1. The document is a paper on Boolean algebra written by Jefferson Raga from the Instituto Universitario Polit辿cnico "Santiago Mari単o" in Cabimas, Venezuela in June 2016. It contains 8 problems solving Boolean expressions step-by-step.
2. The first problem simplifies the expression F= X'Y'+ X'YZ'+XY'Z'+XYZ'+XYZ to F=X'Y'+ Z'+XY.
3. The second problem simplifies the expression F=ABC+A'B'C'+A'B'C+A'BC+AB'C'+AB'C to F=A'B'+AB'+BC.
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1. REPBLICA BOLIVARIANA DE VENEZUELA
MINISTERIO DEL PODER POPULAR
PARA LA EDUCACIN UNIVERSITARIA
INSTITUTO UNIVERSITARIO POLITCNICO
SANTIAGO MARIO
EXTENSIN COL CABIMAS
Algebra de Boole
Autor: Br. Jefferson Raga
C.I:24485546
Cabimas, junio de 2016
2. 1. F= XYZ+XYZ+XYZ+XYZ+XYZ+XYZ
F=XY+ XYZ+XYZ+XYZ+XYZ
F=XY+ XYZ+XYZ+XY
F=XY+ Z+XY
2. F=ABC+ABC+ABC+ACB+ABC+ABC
F=ABC+AB (C+C)+ABC+ABC+ABC
F=ABC+AB+ABC+AB (C+C)
F=AB+AB+BC (A+A)
F=AB+AB+BC
3. F= ((A + B) (A + C))C
F = (AC+BC) (AC +C)
F = C((A +B) (A +1)
F = C((A +B) (A))
F = C (AA +AB)
F = C (AB)
F = ABC
4. F = Y ((X + Y) (X + Z))
F = (YX + YY) (YX +YZ)
F = (YX) (YX + YZ)
F = Y (X. X + Z)
F = YZ
5. F = X (X + Y) + Z + ZY
F = (XX + XY) + Z + ZY
F = XY + ZY
3. 6. F = AB + AB + AB + AB
F = AB + AB
7. F = (W + XW + YZ)
F = W (X + 1) + YZ
F = W + YZ
8. F = (W ((X + Y) (Z + W)))
F = (XW + YW) (ZW+WW)
F = (XW+ YW) (ZW)
F =W((X +Y) (Z))
F =W(XZ +YZ)
F =WXZ +WYZ