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sistemi di equazioni booleane di xor di and
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Proprietà XOR: | |
a x a.b = a.B | |
a x A.b = A.B x 1 | |
a.b x a.B = a | |
a.B x A.b = a x b | |
a.b x a.B.c = a x a.B.C | |
a.b.c x a.B.C = a.b x a.C | |
Proprietà distributiva AND su XOR: | |
a.(b x c) = a.b x a.c |
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Equazione 0: { e23.E26 x E24.e26.E27 x E24.e25.E26.e27 x E23.E24.e27 x e23.E25.E26.E27 x e25.e26.E27 x e23.e24.E25.e27 = 1 }
Equazione 1: { e23.e24.E27 x E24.E25.E27 x E23.e26 x e24.E26 x E25.e27 x e23.e24.e26 x E23.E25.E26.e27 x e23.e24.e25.e26.E27 x e25.e26.E27 = 0 }
Equazione 2: { E23.e27 x e23.E25.E26.e27 x E23.E25.e27 x e24.e25 x E24.e25.e26.E27 x e23.e25.E27 x e23.e24.e25.e27 x E23.e24.E25 x e24.E26 x e23.e24.E27 x e23.E24.e26 x e23.e25.e26 = 1 }
Equazione 3: { E23.E24.E26.e27 x e25.e27 x e23.E26 x E23.e24.E25 x E23.e25.E26.E27 x e23.e25.e27 x e24 x e23.E24.E25.E27 x e24.e26.e27 x e23.e25.e26 = 1 }
Equazione 4: { e23.E24 x E24.e25.E27 x E24.e25.e26 x E23.E24.e25.e26.e27 x E23.e24.E25 x e23.e25.E27 x E24.E26 x e23.e24.E27 x e24.e25.E26.e27 x e23.e25.E26.e27 x e23.e24.E26.e27 = 0 }
Equazione 5: { e26.e27 x e23.E25 x E24.e25.E26.E27 x e23.E24 x E24.E25.e27 x E23.E24.e25.E27 x E23.E26.E27 x e23.e25.e26 = 0 }