For the logic circuit shown:

a$.$ Write the Boolean expression that directly implements this circuit.

b$.$ Simplify the Boolean expression using Boolean identities. Identify the identities used as

each step.

c$.$ Simplify the Boolean expression using a Karnaugh map. Show the sum of products form,

the truth table, resulting map with the groupings marked, and the simplified expression.

d$.$ Draw the combinational circuit resulting from the simplified circuit.