Question
Write the logic expression (Z = …) for the diagram shown below.
X
Y
U1
NOT
U2
NOT
U3
OR2
Z
…..
X
Y
U1
NOT
U2
NOT
U3
OR2
Z
…..
Answers
GPT-4o mini
To write the logic expression for the diagram described, we need to analyze the components and their connections. Based on the description provided, we have:
1. **X** and **Y** as inputs.
2. **U1** is a NOT gate receiving input **X**. The output of **U1** will be **NOT X** or **X'**.
3. **U2** is a NOT gate receiving input **Y**. The output of **U2** will be **NOT Y** or **Y'**.
4. **U3** is not explicitly described, but it may be another NOT gate. If we assume this, let's assume U3 receives one of the outputs from U1 or U2 or otherwise.
5. **OR2** receives two inputs; we must determine which outputs from the gates are connected to this OR gate.
Assuming U3 is another NOT gate that receives input from U1 (the output of NOT X), then:
- The output of U3 would be **NOT (NOT X)**, which simplifies to **X**.
Now we can formulate the expression based on assumed connections. If the OR gate takes the outputs of U2 and U3, the inputs to OR2 would be:
- Input from U2: **Y'** (NOT Y)
- Input from U3: **X** (from NOT NOT X)
The final output Z from the OR2 gate would be:
\[ Z = X + Y' \]
If U3 is simply another NOT gate but not involving X explicitly, please provide clarification on its configuration based on your original structure.
To summarize, the resulting logic expression (if my assumptions hold) is:
\[ Z = X + Y' \]
Feel free to provide more details if you need a different configuration considered!
1. **X** and **Y** as inputs.
2. **U1** is a NOT gate receiving input **X**. The output of **U1** will be **NOT X** or **X'**.
3. **U2** is a NOT gate receiving input **Y**. The output of **U2** will be **NOT Y** or **Y'**.
4. **U3** is not explicitly described, but it may be another NOT gate. If we assume this, let's assume U3 receives one of the outputs from U1 or U2 or otherwise.
5. **OR2** receives two inputs; we must determine which outputs from the gates are connected to this OR gate.
Assuming U3 is another NOT gate that receives input from U1 (the output of NOT X), then:
- The output of U3 would be **NOT (NOT X)**, which simplifies to **X**.
Now we can formulate the expression based on assumed connections. If the OR gate takes the outputs of U2 and U3, the inputs to OR2 would be:
- Input from U2: **Y'** (NOT Y)
- Input from U3: **X** (from NOT NOT X)
The final output Z from the OR2 gate would be:
\[ Z = X + Y' \]
If U3 is simply another NOT gate but not involving X explicitly, please provide clarification on its configuration based on your original structure.
To summarize, the resulting logic expression (if my assumptions hold) is:
\[ Z = X + Y' \]
Feel free to provide more details if you need a different configuration considered!