Use the laws of Boolean algebra to simplify the following Boolean expressions : (a) yx[x+(xxy)] (b) [rxy')+x] (c) x+(yxz)]x(x+z)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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INTRODUCTION TO DISCRETE MATHEMATICS
Exercises
EXERCISE 6
1
Use the laws of Boolean algebra to simplify the following Boolean expressions :
(a) yx[x+(xxy)]
(b) [(rxy)+x]
(c) r+(yxz)]x(x+z)
2
Simplify the following Boolean expressions, and draw the digital circuits for both the
original and simplified expressions :
(a) x'y+x(x+y')
(b) (r+xy) y
(c) xz+x'y+(yz)
Write down the Boolean expressions corresponding to the digital circuits shown below :
SUS
Transcribed Image Text:INTRODUCTION TO DISCRETE MATHEMATICS Exercises EXERCISE 6 1 Use the laws of Boolean algebra to simplify the following Boolean expressions : (a) yx[x+(xxy)] (b) [(rxy)+x] (c) r+(yxz)]x(x+z) 2 Simplify the following Boolean expressions, and draw the digital circuits for both the original and simplified expressions : (a) x'y+x(x+y') (b) (r+xy) y (c) xz+x'y+(yz) Write down the Boolean expressions corresponding to the digital circuits shown below : SUS
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