A 00 O D A correct logic expression for Figure 5-2 is X= (AB)(AC + CD) X=A'BC +AC'D X = ABC'(C'BD) X = (AB)(AC'CD) Figure 5-2 p

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**Explanation of Figure 5-2: Logic Circuit Diagram**

The diagram in Figure 5-2 illustrates a logic circuit consisting of multiple logic gates:

1. **Inputs:**
   - There are four inputs labeled as A, B, C, and D.

2. **Logic Gates:**
   - The first gate is a NOT gate, which inverts input A, resulting in A'.
   - The second gate is an AND gate, combining A' and B.
   - The NOT operation is also applied to input D using another NOT gate to produce D'.
   - The output from the AND gate and the results of a separate AND operation between C and D' are inputs to an OR gate.
   - Finally, the output from the OR gate is directed into another AND gate with another input B, leading to the output X.

**Diagram Description:**

- **NOT Gates:**
  - A is inverted to A'.
  - D is inverted to D'.

- **AND Gates:**
  - A' and B are inputs to the first AND gate.
  - C and D' are inputs to the second AND gate.
  - The outputs of these AND gates are inputs to the OR gate.

- **OR Gate:**
  - Takes the outputs from both AND gates and combines them.

- **Final AND Gate:**
  - Takes the output from the OR gate and combines it with B to produce output X.

**Question and Options:**

A correct logic expression for Figure 5-2 is:

- ○ X = (A'B)(AC + C'D)
- ○ X = A'BC + AC'D
- ○ X = ABC'(CBD)
- ○ X = (A'B)(AC'D)

The correct expression captures the operations performed by the logic gates in the diagram.
Transcribed Image Text:**Explanation of Figure 5-2: Logic Circuit Diagram** The diagram in Figure 5-2 illustrates a logic circuit consisting of multiple logic gates: 1. **Inputs:** - There are four inputs labeled as A, B, C, and D. 2. **Logic Gates:** - The first gate is a NOT gate, which inverts input A, resulting in A'. - The second gate is an AND gate, combining A' and B. - The NOT operation is also applied to input D using another NOT gate to produce D'. - The output from the AND gate and the results of a separate AND operation between C and D' are inputs to an OR gate. - Finally, the output from the OR gate is directed into another AND gate with another input B, leading to the output X. **Diagram Description:** - **NOT Gates:** - A is inverted to A'. - D is inverted to D'. - **AND Gates:** - A' and B are inputs to the first AND gate. - C and D' are inputs to the second AND gate. - The outputs of these AND gates are inputs to the OR gate. - **OR Gate:** - Takes the outputs from both AND gates and combines them. - **Final AND Gate:** - Takes the output from the OR gate and combines it with B to produce output X. **Question and Options:** A correct logic expression for Figure 5-2 is: - ○ X = (A'B)(AC + C'D) - ○ X = A'BC + AC'D - ○ X = ABC'(CBD) - ○ X = (A'B)(AC'D) The correct expression captures the operations performed by the logic gates in the diagram.
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