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Logic test
1. LOGIC TEST<br />(1) State which of the following is a statement in logic. Also state their truth value<br />(i) Thirteen is a prime number<br />(ii) Close the door<br />(iii) All integers are natural numbers<br />(2) Determine the truth value of the following statements<br />(i) Paris is in China and London is in Germany<br />(ii) 3 + 5 = 8 if and only if 3 + 2 =7<br />(iii) If Rome is in Italy then Paris is in France<br />(3) If the statements p and q are true and statement r is false then find the truth value of the following <br />(4) Prepare the truth tables of : <br />(5) Using truth tables verify : <br />(6) Examine whether the following is a tautology, contradiction or contingency<br />(7) Write the dual of the following :<br /> (iii) I like tea or milk<br />(8) Write the negation of the following :<br />(i) Hema Malini is the best dancer (ii) <br />(iii) If the diagonals of a parallelogram are perpendicular then it is a rhombus<br />(9) Write the converse, inverse and contrapositive of the following <br />If a man is a bachelor then he is unhappy<br />(10) Construct switching circuit of the following : <br />