Информатика,8 класс, надо решить логические уравнения 1.(not x▲not y)▼not x 2.not a▲(not a▲b)▲a▼b▼not a 3.a▲b▲(c▼not a▼a▲c)▲not b 4.not(x▼y)▼not(x▲z)▼not(x▲y▲z)
2) Not A ⋀ (Not A ⋀ B) ⋀ A ⋁ B ⋁ Not A = Not A ⋀ B ⋀ A ⋁ B ⋁ Not A = 0 ⋀ B ⋁ B ⋁ Not A =
0 ⋁ B ⋁ Not A = B ⋁ Not A
3) A ⋀ B ⋀ (C ⋁ Not A ⋁ A ⋀ C) ⋀ Not B = A ⋀ B ⋀ (C ⋁ Not A) ⋀ Not B = A ⋀ С ⋀ B ⋀ Not B =
A ⋀ С ⋀ 0 = 0
4) Not(X ⋁ Y) ⋁ Not(X ⋀ Z) ⋁ Not(X ⋀ Y ⋀ Z) = (Not X ⋀ Not Y) ⋁ (Not X ⋁ Not Y) ⋁ Not Х ⋁ Not Y ⋁ Not Z = (Not X ⋀ Not Y) ⋁ Not Х ⋁ Not Y ⋁ Not Z = Not Х ⋁ Not Y ⋁ Not Z
1) .(Not X ⋀ Not Y) ⋎ Not X = Not Х
2) Not A ⋀ (Not A ⋀ B) ⋀ A ⋁ B ⋁ Not A = Not A ⋀ B ⋀ A ⋁ B ⋁ Not A = 0 ⋀ B ⋁ B ⋁ Not A =
0 ⋁ B ⋁ Not A = B ⋁ Not A
3) A ⋀ B ⋀ (C ⋁ Not A ⋁ A ⋀ C) ⋀ Not B = A ⋀ B ⋀ (C ⋁ Not A) ⋀ Not B = A ⋀ С ⋀ B ⋀ Not B =
A ⋀ С ⋀ 0 = 0
4) Not(X ⋁ Y) ⋁ Not(X ⋀ Z) ⋁ Not(X ⋀ Y ⋀ Z) = (Not X ⋀ Not Y) ⋁ (Not X ⋁ Not Y) ⋁ Not Х ⋁ Not Y ⋁ Not Z = (Not X ⋀ Not Y) ⋁ Not Х ⋁ Not Y ⋁ Not Z = Not Х ⋁ Not Y ⋁ Not Z