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...

INTRODUCTION TO DISCRETE MATHEMATICS<br>Exercises<br>EXERCISE 6<br>1<br>Use the laws of Boolean algebra to simplify the following Boolean expressions :<br>(a) yx[x+(xxy)]<br>(b) [(rxy)+x]<br>(c) r+(yxz)]x(x+z)<br>2<br>Simplify the following Boolean expressions, and draw the digital circuits for both the<br>original and simplified expressions :<br>(a) x'y+x(x+y')<br>(b) (r+xy) y<br>(c) xz+x'y+(yz)<br>Write down the Boolean expressions corresponding to the digital circuits shown below :<br>SUS<br>

Extracted 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

Jun 09, 2022

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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...

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