$37.$ For the following function

a$.$ Create the truth table based on the original function

b$.$ Draw the circuit that directly implements the function from the expression

c$.$ Simplify the function using Boolean algebra

d$.$ Draw the simplified circuit

e$.$ Create the truth table for the simplified circuit and compare it with the table for the original expression.

$38.$ For the following function

a$.$ Draw the circuit that directly implements the function from the expression

b$.$ Simplify the function using Boolean algebra

c$.$ Draw the simplified circuit

d$.$ Draw a circuit equivalent to the simplified one using only NAND gates.