a) Question 7: In a survey among 140 students, 60 likes to play videogames, 70 likes to play indoor games, 75 likes to play outdoor games, 30 play indoor and outdoor games, 18 like to play video games and outdoor games, 42 play video games and indoor games and 8 likes to play all types of games. Use the Venn diagram to find (i) Students who play only outdoor games marks] (ii) Students who play video games and indoor games, but not outdoor games. marks] b) Represent the following as Venn diagram: [2 [3 (i) A'n (BUC) [3 marks] (ii) A'n (C - B) [3 marks] c) With the aid of clear examples explain the laws given below i) Identity [3 marks] ii) Idempotent [3 marks] iii) Complement [3 marks] QUESTION 2[20 MARKS] Given the Block diagram and Truth Table of a Priority Encoder below. Design the Logic circuit Highest priority input D: D. Priority Encoder Lowest priority Input Highest Inputs Lowest Outputs D: D. D. Y: Y₁ 0 0 x x 0 0 0 1 0 0 0 0 1 x 0 1 0 1 x x 1 0 1 x Xx x 1 1 Page 4 Page 5 L
a) Question 7: In a survey among 140 students, 60 likes to play videogames, 70 likes to play indoor games, 75 likes to play outdoor games, 30 play indoor and outdoor games, 18 like to play video games and outdoor games, 42 play video games and indoor games and 8 likes to play all types of games. Use the Venn diagram to find (i) Students who play only outdoor games marks] (ii) Students who play video games and indoor games, but not outdoor games. marks] b) Represent the following as Venn diagram: [2 [3 (i) A'n (BUC) [3 marks] (ii) A'n (C - B) [3 marks] c) With the aid of clear examples explain the laws given below i) Identity [3 marks] ii) Idempotent [3 marks] iii) Complement [3 marks] QUESTION 2[20 MARKS] Given the Block diagram and Truth Table of a Priority Encoder below. Design the Logic circuit Highest priority input D: D. Priority Encoder Lowest priority Input Highest Inputs Lowest Outputs D: D. D. Y: Y₁ 0 0 x x 0 0 0 1 0 0 0 0 1 x 0 1 0 1 x x 1 0 1 x Xx x 1 1 Page 4 Page 5 L
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![a) Question 7: In a survey among 140 students, 60 likes to play videogames, 70 likes to
play indoor games, 75 likes to play outdoor games, 30 play indoor and outdoor games,
18 like to play video games and outdoor games, 42 play video games and indoor games
and 8 likes to play all types of games. Use the Venn diagram to find
(i) Students who play only outdoor games
marks]
(ii) Students who play video games and indoor games, but not outdoor games.
marks]
b) Represent the following as Venn diagram:
[2
[3
(i) A'n (BUC)
[3 marks]
(ii) A'n (C - B)
[3 marks]
c) With the aid of clear examples explain the laws given below
i)
Identity
[3 marks]
ii)
Idempotent
[3 marks]
iii) Complement
[3 marks]
QUESTION 2[20 MARKS]
Given the Block diagram and Truth Table of a Priority Encoder below. Design the Logic
circuit
Highest priority
input
D:
D.
Priority
Encoder
Lowest priority
Input
Highest Inputs
Lowest Outputs
D: D.
D.
Y: Y₁
0
0
x
x
0
0
0
1
0
0
0
0
1
x
0
1
0
1
x
x
1
0
1
x
Xx
x
1
1
Page 4
Page 5
L](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feabebf37-4f92-4c5d-be5c-10aa9a82712d%2F1c85c61e-f0bf-4302-a2ff-14547c355ede%2F9m14b9u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) Question 7: In a survey among 140 students, 60 likes to play videogames, 70 likes to
play indoor games, 75 likes to play outdoor games, 30 play indoor and outdoor games,
18 like to play video games and outdoor games, 42 play video games and indoor games
and 8 likes to play all types of games. Use the Venn diagram to find
(i) Students who play only outdoor games
marks]
(ii) Students who play video games and indoor games, but not outdoor games.
marks]
b) Represent the following as Venn diagram:
[2
[3
(i) A'n (BUC)
[3 marks]
(ii) A'n (C - B)
[3 marks]
c) With the aid of clear examples explain the laws given below
i)
Identity
[3 marks]
ii)
Idempotent
[3 marks]
iii) Complement
[3 marks]
QUESTION 2[20 MARKS]
Given the Block diagram and Truth Table of a Priority Encoder below. Design the Logic
circuit
Highest priority
input
D:
D.
Priority
Encoder
Lowest priority
Input
Highest Inputs
Lowest Outputs
D: D.
D.
Y: Y₁
0
0
x
x
0
0
0
1
0
0
0
0
1
x
0
1
0
1
x
x
1
0
1
x
Xx
x
1
1
Page 4
Page 5
L
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