Mat1101 Tutorial 7Karnaugh Maps, Digital Circuits and Boolean NotationGrossman Chapter 81. The following logical statements have been written using the boolean short hand.Write the equivalent statements using∧, ∨,and¬. Using the laws of logic simplify thefollowing, where possible.(a)?(? + ?′?)(b)(??′+ ?′)′2. For the logical statements in Question 1, complete the following:(a) Draw the digital circuit corresponding to the original expression.(b) Construct a truth table and hence, find the disjunctive normal form of the ex-pression.(c) Use a Karnaugh Map to simplify the statements. Verify your simplification usinga truth table.3. Write the boolean expression(?′+ ?)(??)′in disjunctive normal form.4. Consider the following Boolean expression:??′?′+ ?′?? + ?′?′? + ?′??′+ ?′?′?′.Use the Karnaugh map below to simplify the expression.