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Lista de exercícios 2 – Fundamentos da Informática Nomes: Caroline Pereira Hoegen e Gustavo Cossa de Paula Santos 1)a. F= xyz + x’y’z + yz(x+xy+xz) + xy(xy+xz) F= yz(x+x+xy+xz)+x’y’z+ xy+xyz F= yz(x(1+x+z))+x’y’z+xy(1+z) F=yzx+x’y’z+xy F=xy(z+1) + x’y’z F=xy+x’y’z b. F=(xwyz+x’w+x) + xw(y(z+z’) + z(y+y’)) + xy+xy’z F= (x(wyz+1)+x’w) + xw(y + z) + x(y+y’z) F= x+x’w +xwy + xwz + x((y+y’)(y+z) ) F= x( 1 +wy+wz) + x’w + x(y+z) F= x+ x’w + x(y+z) F= x(1+ y +z) + x’w F= x+x’w F= (x+x’)(x+w) F= x+w 2) A B C D A+B'+C' AB'CD (A+B'+C').(AB'CD) B+C'+D' A+B' ((B+C'+D')(A+B'))' A⊕B ((A+B'+C').(AB'CD)+((B+C'+D')(A+B'))'+(A⊕B))' 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 0 3) a. F= abcd + abc’d’ + abcd’ + abc’d + ab’cd’ + ab’c’d + a’b’cd + a’b’c’d’ cd\ab 00 01 11 10 00 1 1 01 1 1 1 11 1 1 10 1 1 F= a’b’c’ + a’b’d + ab + ac’d + acd’ b. F= abc + ab’c + abc’ + ab’c’ + a’bc + a’b’c c\ab 00 01 11 10 0 1 1 1 1 1 1 1 F= a+c
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