# 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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## Comments

Assignment Expert09.01.13, 14:22Dear visitor

Unfortunately, you didn't clarify your requirements in the statement. Please provide more details so we could help you.

revathy09.01.13, 13:27but i want an answer according to vectors

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