Draw the schematic diagram for each of the following Boolean Expressions: 1. AB X 2. A+B= X 3. X = A 4. ABC=X 5. AB+CD=X 6. AB+A=X Page | 4

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Mechatronics

#### Draw the schematic diagram for each of the following Boolean Expressions:

1. **AB = X**

2. **A + B = X**

3. **X = \(\overline{A}\)**

4. **ABC = X**

5. **AB + CD = X**

6. **AB + \(\overline{A}\) = X**

---

**Explanation for diagrams:**

1. **AB = X**: This diagram represents an AND gate with two inputs, A and B, producing an output, X.

2. **A + B = X**: This diagram represents an OR gate with two inputs, A and B, producing an output, X.

3. **X = \(\overline{A} \)**: This diagram represents a NOT gate with an input, A, producing an output, \( \overline{A} \), which is X.

4. **ABC = X**: This diagram represents three inputs, A, B, and C, going through an AND gate to produce an output, X.

5. **AB + CD = X**: This diagram shows two AND gates and one OR gate. The first AND gate takes inputs A and B, the second AND gate takes inputs C and D, and the outputs of these two AND gates are inputs to an OR gate, producing an output, X.

6. **AB + \(\overline{A} \)= X**: This diagram shows an AND gate with inputs A and B, a NOT gate with input A, and an OR gate. The output of the AND gate and the NOT gate are inputs to the OR gate, producing an output, X.

---

*Page | 4*
Transcribed Image Text:### Mechatronics #### Draw the schematic diagram for each of the following Boolean Expressions: 1. **AB = X** 2. **A + B = X** 3. **X = \(\overline{A}\)** 4. **ABC = X** 5. **AB + CD = X** 6. **AB + \(\overline{A}\) = X** --- **Explanation for diagrams:** 1. **AB = X**: This diagram represents an AND gate with two inputs, A and B, producing an output, X. 2. **A + B = X**: This diagram represents an OR gate with two inputs, A and B, producing an output, X. 3. **X = \(\overline{A} \)**: This diagram represents a NOT gate with an input, A, producing an output, \( \overline{A} \), which is X. 4. **ABC = X**: This diagram represents three inputs, A, B, and C, going through an AND gate to produce an output, X. 5. **AB + CD = X**: This diagram shows two AND gates and one OR gate. The first AND gate takes inputs A and B, the second AND gate takes inputs C and D, and the outputs of these two AND gates are inputs to an OR gate, producing an output, X. 6. **AB + \(\overline{A} \)= X**: This diagram shows an AND gate with inputs A and B, a NOT gate with input A, and an OR gate. The output of the AND gate and the NOT gate are inputs to the OR gate, producing an output, X. --- *Page | 4*
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