EJERCICIOS DE ALGEBRA DE BOOLE

1- F= X’Y’Z’ + X’Y’Z + X’YZ’+ XY’Z’ + XYZ’ + XYZ X’Y’(Z’ +Z) + XY(Z’+Z) + Z(X’Y+XY’) X’Y’ + XY +Z(X’Y+XY’)

2- F = ABC + A’B’C’ + A’B’C + A’BC + AB’C’ + AB’C

A’B’(C’+C) + BC(A’+A) + AB’(C’+C)

A’B’ + BC + AB’

B’(A’+A) + BC

B’ + BC

3- F= (A+B )(A’+C)C

[AA’ + AC + B A’ + BC+.C

ACC + A’BC + BCC

AC + A’BC + BC

AC + BC(A’ + 1)

AC + BC

C(A +B)

4- F = Y(X+Y’) + (X’ + Z)

Y*X.X’ + XZ + Y’X’ + Y’Z+

X’XY + XYZ + X’Y’Y + Y’YZ

XYZ

5- F = X’(X+Y) + Z’ + ZY

X’X + X’Y + Z’ +ZY

X’Y + Z’+ ZY

Y(X’ + Z) + Z’

6- F = A’B’ + A’B + AB’ +AB B’(A’ + A) + B(A’ + A) (B’ + B) 1

7- F = (W + X’W + YZ)’ W’.X.W’. Y’.Z’ X.W’.Y’.Z’

8- F = W*(X +Y ) (Z + W’)+’ W’ + (X +y)’ + (Z+W’)’ APLICANDO D’MORGAN AL 2DO TERMINO (X+Y)’ = X’.Y’ APLICANDO D’MORGAN AL 3ER TERMINO (Z + W’)’ = Z’.W ENTOCES UNIENDO W’ + X’.Y’ + Z’.W W’(1 + Z’) + X’Y’ W’ +X’Y’