1
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
2
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.
3
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
4
GATE CSE 2002
MCQ (Single Correct Answer)
+2
-0.6
Consider the following multiplexer where $$10, 11, 12, 13$$ are four data input lines selected by two address line combinations $${A_1}\,{A_0} = 00,01,10,11$$ respectively and $$f$$ is the output of the multiplex (or). $$EN$$ is the Enable input. GATE CSE 2002 Digital Logic - Combinational Circuits Question 12 English

The function $$f(x,y,z)$$ implemented by the above circuit is

A
$$ xyz'$$
B
$$ xy+z$$
C
$$x+y$$
D
None of the above
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