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Complete the truth for the given statement by filling in the required column

Complete the truth for the given statement by filling in the required column-example-1

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Let's start by the first column. The symbol ~ means negation. ~s will be the opposite of s.

Since s from top to bottom is T F T F, ~s will be F T F T(from top to bottom).

The second symbol that appears is . This symbols means that p∧q is only true when both p and q are true. It needs to satisfy both of them.

From top to bottom, in the first line for ~s∧r we have ~s false and r is true, since ~s is false the combination is also false. For the second line, we have ~s true and r is true, since both are true the combination is also true. and in the last 2 elements, we have a false r which indicates both of them are also false.

This means, the second column will be F T F F(from top to bottom).

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