Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.2 - Applications of Propositional Logic - Exercises - Page 22: 6

Answer

$((b_{32} \land g_1 \land r_1 \land h_{16}) \lor (b_{64} \land g_2 \land r_2 \land h_{32}))\to u$

Work Step by Step

There are 2 sets of conditions of which at least one has to be satisfied. That means those sets have to be connected with OR. All the conditions within one set have to be satisfied at the same time. Therefore, it is needed to connect them with "AND". The statement is as follows: $((b_{32} \land g_1 \land r_1 \land h_{16}) \lor (b_{64} \land g_2 \land r_2 \land h_{32}))\to u$
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