This document contains examples of Boolean algebra expressions and their simplifications. Some key expressions and simplifications include: 1. X'Y' + XY + Z(X'Y + XY') 2. A'B' + BC + AB' 3. AC + BC

1. 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

2. 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’