Math Problem Statement
Solution
The expression shown in the image is:
This looks like a Boolean algebra expression. Let's simplify it step by step.
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Apply the Distributive Law: Expand the terms.
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Apply the Absorption Law:
Since (because a variable AND its complement is always 0), simplify the second term:
This simplifies to:
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Apply the Absorption Law again:
(because ).
Thus, the simplified form of the Boolean expression is:
Would you like further clarification or additional details on any steps?
Here are 5 related questions to consider:
- What are the basic laws of Boolean algebra?
- How does De Morgan's Law apply to Boolean expressions?
- Can you explain the difference between the Distributive and Absorption Laws in Boolean algebra?
- What real-world applications can Boolean algebra have in digital logic design?
- How would you simplify more complex Boolean expressions involving XOR and NAND?
Tip: Mastering the Absorption Law can help you quickly reduce Boolean expressions and avoid unnecessary intermediate steps!
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Math Problem Analysis
Mathematical Concepts
Boolean Algebra
Logic Gates
Simplification
Formulas
A + A·B = A (Absorption Law)
A·A' = 0 (Complement Law)
Theorems
Distributive Law
Absorption Law
Complement Law
Suitable Grade Level
Grades 10-12
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