1
GATE CSE 1999
MCQ (More than One Correct Answer)
+2
-0
Which of the following sets of component(s) is/are sufficient to implement any arbitrary Boolean function?
A
$$XOR$$ gates, $$NOT$$ gates
B
$$2$$ to $$1$$ multiplexers
C
$$AND$$ gates, $$XOR$$ gates
D
Three-input gates that output $$(A.B) + C$$ for the inputs $$A. B$$ and $$C.$$
2
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Consider the logic circuit shown in Figure below. The functions $${f_1},$$ $${f_2}$$ and $$f$$ (in canonical sum of products form in decimal notation) are: GATE CSE 1997 Digital Logic - Boolean Algebra Question 39 English

$${f_1}\left( {w,\,x,\,y,\,z} \right) = \sum {8,9,10} $$
$${f_2}\left( {w,\,x,\,y,\,z} \right) = \sum {7,8,12,13,18,15} $$
$$f\left( {w,\,x,\,y,\,z} \right) = \sum {\left( {8,9} \right)} $$

The function $${f_3}$$ is

A
$$\sum {9,\,10} $$
B
$$\sum 9 $$
C
$$\sum {1,8,9} $$
D
$$\sum {8,10,15} $$
3
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Let $$f\left( {x,y,z} \right) = \overline x + \overline y x + xz$$ be a switching function. Which one of the following is valid?
A
$$\overline y x$$ is a prime implicates of $$f$$
B
$$xz$$ is a minters of $$f$$
C
$$xz$$ is an implicant of $$f$$
D
y is a prime applicant of $$f$$
4
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
Two $$NAND$$ gates having open collector outputs are tied together as shown in fig. The logic function $$Y,$$ implemented by the circuit is. GATE CSE 1990 Digital Logic - Boolean Algebra Question 21 English
A
$$Y = A\overline {BC} + \overline {DE} $$
B
$$Y = ABC + DE$$
C
$$Y = \overline {ABC} .\overline {DE} $$
D
$$Y = ABC\,.\,DE$$
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12