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
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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
Transcribed Image Text: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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