Construct the Circuit diagram for the following Boolean formula. (15)W = ((AB)’ + CD)’ + (ACD’)

To construct the circuit diagram for the given Boolean formula, follow these steps:

1. Identify the variables in the formula: A, B, C, and D.

2. Identify the operations in the formula: AND, OR, and NOT.

3. Start with the innermost parentheses: (AB)'. This represents A AND B, then NOT. Draw two inputs into an AND gate for A and B, then draw the output of the AND gate into a NOT gate.

4. Next, look at CD. This represents C AND D. Draw two inputs into an AND gate for C and D.

5. Now, look at ((AB)’ + CD)’. This represents the NOT of the OR of the results from steps 3 and 4. Draw the outputs of the NOT gate from step 3 and the AND gate from step 4 into an OR gate, then draw the output of the OR gate into a NOT gate.

6. Next, look at ACD’. This represents A AND C AND (NOT D). Draw an input into a NOT gate for D, then draw the outputs of A, C, and the NOT gate into an AND gate.

7. Finally, look at the entire formula: ((AB)’ + CD)’ + (ACD’). This represents the OR of the results from steps 5 and 6. Draw the outputs of the NOT gate from step 5 and the AND gate from step 6 into an OR gate. The output of this OR gate is W, the result of the Boolean formula.

Remember, the AND gate is usually represented as a D shape, the OR gate as a curved D shape, and the NOT gate as a triangle with a circle at the tip. The inputs are drawn as lines coming into the gates, and the outputs as lines coming out of the gates.