(b) P→r P Show that each argument is not valid by finding a truth assignment of the variables that makes the hypotheses true, but the conclusion false. (Hint: fill out a truth table if you have trouble finding an assignment.)
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- 4. Using DeMorgan's theorem simplify the following expression: (a'+ bc')'6. Given the function F = [I(0, 1, 4, 6, 7,8,9) + Md(5, 10, 11,12) a. [10] Write the equation for F in reduced SOP form b. [10] Draw the circuit using AND gates, OR gates and INVERTERS. 0 c. [10] Draw the circuit using only NAND gates and INVERTERS.find a Hamiltonian cycle.