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Adbequipo2
1.
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
2.
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’
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