Respostas dos Exercícios para Casa I

Questão 7

Z = [ (A')'.(B.C'.D + C.D) + (A').(B.C'.D + C.D)'].ABC
  = [  A.(D.(B.C' + C))  + (A').(D.(B.C' + C))'].ABC
  = [  A.(D.(B + C))  + (A').(D.(B + C))'].ABC
  = [  A.B.D + A.C.D + A'.(B.D + C.D)'].ABC
  = ABD.ABC + ACD.ABC + A'.(BD + CD)'.ABC
  = ABCD + ABCD + 0
  = ABCD

 Y = A'.B'.C + A'.B.C + A.B'.C' + A.B'.C + A.B.C 
   = A'.C.(B' + B) + A.B'(C' + C)  + A.B.C 
   = A'.C.(1) + A.B'(1)  + A.B.C 
   = A'.C + A.B'  + A.B.C 
   = A'.C + A.(B' + B.C) 
   = A'.C + A.(B' + C) 
   = A'.C + A.B' + A.C
   = C.(A'+ A) + A.B'
   = C.(1) + A.B'
   = C + A.B'

Y = A'.B'.C'.D' + A'.B.C'.D' + A.B'.C'.D' + A.B'.C'.D + A.B'.C.D' + A.B'.C.D + A.B.C'.D' 
Y = A'.C'.D'.(B' + B) + A.B'.C'.(D' + D) + A.B'.C.(D' + D) + A.B.C'.D' 
Y = A'.C'.D'.(1) + A.B'.C'.(1) + A.B'.C.(1) + A.B.C'.D' 
Y = A'.C'.D' + A.B'.C' + A.B'.C + A.B.C'.D' 
Y = C'.D'.(A'+ A.B) + A.B'.(C' + C) 
Y = C'.D'.(A'+ B) + A.B'.(1) 
Y = A'.C'.D'+ B.C'.D' + A.B'

 Y = ((A'. (B' + C)')' ⊕ A.D'
 Y = (((A'. (B' + C)')')'.A.D' + ((A'. (B' + C)')'.(A.D')' 
 Y = (A'. (B' + C)').A.D' + ((A'.(B.C')).(A'+ D)
 Y = (A'. (B' + C)').A.D' + ((A'.(B.C')).(A'+ D)
 Y = (A'. (B.C')).A.D' + ((A'.B.C').(A'+ D)
 Y = (A'.B.C').A.D' + (A'.B.C'.A'+ A'.B.C'.D)
 Y = 0 + A'.B.C'+ A'.B.C'.D
 Y = A'.B.C'(1 + D)
 Y = A'.B.C'

 Y = ( (A.B'.C' . (A + A.B.C'))' + A.B'.C + B'.C)'
 Y = ( (A.B'.C' . (A + A.B.C'))' + B'.C.(A + 1))'
 Y = ( (A.B'.C' . (A + A.B.C'))' + B'.C)'
 Y = (A.B'.C' . (A + A.B.C')) . (B'.C)'
 Y = (A.B'.C' . (A + A.B.C')) . (B+ C')
 Y = (A.B'.C'.A + A.B'.C'.A.B.C') . (B + C')
 Y = (A.B'.C' + 0) . (B + C')
 Y = A.B'.C' . (B + C')
 Y = A.B'.C'.B + A.B'.C'.C'
 Y =  0  + A.B'.C'
 Y = A.B'.C'