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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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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