Question: Problem 2 (10 points) Problem 2a (5 points): Clearly identify the propositions first (2 points). Write the converse, contrapositive , and inverse of the compound

Problem 2 (10 points)

Problem 2a (5 points): Clearly identify the propositions first (2 points). Write the converse, contrapositive , and inverse of the compound proposition and the corresponding sentence after that. (3 points).

"If Mars helicopter flies on Mars then humans can colonize Mars

Problem 2b (5 points: 1 point for correct parenthesis + 2 points for correct circuit using any gate + 2 points for optimal use of NAND gate)

Make an optimal digital circuit for the following proposition using NAND gates.

p q c

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