2. Simplify the given Boolean function and design its logic gates. 1. Fi(x.y.z) = xy'ztxyzty'z' 2. F2(xy.z) = xy'+xz+y'z' 3. F:(x.y.z) = x'yz'+y'z+x°z' wwwww

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2. Simplify the given Boolean function and design its logic gates.
1. Fi(xy.z) = xy'ztxyzty'z'
2. F2(x.Y.z) = xy'+xz+y'z'
3. F:(X.y.z) = x'yz'+y°z+x°z'
4. F4(x.y.z) = x'y'+xz+x'z
5. Fs(x.Y.z) = xy'ztx'y'z
6. F6(x.y.z) = xty'z
7. F:(x.y.z) = x'yz + xy'z+xyz' +xyz
8. Fs(X.y.z) = (xty) (xtz) (ytz)
9. F9(x.y.z) = x'ytyz
10. Simplify and proof the distributive law (xty)(x'ty) = xx'+xytyx'+yy=y
Transcribed Image Text:2. Simplify the given Boolean function and design its logic gates. 1. Fi(xy.z) = xy'ztxyzty'z' 2. F2(x.Y.z) = xy'+xz+y'z' 3. F:(X.y.z) = x'yz'+y°z+x°z' 4. F4(x.y.z) = x'y'+xz+x'z 5. Fs(x.Y.z) = xy'ztx'y'z 6. F6(x.y.z) = xty'z 7. F:(x.y.z) = x'yz + xy'z+xyz' +xyz 8. Fs(X.y.z) = (xty) (xtz) (ytz) 9. F9(x.y.z) = x'ytyz 10. Simplify and proof the distributive law (xty)(x'ty) = xx'+xytyx'+yy=y
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