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1- Simplifique T1 y T2 al mínimonúmero de letras
T1(A,B,C) = Sumatoria(0,1,2)
= m1 + m2 + m3
T1 = A'B'C'+A'B'C+A'BC'
T1 = A’B’ + A’C’
T2(ABC) = Sumatoria(3,4,5,6,7)
= m3 + m4 + m5 + m6 + m7
T2 = A'BC+AB'C'+AB'C+ABC'+ABC
T2 = A + BC
2- Obtenerfunciónsimplificadaensuma de productos
F(X,Y,Z) = Sumatoria (2, 3, 6, 7)
= m2 + m3 + m6 + m7
F = X’YZ’+ X’YZ+ XYZ’ + XYZ
F= Y
0
1
2
3
4
5
6
7
1 1 0 1
0 0 0 0
0 0 1 0
1 1 1 1
X Y Z F
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 1
1 0 0 0
1 0 1 0
1 1 0 1
1 1 1 1
0
1
2
3
4
5
6
7
0 0 1 1
0 0 1 1
A
0 1 3 2
4 5 7 6
BC
0 1 3 2
4 5 7 6
0 1 3 2
4 5 7 6
A
BC
X
YZ
LAB 1 U3.docx

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LAB 1 U3.docx

  • 1. 1- Simplifique T1 y T2 al mínimonúmero de letras T1(A,B,C) = Sumatoria(0,1,2) = m1 + m2 + m3 T1 = A'B'C'+A'B'C+A'BC' T1 = A’B’ + A’C’ T2(ABC) = Sumatoria(3,4,5,6,7) = m3 + m4 + m5 + m6 + m7 T2 = A'BC+AB'C'+AB'C+ABC'+ABC T2 = A + BC 2- Obtenerfunciónsimplificadaensuma de productos F(X,Y,Z) = Sumatoria (2, 3, 6, 7) = m2 + m3 + m6 + m7 F = X’YZ’+ X’YZ+ XYZ’ + XYZ F= Y 0 1 2 3 4 5 6 7 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 X Y Z F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 2 3 4 5 6 7 0 0 1 1 0 0 1 1 A 0 1 3 2 4 5 7 6 BC 0 1 3 2 4 5 7 6 0 1 3 2 4 5 7 6 A BC X YZ