https://file.aiquickdraw.com/mathbot/file/1726393228660ouplp10d.jpg

The expression in your image is a Boolean algebra expression:

\[
\overline{A}B + A\overline{B}
\]

This is a well-known Boolean expression that can be simplified using Boolean algebra rules, specifically the **XOR (exclusive OR)** operation. The expression simplifies as follows:

\[
\overline{A}B + A\overline{B} = A \oplus B
\]

Where \( A \oplus B \) represents the XOR of \( A \) and \( B \), meaning the result is true when exactly one of \( A \) or \( B \) is true but not both.

Would you like a more detailed breakdown of the steps in Boolean algebra?

### Follow-up questions:
1. What are the basic Boolean algebra laws and identities?
2. Can you explain the XOR operation in more detail?
3. How would the expression change if we added more variables?
4. How does this expression behave in a truth table format?
5. Can we further simplify more complex Boolean expressions using XOR?

### Tip:
To simplify Boolean expressions, always try to recognize common patterns like XOR, AND, and OR, which can make the simplification faster.

Simplify the Boolean expression: A'B + AB'

Explore how to simplify the Boolean expression A'B + AB' using Boolean algebra and the XOR operation. This explanation covers key logic concepts and provides a clear step-by-step solution suitable for high school students.

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