Identidades Basicas de Algebra Booleana

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Identidades Básicas de Álgebra Booleana 1 X + 0 = X 2 X * 0 = 0 3 X + 1 = 1 4 X * 1 = 1 5 X + X = X 6 X * X = X 7 X + X’ = 1 8 X * X’ = 0 9 X + Y =Y + X 10 X * Y = Y * X 1 1 X + (Y + Z) = (X + Y) + Z 12 X * (Y * Z) = (X * Y) * Z 1 3 X * (Y + Z) = X * Y + X * Z 14 X + Y * Z = (X + Y) * (X + Z) 1 5 (X + Y)’ = X’ * Y’ 16 (X * Y)’ = X’ + Y’ 1 7 (X’)’ = X

Transcript of Identidades Basicas de Algebra Booleana

Page 1: Identidades Basicas de Algebra Booleana

Identidades Básicas de Álgebra Booleana

1 X + 0 = X 2 X * 0 = 0

3 X + 1 = 1 4 X * 1 = 1

5 X + X = X 6 X * X = X

7 X + X’ = 1 8 X * X’ = 0

9 X + Y =Y + X 10 X * Y = Y * X

11 X + (Y + Z) = (X + Y) + Z 12 X * (Y * Z) = (X * Y) * Z

13 X * (Y + Z) = X * Y + X * Z 14 X + Y * Z = (X + Y) * (X + Z)

15 (X + Y)’ = X’ * Y’ 16 (X * Y)’ = X’ + Y’

17 (X’)’ = X