Simplify the boolean functions and design its logic gates 4. F4(X.Y.z) = x'y'+xz+x'z5. Fs(xy.z) = xy'ztx'y'z6. F6(x.y.z) = x+y'z7. F(x.y.z) = x'yz + xy'z + xyz' +xyz8. Fs(X.Y.z) = (x+y) (xtz) (y+z)9. F9(x.y.z) = x'y+yz10. Simplify and proof the distributive law (xty)(xty) = xx'+xytyx'+yy=y

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Engineering

Computer Science

Simplify the boolean functions and design its logic gates

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

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Simplify the boolean functions and design its logic gates

4. F4(X.Y.z) = x'y'+xz+x'z
5. Fs(xy.z) = xy'ztx'y'z
6. F6(x.y.z) = x+y'z
7. F(x.y.z) = x'yz + xy'z + xyz' +xyz
8. Fs(X.Y.z) = (x+y) (xtz) (y+z)
9. F9(x.y.z) = x'y+yz
10. Simplify and proof the distributive law (xty)(xty) = xx'+xytyx'+yy=y

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