1
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
Consider the following logic circuit whose inputs are functions $${f_1},$$ $${f_2},$$ $${f_3},$$ and output is $$f.$$
A
$$\sum {\left( {1,4,5} \right)}$$
B
$$\sum {\left( {6,7} \right)}$$
C
$$\sum {\left( {0,1,3,5} \right)}$$
D
None of the above
2
GATE CSE 2002
Subjective
+2
-0
Transform the following logic circuit (without expressing its switching function) into an equivalent logic circuit that employs only $$6$$ $$NAND$$ gates each with $$2$$-inputs.
3
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
$$f\left( {A,B} \right) = A' + B$$ Simplified expression for function $$f((x+y,y),z)$$ is
A
$$(x'+z)$$
B
$$x\,y\,z$$
C
$$xy' + \,z$$
D
None of the above
4
GATE CSE 2000
MCQ (Single Correct Answer)
+2
-0.6
The simultaneous equations on the Boolean variables $$x, y, z$$ and $$w,$$ $$x+y+z=1$$$$$xy=0$$$ $$xz+w=1$$$$$xy + \overline z \overline w = 0$$$
have the following for $$x, y, z$$ and $$w,$$ respectively.
A
$$0100$$
B
$$1101$$
C
$$1011$$
D
$$1000$$
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