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Answer to Question #20220 in Discrete Mathematics for revathi b s
Question #20220
if a.b is 0 and b.c is 0 then what is a.c?
Expert's answer
Let's build the truth table:
a b c& a.b b.c a.c
1 1 1 1 1 1
1 1 0 1 0 0
1 0 1 0 0 1
1 0 0 0 0 0
0 1 1 0 1 0
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 0 0 0
As we can see from this table, a.c can take both values (0 or 1) when a.b is 0 and b.c is 0.
a b c& a.b b.c a.c
1 1 1 1 1 1
1 1 0 1 0 0
1 0 1 0 0 1
1 0 0 0 0 0
0 1 1 0 1 0
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 0 0 0
As we can see from this table, a.c can take both values (0 or 1) when a.b is 0 and b.c is 0.
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but i want an answer according to vectors
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