Compute the truth values of the following symbolic statements, supposing that the truth value of A, B, C is T, and the truth value of X, Y, Z is F. 1. ~A ¥ B 2. ~B ¥ X 3. ~Y ¥ C
with explanation please
write under each symbol and the meaning and explain why the answer is f or t
Compute the truth values of the following symbolic statements, supposing that the
truth value of A, B, C is T, and the truth value of X, Y, Z is F.
1. ~A ¥ B
2. ~B ¥ X
3. ~Y ¥ C
4. ~Z ¥ X
5. (A & X) ¥ (B & Y)
6. (B & C) ¥ (Y & Z)
7. ~(C & Y) ¥ (A & Z)
8. ~(A & B) ¥ (X & Y)
9. ~(X & Z) ¥ (B & C)
10. ~(X & ~Y) ¥ (B & ~C)
11. (A ¥ X) & (Y ¥ B)
12. (B ¥ C) & (Y ¥ Z)
13. (X ¥ Y) & (X ¥ Z)
14. ~(A ¥ Y) & (B ¥ X)
15. ~(X ¥ Z) & (~X ¥ Z)
16. ~(A ¥ C) ¥ ~(X & ~Y)
17. ~(B ¥ Z) & ~(X ¥ ~Y)
18. ~[(A ¥ ~C) ¥ (C ¥ ~A)]
19. ~[(B & C) & ~(C &B)]
20. ~[(A & B) ¥ ~(B & A)]
21. [A ¥ (B ¥ C)] & ~[(A ¥ B) ¥ C]
22. [X ¥ (Y & Z)] ¥ ~[(X ¥ Y) & (X ¥ Z)]
23. [A & (B ¥ C)] & ~[(A & B) ¥ (A & C)]
24. ~{[(~A & B) & (~X & Z)] & ~[(A & ~B) ¥ ~(~Y & ~Z)]}
25. ~{~[(B & ~C) ¥ (Y & ~Z)] & [(~B ¥ X) ¥ (B ¥ ~Y)]}
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