1
GATE CSE 2002
Subjective
+5
-0
Express the function $$f( x, y, z)= xy'+ yz'$$ with only one complement operation and one or more $$AND/OR$$ operations. Draw the logic circuit implementing the expression obtained, using a single NOT gate and one or more $$AND/OR$$ gates.
2
GATE CSE 2002
MCQ (Single Correct Answer)
+1
-0.3
Minimum $$SOP$$ for $$f(w, x, y, z)$$ shown in karnaugh $$-$$ map below is GATE CSE 2002 Digital Logic - K Maps Question 11 English
A
$$x\,z + y'\,z$$
B
$$x\,z' + z\,x'$$
C
$$x'\,y + z\,x'$$
D
None
3
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
Four fair coins are tossed simultaneously. The probability that at least one head and one tail turn up is
A
1/16
B
1/8
C
7/8
D
15/16
4
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
The binary relation $$S = \phi $$ (emply set) on set A = {1, 2, 3} is
A
Neither reflexive nor symmetric
B
Symmetric and reflexive
C
Transitive and reflexive
D
Transitive and symmetric
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