Adbequipo2

2
MARIENNY YSEA C.I:20.510.680 AUGUSTO TREJO C.I:20.283.384 VANESSA DIAZ: C.I:21.491.164 EJERCICIOS ALGEBRA DE BOOLE 1) F=X’Y’Z’+X’Y’Z+ X’YZ’+ XYZ’+ XYZ F=X’Y’(Z’+Z)+ X’YZ’+ XYZ’+ XYZ F=X’Y’+ X’YZ’+ XYZ’+ XYZ F=X’Y’+ X’YZ’+XY(Z’+Z) F=X’Y’+ X’YZ’+XY F= X’YZ’+1 F=1 2) F= ABC + A’B’C’ + A’B’C + A’BC + AB’C’ + AB’C F= AC (B+B’) + A’B’ (C’+C) + A’BC + AB’C’ F= AC + A’B’ + A’BC + AB’C’ F= AC + A’ (B’+ BC) + AB’C’ F= AC + A’ (B’ + C) + AB’C F= C (A + A’) + A’B’ + AB’C F= C + A’B’ + AB’C F= C + B’ (A’ + AC) F= C+ B’ (A’+ C) F= C + B’A’ + B’C 3) F = (A+B)(A’+C)C F = (A.A’+AC+A’B+BC)C F = A.C.C+A’BC+B.C.C F = AC+A’BC+BC F = AC+BC(A’+1) F = AC+BC 4) F = Y(X+Y’).(X’+Z) F = Y.(X.X’+XZ+Y’X’+Y’Z) F = Y.(XZ+Y’X’+Y’Z) F = XYZ+Y.Y’.X’+Y.Y’.Z F = XYZ

Transcript of Adbequipo2

Page 1: Adbequipo2

MARIENNY YSEA C.I:20.510.680

AUGUSTO TREJO C.I:20.283.384

VANESSA DIAZ: C.I:21.491.164

EJERCICIOS ALGEBRA DE BOOLE

1) F=X’Y’Z’+X’Y’Z+ X’YZ’+ XYZ’+ XYZ

F=X’Y’(Z’+Z)+ X’YZ’+ XYZ’+ XYZ

F=X’Y’+ X’YZ’+ XYZ’+ XYZ

F=X’Y’+ X’YZ’+XY(Z’+Z)

F=X’Y’+ X’YZ’+XY

F= X’YZ’+1

F=1

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

F= AC (B+B’) + A’B’ (C’+C) + A’BC + AB’C’

F= AC + A’B’ + A’BC + AB’C’

F= AC + A’ (B’+ BC) + AB’C’

F= AC + A’ (B’ + C) + AB’C

F= C (A + A’) + A’B’ + AB’C

F= C + A’B’ + AB’C

F= C + B’ (A’ + AC)

F= C+ B’ (A’+ C)

F= C + B’A’ + B’C

3) F = (A+B)(A’+C)C

F = (A.A’+AC+A’B+BC)C

F = A.C.C+A’BC+B.C.C

F = AC+A’BC+BC

F = AC+BC(A’+1)

F = AC+BC

4) F = Y(X+Y’).(X’+Z)

F = Y.(X.X’+XZ+Y’X’+Y’Z)

F = Y.(XZ+Y’X’+Y’Z)

F = XYZ+Y.Y’.X’+Y.Y’.Z

F = XYZ

Page 2: Adbequipo2

5) F=X’(X+Y)+Z’+ZY

F=X’.X+X’Y+Z’+ZY

F=X’Y+Z’+ZY

F=X’Y+Z’+Y

F=Y(X’+1)+Z’

F=Y+Z’

6) F = A’B’+A’B+AB’+AB

F = A’(B’+B)+A(B’+B)

F = A’+A

F = 1

7) F= (W+X’W+YZ)’

F=W’.X’W.YZ

F=W’.(X+W’).(Y’+Z’)

F=W’.(XY’+XZ’+W’Y’+W’Z’)

F=XY’W’+XW’Z’+W’.W’Y’+W’.W’Z’

F=XY’W’+XW’Z’+W’Y’+W’Z’

F=XY’W’+W’Z’(X+1)+W’Y’

F=XY’W’+W’Z’+W’Y’

F=W’Y’(X+1)+W’Z’

F=W’Y’+W’Z’

8) F = W[(X+Y)(Z+W’)]’

F = W’ + (X+Y)’ + (Z+W’)

F = W’ + X’Y’ + WZ’