Ответы
Ответ дал:
0
Базовые логические выражения: (and = +)
a) not (True) = False
b) not (False) = True
------------------------------------
c) True + True = True
d) True + False = False
e) False + True= False
f) False + False = False
--------------------------------
g) True or True = True
h) True or False = True
i) False or True = True
j) False or False = False
--------------------------------------------
В условии не сказано, кем являются A, B, C
по этому озвучим все 8 вариантов:
1) A = True; B = True; C = True
2) A = True; B = False; C = True
3) A = False; B = True; C = True
4) A = False; B = False; C = True
5) A = True; B = True; C = False
6) A = True; B = False; C = False
7) A = False; B = True; C = False
8) A = False; B = False; C = False
--------------------------------------------
и рассмотрим все 8 вариантов: (T = True; F = False)
1)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=T+not(T and T)+not(not(T)+T+not(T))= =T+not(T and T)+not(not(T)+T+not(T))=](https://tex.z-dn.net/?f=%3DT%2Bnot%28T+and+T%29%2Bnot%28not%28T%29%2BT%2Bnot%28T%29%29%3D)
![=T+not(T)+not(F+T+F)=T+F+not(F)=T+F+T=F =T+not(T)+not(F+T+F)=T+F+not(F)=T+F+T=F](https://tex.z-dn.net/?f=%3DT%2Bnot%28T%29%2Bnot%28F%2BT%2BF%29%3DT%2BF%2Bnot%28F%29%3DT%2BF%2BT%3DF)
2)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=T+not(F and T)+not(not(T)+F+not(T))= =T+not(F and T)+not(not(T)+F+not(T))=](https://tex.z-dn.net/?f=%3DT%2Bnot%28F+and+T%29%2Bnot%28not%28T%29%2BF%2Bnot%28T%29%29%3D)
![=T+not(F)+not(F+F+F)=T+T+not(F)=T+T+T=T =T+not(F)+not(F+F+F)=T+T+not(F)=T+T+T=T](https://tex.z-dn.net/?f=%3DT%2Bnot%28F%29%2Bnot%28F%2BF%2BF%29%3DT%2BT%2Bnot%28F%29%3DT%2BT%2BT%3DT)
3)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=F+not(T and T)+not(not(F)+T+not(T))= =F+not(T and T)+not(not(F)+T+not(T))=](https://tex.z-dn.net/?f=%3DF%2Bnot%28T+and+T%29%2Bnot%28not%28F%29%2BT%2Bnot%28T%29%29%3D)
![=F+not(T)+not(T+T+F)=F+F+not(F)=F+F+T=F =F+not(T)+not(T+T+F)=F+F+not(F)=F+F+T=F](https://tex.z-dn.net/?f=%3DF%2Bnot%28T%29%2Bnot%28T%2BT%2BF%29%3DF%2BF%2Bnot%28F%29%3DF%2BF%2BT%3DF)
4)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=F+not(F and T)+not(not(F)+F+not(T))= =F+not(F and T)+not(not(F)+F+not(T))=](https://tex.z-dn.net/?f=%3DF%2Bnot%28F+and+T%29%2Bnot%28not%28F%29%2BF%2Bnot%28T%29%29%3D)
![=F+not(F)+not(T+F+F)=F+T+not(F)=F+T+T=F =F+not(F)+not(T+F+F)=F+T+not(F)=F+T+T=F](https://tex.z-dn.net/?f=%3DF%2Bnot%28F%29%2Bnot%28T%2BF%2BF%29%3DF%2BT%2Bnot%28F%29%3DF%2BT%2BT%3DF)
5)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=T+not(T and F)+not(not(T)+T+not(F))= =T+not(T and F)+not(not(T)+T+not(F))=](https://tex.z-dn.net/?f=%3DT%2Bnot%28T+and+F%29%2Bnot%28not%28T%29%2BT%2Bnot%28F%29%29%3D)
![=T+not(F)+not(F+T+T)=T+T+not(F)=T+T+T=T =T+not(F)+not(F+T+T)=T+T+not(F)=T+T+T=T](https://tex.z-dn.net/?f=%3DT%2Bnot%28F%29%2Bnot%28F%2BT%2BT%29%3DT%2BT%2Bnot%28F%29%3DT%2BT%2BT%3DT)
6)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=T+not(F and F)+not(not(T)+F+not(F))= =T+not(F and F)+not(not(T)+F+not(F))=](https://tex.z-dn.net/?f=%3DT%2Bnot%28F+and+F%29%2Bnot%28not%28T%29%2BF%2Bnot%28F%29%29%3D)
![=T+not(F)+not(F+F+T)=T+T+not(F)=T+T+T=T =T+not(F)+not(F+F+T)=T+T+not(F)=T+T+T=T](https://tex.z-dn.net/?f=%3DT%2Bnot%28F%29%2Bnot%28F%2BF%2BT%29%3DT%2BT%2Bnot%28F%29%3DT%2BT%2BT%3DT)
7)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=F+not(T and F)+not(not(F)+T+not(F))= =F+not(T and F)+not(not(F)+T+not(F))=](https://tex.z-dn.net/?f=%3DF%2Bnot%28T+and+F%29%2Bnot%28not%28F%29%2BT%2Bnot%28F%29%29%3D)
![=F+not(F)+not(T+T+T)=F+T+not(T)=F+T+F=F =F+not(F)+not(T+T+T)=F+T+not(T)=F+T+F=F](https://tex.z-dn.net/?f=%3DF%2Bnot%28F%29%2Bnot%28T%2BT%2BT%29%3DF%2BT%2Bnot%28T%29%3DF%2BT%2BF%3DF)
8)![A+not(B and C)+not(not(A)+B+not(C))= A+not(B and C)+not(not(A)+B+not(C))=](https://tex.z-dn.net/?f=A%2Bnot%28B+and+C%29%2Bnot%28not%28A%29%2BB%2Bnot%28C%29%29%3D)
![=F+not(F and F)+not(not(F)+F+not(F))= =F+not(F and F)+not(not(F)+F+not(F))=](https://tex.z-dn.net/?f=%3DF%2Bnot%28F+and+F%29%2Bnot%28not%28F%29%2BF%2Bnot%28F%29%29%3D)
![=F+not(F)+not(T+F+T)=F+T+not(F)=F+T+T=F =F+not(F)+not(T+F+T)=F+T+not(F)=F+T+T=F](https://tex.z-dn.net/?f=%3DF%2Bnot%28F%29%2Bnot%28T%2BF%2BT%29%3DF%2BT%2Bnot%28F%29%3DF%2BT%2BT%3DF)
a) not (True) = False
b) not (False) = True
------------------------------------
c) True + True = True
d) True + False = False
e) False + True= False
f) False + False = False
--------------------------------
g) True or True = True
h) True or False = True
i) False or True = True
j) False or False = False
--------------------------------------------
В условии не сказано, кем являются A, B, C
по этому озвучим все 8 вариантов:
1) A = True; B = True; C = True
2) A = True; B = False; C = True
3) A = False; B = True; C = True
4) A = False; B = False; C = True
5) A = True; B = True; C = False
6) A = True; B = False; C = False
7) A = False; B = True; C = False
8) A = False; B = False; C = False
--------------------------------------------
и рассмотрим все 8 вариантов: (T = True; F = False)
1)
2)
3)
4)
5)
6)
7)
8)
Вас заинтересует
1 год назад
6 лет назад
6 лет назад
8 лет назад
8 лет назад
9 лет назад
9 лет назад