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EJERCICIOS – EQUIPO 8
1. F= XYZ+ XYZ+ XYZ+ XYZ+ XYZ+ XYZ
F= XY (Z+Z) + XY (Z+Z) + Z (XY+XY)
F= (XY + XY + Z)
F= (1+Z)
F= 1
2. F= ABC+ ABC+ ABC+ ABC+ ABC+ ABC
F= B (AC+AC+AC+AC) + B (AC+AC)
F= B (A (C+C) + A (C+C)) + B (C (A+A))
F= B (A+A) + BC
F= B + BC
3. F= (A+B) (A+C) C
F= (A+AB) (AC+CC)
F= AAC + AC + AABC + ABC
F= AC + A (ABC + BC)
F= AC + A (BC (A+1))
F= AC + ABC
F= C (A + AB)
F= C (A+B)
4. F= Y (X+Y) (X+Z)
F= Y (XX + XZ + YX + YZ)
Equipo 1
F= XXY + XYZ + XYY + YYZ
F= XYZ
5. F= X(X+Y) + Z + ZY
F= (XX+XY) + Z + ZY
F= XY + Z + ZY
F= XY + Z + Y
F= Y(X+1) + Z
F= Y + Z
6. F= AB + AB + AB + AB
F= A (B + B) + A (B + B)
F= A +A
F= 1
7. F= W+ XW +YZ
F= W (XW) YZ
F= W (X+W) (Y+Z)
F= W (X+W) (Y+Z)
F= W (Y+Z)
8. F= W[(X+Y)(Z+W)]
F= W +(X+Y) (Z+W)
F= W + (X+Y) + (Z+W)
F= W + (XY) + (ZW)
F= W + (XY) + (ZW)
F= W + Z + (XY)

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Algebra de Boole

  • 1. EJERCICIOS – EQUIPO 8 1. F= XYZ+ XYZ+ XYZ+ XYZ+ XYZ+ XYZ F= XY (Z+Z) + XY (Z+Z) + Z (XY+XY) F= (XY + XY + Z) F= (1+Z) F= 1 2. F= ABC+ ABC+ ABC+ ABC+ ABC+ ABC F= B (AC+AC+AC+AC) + B (AC+AC) F= B (A (C+C) + A (C+C)) + B (C (A+A)) F= B (A+A) + BC F= B + BC 3. F= (A+B) (A+C) C F= (A+AB) (AC+CC) F= AAC + AC + AABC + ABC F= AC + A (ABC + BC) F= AC + A (BC (A+1)) F= AC + ABC F= C (A + AB) F= C (A+B) 4. F= Y (X+Y) (X+Z) F= Y (XX + XZ + YX + YZ) Equipo 1
  • 2. F= XXY + XYZ + XYY + YYZ F= XYZ 5. F= X(X+Y) + Z + ZY F= (XX+XY) + Z + ZY F= XY + Z + ZY F= XY + Z + Y F= Y(X+1) + Z F= Y + Z 6. F= AB + AB + AB + AB F= A (B + B) + A (B + B) F= A +A F= 1 7. F= W+ XW +YZ F= W (XW) YZ F= W (X+W) (Y+Z) F= W (X+W) (Y+Z) F= W (Y+Z) 8. F= W[(X+Y)(Z+W)] F= W +(X+Y) (Z+W) F= W + (X+Y) + (Z+W) F= W + (XY) + (ZW)
  • 3. F= W + (XY) + (ZW) F= W + Z + (XY)