Urgent, I really need help please, I am writting tomorrow: They gave me these details to draw the logic diagram for the expression:

Draw the logic diagram for the expression: $[(A+B)+(A^{\text{'}}+B^{\text{'}})\}$

Label each step. Use only two inputs per logic gate.

Complete this question by either using the Sketch tool or uploading your answer.

the given expression $B^{\text{'}}.$

Step$-$by$-$Step Logic Diagram:

Calculate $(A+B{)}^{\text{'}}$

Inputs: $A,B$

OR Gate: Combine A and $B$

NOT Gate: Invert the output of the OR gate

Calculate $(A^{\text{'}}+B^{\text{'}})$

Inputs: $A,B$

NOT Gates: Invert A and $B$ to get $A^{\text{'}}$ and $B^{\text{'}}$

OR Gate: Combine $A^{\text{'}}$ and $B^{\text{'}}$

Calculate $(A+B{)}^{\text{'}}+(A^{\text{'}}+B^{\text{'}})$

OR Gate: Combine the outputs of the NOT gate from Step $1$ and the OR gate from Step $2$

Step $4$: Calculate $CD$

Inputs: $C$ and $D$

AND Gate: Connect $C$ and $D$ to an AND gate.

Step $5$: Combine and Invert

AND Gate: Connect the output of the OR gate from Step $3$ and the output of the AND gate from Step $4$ to another AND gate.

NOT Gate: Connect the output of this AND gate to a NOT gate to get the final output.

Explanation:

Step $1$: OR gate combines A and $B,$ then the NOT gate inverts the result to get $(A+B{)}^{\text{'}}.$

Step $2$: NOT gates invert A and $B$ to $A^{\text{'}}$ and $B^{\text{'}},$ then the OR gate combines them to get $(A^{\text{'}}+B^{\text{'}}).$

Step $3$: OR gate combines the outputs of $(A+B{)}^{\text{'}}$ and $(A^{\text{'}}+B^{\text{'}}).$

Step $4$: AND gate combines $C$ and $D.$

Step $5$: AND gate combines the outputs from Step $3$ and Step $4,$ and the final NOT gate inverts this result to get the final output.