\overline{X}Y,X\overline{Y}$ $\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$ $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}$ $\overline{X}Y\overline{Z},\overline{X}YZ,X\overline{Y}\;\overline{Z},X\overline{Y}Z$
In the sum of products function $f(X,Y,Z)=\sum(2,3,4,5)$, the prime implicants are$\overline{X}Y,X\overline{Y}$$\overline{X}Y,X\overline{Y}\;\overline{Z},X\overline{Y}Z$$...
Milicevic3306
16.0k
points
154
views
Milicevic3306
asked
Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
boolean-algebra
+
–
0
votes
0
answers
35
GATE ECE 2012 | Question: 6
Consider the given circuit. In the circuit, the race around does not occur occurs when $\text{CLK}=0$ occurs when $\text{CLK}=1$ and $A=B=1$ occurs when $\text{CLK}=1$ and $A=B=0$
Consider the given circuit.In the circuit, the race arounddoes not occuroccurs when $\text{CLK}=0$occurs when $\text{CLK}=1$ and $A=B=1$occurs when $\text{CLK}=1$ and $A=...
Milicevic3306
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Milicevic3306
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Mar 25, 2018
Number Representations
gate2012-ec
digital-circuits
sequential-circuit
flip-flop
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0
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0
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36
GATE ECE 2018 | Question: 47
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-value resistors set the output logic levels to HIGH (i.e. the pull-ups are weak). Note that some nodes ... values of $X_{3}X_{2}X_{1}X_{0}$ (out of the $16$ possible values) that give $Y=1$ is ________.
The logic gates shown in the digital circuit below use strong pull-down $\text{nMOS}$ transistors for LOW logic level at the outputs. When the pull-downs are off, high-va...
gatecse
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gatecse
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Feb 19, 2018
Number Representations
gate2018-ec
numerical-answers
digital-circuits
combinational-circuits
logic-gates
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0
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0
answers
37
GATE ECE 2018 | Question: 46
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic HIGH and $0$ volts for logic LOW levels. The data bit and clock periods are ... period is $0.3$, the average value (in volts, accurate to two decimal places) of the voltage at node $X$, is _________.
In the circuit shown below, a positive edge-triggered $D$ Flip-Flop is used for sampling input data $D_{in}$ using clock $CK$. The XOR gate output $3.3$ volts for logic H...
gatecse
1.6k
points
232
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gatecse
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Feb 19, 2018
Number Representations
gate2018-ec
numerical-answers
digital-circuits
sequential-circuit
flip-flops
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0
votes
0
answers
38
GATE ECE 2017 Set 2 | Question: 43
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is $S_0$. ... is $10101101001101$, starting with the left-most bit, then the number of times 'Out' will be $1$ is ____________
The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output...
admin
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321
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admin
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Nov 25, 2017
Number Representations
gate2017-ec-2
fsm
numerical-answers
digital-circuits
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1
votes
0
answers
39
GATE ECE 2017 Set 2 | Question: 16
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is $\overline{X} \overline{Y} \overline{Z} + X Y +\overline{Y} Z $ $\overline{X} Y \overline{Z} + X Z + \overline{Y} Z $ $\overline{X} Y \overline{Z} +XY + \overline{Y} Z $ $\overline{X} \overline{Y} \overline{Z} + XZ+ \overline{Y}Z $
Consider the circuit shown in the figure. The Boolean expression $F$ implemented by the circuit is$\overline{X} \overline{Y} \overline{Z} + X Y +\overline{Y} Z $$\overlin...
admin
46.4k
points
335
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admin
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Nov 23, 2017
Number Representations
gate2017-ec-2
digital-circuits
combinational-circuits
multiplexers
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0
votes
0
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40
GATE ECE 2017 Set 2 | Question: 15
For the circuit shown in the figure, P and Q are the inputs and Y is the output. The logic implemented by the circuit is XNOR XOR NOR OR
For the circuit shown in the figure, P and Q are the inputs and Y is the output.The logic implemented by the circuit isXNOR XORNOROR
admin
46.4k
points
173
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admin
asked
Nov 23, 2017
Number Representations
gate2017-ec-2
logic-gates
digital-circuits
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