1
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Consider the Boolean function, F(w,z,y,z)=wy+ xy +$$\overline w \,xyz + \overline w \,\overline x y\, + xz + \,\overline {x\,} \,\overline y \,$$ $$\overline z $$ Which one of the following is the complete set of essential prime implicants?
A
$$w,y,xz,\overline x \,\overline z $$
B
w, y, xz
C
$$y,\overline x \,\overline {y\,} \overline {\,z} $$
D
y, xz, $$\overline x \,\,\overline {\,z} $$
2
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The output F in the digital logic circuit shown in the figure is GATE ECE 2014 Set 1 Digital Circuits - Logic Gates Question 11 English
A
$$F\, = \overline X YZ + X\overline Y Z$$
B
$$F\, = \overline X YZ + X\overline Y Z$$
C
$$F\, = \,\overline X \overline Y Z + XYZ$$
D
$$F\, = \,\overline X \overline Y \overline {Z + } XYZ$$
3
GATE ECE 2014 Set 1
Numerical
+1
-0
Five JK flip - flops are cascaded to form circuit shown in figure. Clock pulses at a frequency of 1 MHz are applied as shown. The frequency (in kHz) of the waveform at Q3 is ______. GATE ECE 2014 Set 1 Digital Circuits - Sequential Circuits Question 56 English
Your input ____
4
GATE ECE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The digital logic shown in the figure satisfies the given state diagram when Q1 is connected to input A of the XOR gate. GATE ECE 2014 Set 1 Digital Circuits - Sequential Circuits Question 33 English

Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram?

A
Input A is connected to $${\overline Q _2}$$
B
Input A is connected to $${Q_2}$$
C
Input A is connected to $${\overline Q _1}$$ and S is complemented
D
Input A is connected to $${\overline Q _1}$$
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